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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

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 17 to 10 computations (41.2% saved)

sample960.0ms (15.1%)

Memory

-1.0MiB live, 1 052.6MiB allocated

Samples

759.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

ival-mult: 249.0ms (69.1% of total)

ival-add: 104.0ms (28.8% of total)

ival-true: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess68.0ms (1.1%)

Memory

12.2MiB live, 51.5MiB allocated

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

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)

explain116.0ms (1.8%)

Memory

-21.3MiB live, 244.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 z z)`	overflow	78
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	113
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	113
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 z z)`	overflow	156
↳	`(*.f64 z z)`	overflow	78
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	113
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 z z)`	overflow	78
↳	`(*.f64 z z)`	overflow	78

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	3
3	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 124 to 36 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 16.0ms (71.9% of total)

ival-add: 6.0ms (27% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	320	(+.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))

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	8	42
1	15	38
2	25	34
3	37	34
4	45	34
5	48	34
0	48	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize165.0ms (2.6%)

Memory

-11.4MiB live, 31.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	98.7%	(+.f64 (.f64 x y) (.f64 z z))

Samples

156.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

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

ival-add: 3.0ms (46.5% of total)

ival-mult: 3.0ms (46.5% of total)

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

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

series6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

4 → 132

Calls

Call 1

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

Outputs
#<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 (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 (* 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)>

Calls

33 calls:

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

rewrite724.0ms (11.4%)

Memory

-18.5MiB live, 572.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 458×	`accelerator-lowering-fma.f32`
10 458×	`accelerator-lowering-fma.f64`
4 638×	`-lowering-.f32`
4 638×	`-lowering-.f64`
3 250×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	50	32
2	512	26
3	7569	26
0	8173	23

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 324

Calls

Call 1

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

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

simplify266.0ms (4.2%)

Memory

22.4MiB live, 454.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 428×	`accelerator-lowering-fma.f32`
8 428×	`accelerator-lowering-fma.f64`
4 020×	`-lowering-.f32`
4 020×	`-lowering-.f64`
1 038×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(+ (* 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))))
(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))))
(* 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)

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

eval74.0ms (1.2%)

Memory: -10.2MiB live, 116.9MiB allocated
Compiler: Compiled 16 352 to 1 001 computations (93.9% saved)

prune82.0ms (1.3%)

Memory

-11.8MiB live, 109.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
▶	98.8%	(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
▶	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
	29.7%	(+.f64 (+.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 z z) (.f64 x y))) (-.f64 (.f64 z z) (.f64 x y))) (.f64 z z)) (.f64 z z))
▶	80.6%	(+.f64 (.f64 x y) (.f64 z z))
▶	56.3%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	52.1%	(*.f64 x y)

Compiler

Compiled 190 to 96 computations (49.5% saved)

simplify6.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

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	14	85
1	29	81
2	41	77
3	46	77
4	48	77
0	48	73

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize83.0ms (1.3%)

Memory

27.1MiB live, 64.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.7%	(+.f64 (.f64 x y) (.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
✓	accuracy	98.8%	(fma.f64 z (+.f64 z z) (*.f64 x y))

Samples

64.0ms

256×

valid

Compiler

Compiled 79 to 16 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (54.3% of total)

ival-add: 5.0ms (38.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-23.8MiB live, 13.3MiB allocated

Counts

8 → 204

Calls

Call 1

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

Outputs
#<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)) (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 (+ (* 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))>
#<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 (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<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 (* 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)) (* 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))))>

Calls

51 calls:

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

rewrite66.0ms (1%)

Memory

20.8MiB live, 100.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

848×	`accelerator-lowering-fma.f32`
848×	`accelerator-lowering-fma.f64`
442×	`-lowering-.f32`
442×	`-lowering-.f64`
268×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	79	48
0	753	43

Stop Event

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

Counts

8 → 131

Calls

Call 1

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

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

simplify223.0ms (3.5%)

Memory

7.8MiB live, 444.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 758×	`accelerator-lowering-fma.f32`
6 758×	`accelerator-lowering-fma.f64`
3 874×	`-lowering-.f32`
3 874×	`-lowering-.f64`
1 104×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1254
1	302	1254
2	916	1254
3	2532	1254
4	6233	1254
0	8507	1146

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 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)) (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)
(+ (* 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))))
(* 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))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 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 (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))
(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)
(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))))
(* 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)) (* 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))))

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

eval56.0ms (0.9%)

Memory: -9.3MiB live, 106.2MiB allocated
Compiler: Compiled 5 224 to 345 computations (93.4% saved)

prune62.0ms (1%)

Memory

-15.1MiB live, 62.5MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	440	5	445
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	442	10	452

Accuracy

100.0%

Counts

452 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
✓	98.8%	(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
▶	56.4%	(fma.f64 z z (.f64 z (.f64 z #s(literal 2 binary64))))
▶	81.0%	(fma.f64 z z (*.f64 x y))
✓	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
	29.7%	(+.f64 (+.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 z z) (.f64 x y))) (-.f64 (.f64 z z) (.f64 x y))) (.f64 z z)) (.f64 z z))
✓	56.3%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	56.3%	(.f64 (.f64 z #s(literal 3 binary64)) z)
▶	40.0%	(*.f64 z z)
✓	52.1%	(*.f64 x y)

Compiler

Compiled 195 to 104 computations (46.7% saved)

simplify6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(.f64 z (.f64 z #s(literal 2 binary64)))
✓	cost-diff	384	(fma.f64 z z (.f64 z (.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 z z (*.f64 x y))
✓	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)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))

Rules

54×	`accelerator-lowering-fma.f32`
54×	`accelerator-lowering-fma.f64`
30×	`-lowering-.f32`
30×	`-lowering-.f64`
28×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	26	61
2	33	61
3	41	61
4	43	61
0	43	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize85.0ms (1.3%)

Memory

-9.1MiB live, 107.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 z (.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 z z (.f64 z (.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.8%	(fma.f64 z z (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.7%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))

Samples

56.0ms

256×

valid

Compiler

Compiled 64 to 16 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (71.2% of total)

ival-add: 3.0ms (23.7% of total)

exact: 1.0ms (7.9% of total)

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

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

series4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

9 → 168

Calls

Call 1

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

Outputs
#<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)) (* 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 (* 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 (* 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 (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 (* 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 (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 (* 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 (* 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 (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>

Calls

42 calls:

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

rewrite460.0ms (7.2%)

Memory

-0.5MiB live, 695.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 320×	`accelerator-lowering-fma.f32`
8 320×	`accelerator-lowering-fma.f64`
5 154×	`-lowering-.f32`
5 154×	`-lowering-.f64`
2 322×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	59	43
2	474	43
3	5849	43
0	8272	41

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 388

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
(+.f64 (.f64 z z) (fma.f64 z (.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (fma.f64 z z (.f64 x y)) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (fma.f64 z z (*.f64 x y)))
(+.f64 (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(+.f64 (fma.f64 x y (.f64 (.f64 z z) #s(literal 2 binary64))) (*.f64 z z))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 3 binary64)) (*.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (-.f64 (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 x y)))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (.f64 (.f64 z z) #s(literal -3 binary64)))) (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (fma.f64 x y (.f64 (*.f64 z z) #s(literal -3 binary64)))))
(-.f64 (fma.f64 x y (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))))) (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (*.f64 z #s(literal -2 binary64))))))
(fma.f64 z z (fma.f64 z (.f64 z #s(literal 2 binary64)) (.f64 x y)))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 z (.f64 z #s(literal 2 binary64)) (fma.f64 z z (.f64 x y)))
(fma.f64 z (/.f64 (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) (/.f64 (.f64 z (.f64 z (.f64 z #s(literal 3 binary64)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(fma.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))))) (.f64 x y))
(fma.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (/.f64 (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (*.f64 x y))
(fma.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (/.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 y x (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (fma.f64 z z (.f64 x y)))
(fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 z z) #s(literal 9 binary64)) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))))
(fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (-.f64 (.f64 z z) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 x y)))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 (fma.f64 z z (.f64 x y)) (/.f64 (-.f64 (.f64 z z) (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y))) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (fma.f64 z z (.f64 x y)))
(fma.f64 (.f64 z #s(literal 2 binary64)) z (fma.f64 z z (.f64 x y)))
(fma.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))))) (.f64 x y))
(fma.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))) (.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))))) (.f64 x y))
(fma.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))) (/.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))))) (*.f64 x y))
(fma.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z))))) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)))) (.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)))))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)))) (/.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z))))) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 x y))
(fma.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 x y))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z (.f64 z #s(literal -2 binary64))) (neg.f64 (.f64 z (.f64 z (.f64 z z)))))) (.f64 x y))
(fma.f64 (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 x y))
(fma.f64 (neg.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)))))) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 z z) (.f64 x y)))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x y)) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))))) (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z))))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y)))) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 x y))) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 z (-.f64 (.f64 z #s(literal 2 binary64)) z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 (.f64 z #s(literal 2 binary64)) z))) (.f64 x y))
(fma.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z))) (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 z z) #s(literal 9 binary64)) (/.f64 (.f64 z z) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))))
(fma.f64 (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64))) (/.f64 z (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))))
(fma.f64 (.f64 z (.f64 z (.f64 z #s(literal 3 binary64)))) (/.f64 (.f64 z #s(literal 3 binary64)) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (fma.f64 z (.f64 z #s(literal 2 binary64)) (.f64 x y)))
(fma.f64 (/.f64 (.f64 z (.f64 z #s(literal 3 binary64))) z) (/.f64 (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))) (+.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 x y))
(fma.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y))) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y)))) (fma.f64 z z (.f64 x y)) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64)))))) (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z z) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 z z) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 8 binary64)))))) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))) (-.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 z (.f64 z (.f64 z z)))))) (.f64 x y))
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(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))))) (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 6 binary64) (.f64 z (.f64 z (.f64 z z)))) (.f64 x y))
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(neg.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) #s(literal 27 binary64))) (neg.f64 (fma.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (fma.f64 x y (.f64 (*.f64 z z) #s(literal -3 binary64))))))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) #s(literal 27 binary64)))) (fma.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (fma.f64 x y (.f64 (*.f64 z z) #s(literal -3 binary64)))))))
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(/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) #s(literal 27 binary64))) (fma.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (fma.f64 x y (.f64 (*.f64 z z) #s(literal -3 binary64))))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (fma.f64 (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (*.f64 z #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))))) (fma.f64 z (/.f64 (.f64 z (.f64 z z)) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))))))
(/.f64 (.f64 z (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 z z)))
(/.f64 (.f64 z (-.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64)))) (+.f64 z (*.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z))) z) (fma.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 z z)))
(/.f64 (.f64 (-.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))) z) (+.f64 z (*.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))))) (fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 8 binary64))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 8 binary64))) (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 z (.f64 z (.f64 z (.f64 z (*.f64 z z))))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (*.f64 z z)) #s(literal 8 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))))) (fma.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 (.f64 z z) (fma.f64 z z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 z z) (fma.f64 z z (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))))) (.f64 (.f64 z z) (fma.f64 z z (.f64 (*.f64 z z) #s(literal 4 binary64)))))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) z) (+.f64 z (.f64 z #s(literal -2 binary64))))
(pow.f64 (.f64 z (.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z (-.f64 (.f64 z #s(literal 2 binary64)) z)) (.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 z (-.f64 (*.f64 z #s(literal 2 binary64)) z)))) #s(literal -1 binary64))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))))))
(.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (/.f64 (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 z (+.f64 z (*.f64 z #s(literal -2 binary64))))))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))))))
(.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))) (.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))))))
(.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))) (/.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (*.f64 z z) #s(literal 2 binary64)))))))
(.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))))
(.f64 (neg.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z (.f64 z #s(literal -2 binary64))) (neg.f64 (.f64 z (.f64 z (.f64 z z)))))))
(.f64 (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (+.f64 z (.f64 z #s(literal -2 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 z (*.f64 z #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))))) (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 z (-.f64 (.f64 z #s(literal 2 binary64)) z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 (.f64 z #s(literal 2 binary64)) z))))
(.f64 (/.f64 (.f64 z (.f64 z #s(literal 3 binary64))) z) (/.f64 (.f64 z (+.f64 z (.f64 z #s(literal -2 binary64)))) (+.f64 z (.f64 z #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64)))))) (.f64 z (*.f64 z #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z z) (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))))) (.f64 (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 z z) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 8 binary64)))))) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))) (-.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 z (.f64 z (.f64 z z)))))))
(.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 2 binary64))))) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64)))))) (.f64 (.f64 z (.f64 z z)) (+.f64 z (*.f64 z #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 z (.f64 z #s(literal -2 binary64))))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))))) (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 6 binary64) (.f64 z (.f64 z (.f64 z z)))))
(.f64 z (.f64 z #s(literal 2 binary64)))
(.f64 (.f64 z z) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)

simplify276.0ms (4.3%)

Memory

-29.7MiB live, 419.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 122×	`accelerator-lowering-fma.f32`
7 122×	`accelerator-lowering-fma.f64`
3 712×	`-lowering-.f32`
3 712×	`-lowering-.f64`
1 410×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	854
1	166	854
2	480	854
3	1232	854
4	2810	854
5	5042	854
0	8066	800

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval164.0ms (2.6%)

Memory: 23.7MiB live, 139.8MiB allocated
Compiler: Compiled 16 543 to 745 computations (95.5% saved)

prune155.0ms (2.4%)

Memory

-2.1MiB live, 79.4MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	613	1	614
Fresh	1	0	1
Picked	0	5	5
Done	0	4	4
Total	614	10	624

Accuracy

100.0%

Counts

624 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
✓	98.8%	(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
✓	56.4%	(fma.f64 z z (.f64 z (.f64 z #s(literal 2 binary64))))
✓	81.0%	(fma.f64 z z (*.f64 x y))
✓	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
▶	14.3%	(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z))) z) (fma.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 z z)))
✓	56.3%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	56.3%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	40.0%	(*.f64 z z)
✓	52.1%	(*.f64 x y)

Compiler

Compiled 114 to 66 computations (42.1% saved)

simplify274.0ms (4.3%)

Memory

3.6MiB live, 444.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(fma.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 z z))
✓	cost-diff	512	(-.f64 (*.f64 z #s(literal 2 binary64)) z)
✓	cost-diff	704	(fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))
✓	cost-diff	1984	(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z))) z) (fma.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 z z)))

Rules

8 212×	`accelerator-lowering-fma.f32`
8 212×	`accelerator-lowering-fma.f64`
2 440×	`-lowering-.f32`
2 440×	`-lowering-.f64`
1 572×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	83
1	30	63
2	84	53
3	247	45
4	580	41
5	2213	33
0	8292	33

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (+ (* (* z (* z z)) 8) (* z (* z z))) z) (+ (* (* z 2) (- (* z 2) z)) (* z z)))
(* (+ (* (* z (* z z)) 8) (* z (* z z))) z)
(+ (* (* z (* z z)) 8) (* z (* z z)))
(* z (* z z))
z
(* z z)
8
(+ (* (* z 2) (- (* z 2) z)) (* z z))
(* z 2)
2
(- (* z 2) z)

Outputs
(/ (* (+ (* (* z (* z z)) 8) (* z (* z z))) z) (+ (* (* z 2) (- (* z 2) z)) (* z z)))
(.f64 z (.f64 z #s(literal 3 binary64)))
(* (+ (* (* z (* z z)) 8) (* z (* z z))) z)
(.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)))
(+ (* (* z (* z z)) 8) (* z (* z z)))
(.f64 (.f64 z (*.f64 z z)) #s(literal 9 binary64))
(* z (* z z))
(.f64 z (.f64 z z))
z
(* z z)
(*.f64 z z)
8
#s(literal 8 binary64)
(+ (* (* z 2) (- (* z 2) z)) (* z z))
(.f64 z (.f64 z #s(literal 3 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* z 2) z)
z

localize42.0ms (0.7%)

Memory

-21.2MiB live, 94.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (*.f64 z z))) z)
✓	accuracy	99.9%	(.f64 z (.f64 z z))
✓	accuracy	99.9%	(fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z)))
✓	accuracy	29.6%	(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64) (.f64 z (.f64 z z))) z) (fma.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 z z)))

Samples

24.0ms

256×

valid

Compiler

Compiled 86 to 17 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (59.9% of total)

ival-add: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

ival-div: 1.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.9MiB live, 11.0MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/ (* (+ (* (* z (* z z)) 8) (* z (* z z))) z) (+ (* (* z 2) (- (* z 2) z)) (* z z)))>
#<alt (+ (* (* z (* z z)) 8) (* z (* z z)))>
#<alt (- (* z 2) z)>
#<alt (+ (* (* z 2) (- (* z 2) z)) (* z z))>
#<alt (* z (* z z))>
#<alt (* (+ (* (* z (* z z)) 8) (* z (* z z))) z)>

Outputs
#<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 (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt (* 9 (pow z 3))>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt 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))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/ (* (+ (* (* z (* z z)) 8) (* z (* z z))) z) (+ (* (* z 2) (- (* z 2) z)) (* z z)))
1.0ms	z	@	inf	(* (+ (* (* z (* z z)) 8) (* z (* z z))) z)
0.0ms	z	@	inf	(+ (* (* z (* z z)) 8) (* z (* z z)))
0.0ms	z	@	-inf	(* z (* z z))
0.0ms	z	@	inf	(/ (* (+ (* (* z (* z z)) 8) (* z (* z z))) z) (+ (* (* z 2) (- (* z 2) z)) (* z z)))

rewrite619.0ms (9.7%)

Memory

31.6MiB live, 781.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 132×	`accelerator-lowering-fma.f32`
11 132×	`accelerator-lowering-fma.f64`
6 826×	`-lowering-.f32`
6 826×	`-lowering-.f64`
4 120×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	73	50
2	630	40
0	8414	38

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 652

Calls

Call 1

Inputs
(/ (* (+ (* (* z (* z z)) 8) (* z (* z z))) z) (+ (* (* z 2) (- (* z 2) z)) (* z z)))
(+ (* (* z (* z z)) 8) (* z (* z z)))
(- (* z 2) z)
(+ (* (* z 2) (- (* z 2) z)) (* z z))
(* z (* z z))
(* (+ (* (* z (* z z)) 8) (* z (* z z))) z)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (.f64 z (.f64 z z)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (.f64 z (.f64 (*.f64 z z) #s(literal 8 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 8 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (.f64 z (*.f64 z z)))))
(+.f64 (.f64 (/.f64 z (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (.f64 z z))) (.f64 (/.f64 z (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (.f64 (*.f64 z z) #s(literal 8 binary64)))))
(+.f64 (.f64 (/.f64 z (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (.f64 (.f64 z z) #s(literal 8 binary64)))) (.f64 (/.f64 z (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z))) (.f64 z (*.f64 z z))))
(+.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 #s(literal 9 binary64) (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 z #s(literal 1 binary64)) (.f64 z (.f64 z #s(literal 1 binary64)))) (.f64 z (.f64 z z))))) (.f64 z (.f64 z (.f64 #s(literal 4 binary64) (.f64 z (.f64 z #s(literal 1 binary64))))))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 #s(literal 9 binary64) (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 z #s(literal 1 binary64)) (.f64 z (.f64 z #s(literal 1 binary64)))) (.f64 z (.f64 z z))))) (.f64 (.f64 z z) (.f64 z (-.f64 z (.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64))))))))
(+.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 #s(literal 9 binary64) (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 z #s(literal 1 binary64)) (.f64 z (.f64 z #s(literal 1 binary64)))) (.f64 z (.f64 z z))))) (.f64 (.f64 z z) (.f64 z (-.f64 z (.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64))))))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 #s(literal 9 binary64) (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 z #s(literal 1 binary64)) (.f64 z (.f64 z #s(literal 1 binary64)))) (.f64 z (.f64 z z))))) (.f64 z (.f64 z (.f64 #s(literal 4 binary64) (.f64 z (.f64 z #s(literal 1 binary64))))))))
(+.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 #s(literal 9 binary64) (.f64 z z)))) (.f64 (.f64 z z) (-.f64 (.f64 #s(literal 4 binary64) (.f64 z (.f64 z #s(literal 1 binary64)))) (.f64 z z)))) (.f64 z (.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 z (.f64 z (.f64 #s(literal 9 binary64) (.f64 z z)))) (.f64 (.f64 z z) (-.f64 (.f64 #s(literal 4 binary64) (.f64 z (.f64 z #s(literal 1 binary64)))) (.f64 z z)))) (neg.f64 (.f64 z z))))
(+.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z)))) (.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1 binary64)) z)))))
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simplify32.0ms (0.5%)

Memory

-16.2MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`-lowering-.f32`
46×	`-lowering-.f64`
18×	`*-commutative`
8×	`associate-r`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	288
1	17	288
2	31	288
3	39	288
0	39	288

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

Inputs
(* 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))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
(* 9 (pow z 3))
z
z
z
z
z
z
z
z
z
z
z
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))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))

Outputs
(* 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))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
(* 9 (pow z 3))
(.f64 z (.f64 z (*.f64 z #s(literal 9 binary64))))
z
z
z
z
z
z
z
z
z
z
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))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(pow z 3)
(.f64 z (.f64 z z))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))

eval102.0ms (1.6%)

Memory: 8.8MiB live, 177.4MiB allocated
Compiler: Compiled 32 552 to 2 120 computations (93.5% saved)

prune102.0ms (1.6%)

Memory

-8.1MiB live, 271.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	745	1	746
Fresh	0	0	0
Picked	1	0	1
Done	0	9	9
Total	746	10	756

Accuracy

100.0%

Counts

756 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
✓	98.8%	(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
✓	56.4%	(fma.f64 z z (.f64 z (.f64 z #s(literal 2 binary64))))
✓	81.0%	(fma.f64 z z (*.f64 x y))
✓	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
	14.3%	(/.f64 (.f64 z (.f64 z (.f64 #s(literal 9 binary64) (.f64 z z)))) (.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z #s(literal 1 binary64)) z)))
✓	56.3%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	56.3%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	40.0%	(*.f64 z z)
✓	52.1%	(*.f64 x y)

Compiler

Compiled 272 to 113 computations (58.5% saved)

regimes30.0ms (0.5%)

Memory

13.7MiB live, 52.4MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.8%	1	`(*.f64 x y)`
98.8%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes24.0ms (0.4%)

Memory

-1.0MiB live, 36.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(*.f64 z z)
4.0ms	x
4.0ms	y
4.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.7%	1	`(*.f64 x y)`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes22.0ms (0.4%)

Memory

-7.5MiB live, 33.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(*.f64 z z)
3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`
98.3%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.3%	1	`(*.f64 x y)`
98.3%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes18.0ms (0.3%)

Memory

-7.5MiB live, 30.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	x
3.0ms	z
3.0ms	y
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
85.4%	3	`x`
81.0%	1	`y`
86.2%	2	`z`
85.8%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
88.8%	3	`(*.f64 x y)`
86.2%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	(*.f64 x y)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.4%	2	`z`
85.4%	2	`(*.f64 z z)`
74.5%	3	`(*.f64 x y)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.4%	2	`z`
85.4%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.2%)

Memory

-23.7MiB live, 13.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 z z)
2.0ms	z
2.0ms	y
2.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
60.1%	3	`y`
58.6%	3	`x`
68.8%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
78.8%	2	`z`
78.8%	2	`(*.f64 z z)`

Compiler

Compiled 36 to 21 computations (41.7% saved)

regimes8.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

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

6 calls:

1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`y`
52.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
52.1%	1	`(*.f64 x y)`
52.1%	1	`z`
52.1%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch34.0ms (0.5%)

Memory

-20.2MiB live, 17.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	9.13198493384892e-297	7.231361067726591e-296
8.0ms	-1.2362098729853939e-88	-1.71825705396188e-90

Samples

26.0ms

208×

valid

Compiler

Compiled 242 to 170 computations (29.8% saved)

Precisions

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

ival-add: 2.0ms (49.2% of total)

ival-mult: 1.0ms (24.6% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.780971843790131e-24	5.629540426002001e-13

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.780971843790131e-24	5.629540426002001e-13

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch14.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.136691717103278e+304	+inf

Samples

4.0ms	97×	0	valid
1.0ms	9×	3	valid
1.0ms	7×	4	valid
1.0ms	10×	2	valid
0.0ms	5×	1	valid

Compiler

Compiled 113 to 86 computations (23.9% saved)

Precisions

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

ival-add: 3.0ms (57.7% of total)

adjust: 1.0ms (19.2% of total)

ival-mult: 1.0ms (19.2% of total)

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

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

simplify8.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	94
1	35	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 x y) #s(literal -6880495847970215/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (fma.f64 z z (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 7547434857405947/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 (.f64 z #s(literal 3 binary64)) z) (fma.f64 z z (.f64 x y))))
(if (<=.f64 (.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 450000000000000031135982695891402465822107252156409488150945866279589366543034268905641061183379463473348920604588853117871771106870630474615630139057574004342352342751611014035713161131148019987705324055006712075246346590097255711793297604501607415718753264153609435254775015763733476284342235617701134336 binary64)) (.f64 x y) (*.f64 z z))
(*.f64 x y)

Outputs
(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 x y) #s(literal -6880495847970215/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (fma.f64 z z (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 7547434857405947/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 (.f64 z #s(literal 3 binary64)) z) (fma.f64 z z (.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -6880495847970215/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (fma.f64 z z (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 7547434857405947/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) (.f64 z (.f64 z #s(literal 3 binary64))) (fma.f64 z z (.f64 x y))))
(if (<=.f64 (.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (.f64 x y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 450000000000000031135982695891402465822107252156409488150945866279589366543034268905641061183379463473348920604588853117871771106870630474615630139057574004342352342751611014035713161131148019987705324055006712075246346590097255711793297604501607415718753264153609435254775015763733476284342235617701134336 binary64)) (.f64 x y) (*.f64 z z))
(*.f64 x y)

soundness775.0ms (12.2%)

Memory

-20.4MiB live, 425.4MiB allocated

Rules

10 458×	`accelerator-lowering-fma.f32`
10 458×	`accelerator-lowering-fma.f64`
8 428×	`accelerator-lowering-fma.f32`
8 428×	`accelerator-lowering-fma.f64`
6 758×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763
0	14	52
1	79	48
0	753	43
0	86	1254
1	302	1254
2	916	1254
3	2532	1254
4	6233	1254
0	8507	1146
0	8	36
1	50	32
2	512	26
3	7569	26
0	8173	23

Stop Event

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

Compiler

Compiled 248 to 123 computations (50.4% saved)

preprocess103.0ms (1.6%)

Memory

19.5MiB live, 96.9MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 320 to 116 computations (63.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample960.0ms (15.1%)

preprocess68.0ms (1.1%)

explain116.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize165.0ms (2.6%)

series6.0ms (0.1%)

rewrite724.0ms (11.4%)

simplify266.0ms (4.2%)

eval74.0ms (1.2%)

prune82.0ms (1.3%)

simplify6.0ms (0.1%)

localize83.0ms (1.3%)

series6.0ms (0.1%)

rewrite66.0ms (1%)

simplify223.0ms (3.5%)

eval56.0ms (0.9%)

prune62.0ms (1%)

simplify6.0ms (0.1%)

localize85.0ms (1.3%)

series4.0ms (0.1%)

rewrite460.0ms (7.2%)

simplify276.0ms (4.3%)

eval164.0ms (2.6%)

prune155.0ms (2.4%)

simplify274.0ms (4.3%)

localize42.0ms (0.7%)

series5.0ms (0.1%)

rewrite619.0ms (9.7%)

simplify32.0ms (0.5%)

eval102.0ms (1.6%)

prune102.0ms (1.6%)

regimes30.0ms (0.5%)

regimes24.0ms (0.4%)

regimes22.0ms (0.4%)

regimes18.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch34.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify8.0ms (0.1%)

soundness775.0ms (12.2%)

preprocess103.0ms (1.6%)

end0.0ms (0%)

Profiling