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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 11 computations (35.3% saved)

sample1.1s (11%)

Memory

33.6MiB live, 1 728.1MiB allocated

Samples

420.0ms	5 779×	0	valid
361.0ms	2 477×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

ival-mult: 338.0ms (61.1% of total)

ival-sub: 118.0ms (21.3% of total)

ival-add: 54.0ms (9.8% of total)

adjust: 36.0ms (6.5% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess1.4s (14.1%)

Memory

-32.1MiB live, 1 145.9MiB allocated

Algorithm

2×	egg-herbie

Rules

33 588×	`accelerator-lowering-fma.f32`
33 588×	`accelerator-lowering-fma.f64`
4 720×	`+-lowering-+.f64`
4 720×	`+-lowering-+.f32`
3 070×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	136
1	167	80
2	535	56
3	1933	52
4	5091	52
5	6807	52
6	7482	52
7	7712	52
8	7766	52
9	7810	52
0	9	13
1	27	9
2	85	7
3	226	5
4	743	5
5	2419	5
6	4182	5
7	5143	5
8	5807	5
9	6112	5
10	6267	5
11	6285	5
12	6285	5
13	6285	5
0	8186	5

Stop Event

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

Calls

Call 1

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

Outputs
(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))

Call 2

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

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

Symmetry

(negabs y)

explain245.0ms (2.5%)

Memory

15.8MiB live, 250.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	nan-rescue	67	0
↳	`(*.f64 y y)`	overflow	74
↳	`(*.f64 x y)`	overflow	34
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	83
↳	`(*.f64 y y)`	overflow	74
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	cancellation	21	0
`-.f64`	`(-.f64 (.f64 x y) (.f64 y y))`	nan-rescue	11	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 y y)`	overflow	74
`-.f64`	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`	nan-rescue	6	0
↳	`(*.f64 y y)`	overflow	148
↳	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	overflow	34
↳	`(*.f64 x y)`	overflow	34
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	83
↳	`(*.f64 y z)`	overflow	32

Confusion

	Predicted +	Predicted -
+	86	0
-	9	161

Precision

0.9052631578947369

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	0
-	9	0	161

Precision?

0.9052631578947369

Recall?

1.0

Freqs

test

number	freq
0	161
1	86
2	8
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

108.0ms	214×	1	valid
19.0ms	296×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 130 to 40 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sub: 36.0ms (41.9% of total)

adjust: 33.0ms (38.4% of total)

ival-mult: 13.0ms (15.1% of total)

ival-add: 3.0ms (3.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Compiler

Compiled 18 to 9 computations (50% saved)

simplify1.1s (11.5%)

Memory

-12.7MiB live, 877.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	384	(-.f64 (.f64 x y) (.f64 y y))
✓	cost-diff	384	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
✓	cost-diff	768	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Rules

33 588×	`accelerator-lowering-fma.f32`
33 588×	`accelerator-lowering-fma.f64`
4 720×	`+-lowering-+.f64`
4 720×	`+-lowering-+.f32`
3 070×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	27	33
2	85	27
3	226	25
4	743	25
5	2419	25
6	4182	25
7	5143	25
8	5807	25
9	6112	25
10	6267	25
11	6285	25
12	6285	25
13	6285	25
0	8186	25

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (- (* x y) (* y y)) (* y y))
(fma.f64 y x #s(literal 0 binary64))
(- (* x y) (* y y))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
x
y
(* y y)
(fma.f64 y y #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
z

localize66.0ms (0.7%)

Memory

-17.9MiB live, 59.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.9%	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
✓	accuracy	96.3%	(-.f64 (.f64 x y) (.f64 y y))
✓	accuracy	59.2%	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Samples

22.0ms	148×	0	valid
13.0ms	107×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 19.0ms (74.2% of total)

ival-sub: 3.0ms (11.7% of total)

ival-add: 2.0ms (7.8% of total)

adjust: 1.0ms (3.9% of total)

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

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

series7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

27 calls:

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

rewrite1.2s (12%)

Memory

-5.7MiB live, 1 003.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

16 524×	`accelerator-lowering-fma.f32`
16 524×	`accelerator-lowering-fma.f64`
5 278×	`-lowering-.f32`
5 278×	`-lowering-.f64`
3 274×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	64	24
2	655	18
0	9251	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 769

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (.f64 y y) (.f64 y (-.f64 x y)))
(+.f64 (.f64 y (-.f64 x y)) (.f64 y y))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y (-.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y (+.f64 x y)))
(+.f64 (.f64 y (+.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 x y) (-.f64 x y))) (fma.f64 x y #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x y #s(literal 0 binary64)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y y))))
(-.f64 (.f64 y (-.f64 x y)) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y y))
(-.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x)))) (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x)))) (.f64 y y)))
(-.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x)))) (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 y y))))
(-.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x)))) (+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x)))) (.f64 y y)))
(-.f64 (/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) (.f64 y (+.f64 x y))) (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y (+.f64 x y))) (.f64 y y)))
(-.f64 (/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) (.f64 y (+.f64 x y))) (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y (+.f64 x y))) (-.f64 #s(literal 0 binary64) (.f64 y y))))
(-.f64 (/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) (.f64 y (+.f64 x y))) (+.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y (+.f64 x y))) (.f64 y y)))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 x y) (-.f64 x y))) (fma.f64 x y #s(literal 0 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x y #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y (-.f64 y (-.f64 x y)))) (/.f64 (.f64 (.f64 y y) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 y (-.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (.f64 y (.f64 (-.f64 x y) (.f64 (.f64 y y) (.f64 (-.f64 x y) (-.f64 x y))))) (fma.f64 y (.f64 (.f64 y (-.f64 x y)) (-.f64 x y)) (fma.f64 x (.f64 y (.f64 y y)) #s(literal 0 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 y (.f64 (.f64 y (-.f64 x y)) (-.f64 x y)) (fma.f64 x (.f64 y (.f64 y y)) #s(literal 0 binary64)))))
(-.f64 (fma.f64 y (-.f64 x y) #s(literal 0 binary64)) (*.f64 y y))
(-.f64 (fma.f64 y y (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (.f64 x x))))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(-.f64 (fma.f64 y y (/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) (.f64 y (+.f64 x y)))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 y (+.f64 x y))))
(-.f64 (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) (*.f64 y y))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 y y (*.f64 y (-.f64 x y)))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 y (-.f64 x y)))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 y (+.f64 x y)))
(fma.f64 y (-.f64 x y) (*.f64 y y))
(fma.f64 y (-.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 y (+.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 y (+.f64 y (-.f64 x y)) #s(literal 0 binary64))
(fma.f64 y (-.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 y (-.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 y (+.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
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simplify338.0ms (3.5%)

Memory

3.6MiB live, 237.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 996×	`accelerator-lowering-fma.f32`
3 996×	`accelerator-lowering-fma.f64`
2 108×	`-lowering-.f32`
2 108×	`-lowering-.f64`
1 920×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	522
1	151	426
2	377	426
3	1157	426
4	3328	426
5	5389	426
6	6415	426
7	7420	426
8	7587	426
9	7711	426
10	7808	426
0	8624	426

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 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)
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (pow y 2))
(- (* x y) (pow y 2))
(- (* x y) (pow y 2))
(- (* x y) (pow y 2))
(* x y)
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* x y)
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* 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
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (- (/ (* x y) z) y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (- (/ (* x y) z) y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (- (/ (* x y) z) y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(- (* x y) (pow y 2))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(- (* x y) (pow y 2))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(- (* x y) (pow y 2))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 y)))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* y (+ x (* -1 y)))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* y (+ x (* -1 y)))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval265.0ms (2.7%)

Memory: 25.7MiB live, 215.8MiB allocated
Compiler: Compiled 33 486 to 2 210 computations (93.4% saved)

prune158.0ms (1.6%)

Memory

-44.6MiB live, 283.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	873	4	877
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	874	4	878

Accuracy

100.0%

Counts

878 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (-.f64 #s(literal 0 binary64) z) y (fma.f64 x y #s(literal 0 binary64)))
▶	100.0%	(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
▶	59.8%	(fma.f64 x y #s(literal 0 binary64))
▶	97.6%	(-.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify20.0ms (0.2%)

Memory

5.2MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x y #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	384	(fma.f64 (-.f64 #s(literal 0 binary64) z) y (fma.f64 x y #s(literal 0 binary64)))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x y #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 y z)
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	384	(-.f64 (.f64 y x) (.f64 y z))

Rules

256×	`accelerator-lowering-fma.f32`
256×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
80×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	36	46
2	61	46
3	83	46
4	116	46
5	170	46
6	235	46
7	336	46
8	383	46
9	385	46
0	385	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* y x) (* y z))
(* y x)
y
x
(* y z)
z
(+ (* x y) 0)
x
y
0
(+ (* y (- x z)) 0)
y
(- x z)
x
z
0
(+ (* (- 0 z) y) (+ (* x y) 0))
(- 0 z)
0
z
y
(+ (* x y) 0)
x

Outputs
(- (* y x) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(* y z)
(fma.f64 y z #s(literal 0 binary64))
z
(+ (* x y) 0)
(fma.f64 y x #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(+ (* y (- x z)) 0)
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
y
(- x z)
(-.f64 x z)
x
z
0
#s(literal 0 binary64)
(+ (* (- 0 z) y) (+ (* x y) 0))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
y
(+ (* x y) 0)
(fma.f64 y x #s(literal 0 binary64))
x

localize45.0ms (0.5%)

Memory

29.8MiB live, 106.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	98.8%	(fma.f64 (-.f64 #s(literal 0 binary64) z) y (fma.f64 x y #s(literal 0 binary64)))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	97.9%	(-.f64 (.f64 y x) (.f64 y z))

Samples

29.0ms

256×

valid

Compiler

Compiled 58 to 17 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (50.6% of total)

ival-sub: 4.0ms (25.3% of total)

ival-add: 3.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-14.4MiB live, 23.9MiB allocated

Counts

8 → 216

Calls

Call 1

Inputs
#<alt (- (* y x) (* y z))>
#<alt (* y x)>
#<alt (* y z)>
#<alt (+ (* x y) 0)>
#<alt (+ (* y (- x z)) 0)>
#<alt (- x z)>
#<alt (+ (* (- 0 z) y) (+ (* x y) 0))>
#<alt (- 0 z)>

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

Calls

54 calls:

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

rewrite458.0ms (4.7%)

Memory

0.4MiB live, 1 074.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 298×	`accelerator-lowering-fma.f32`
8 298×	`accelerator-lowering-fma.f64`
3 826×	`-lowering-.f32`
3 826×	`-lowering-.f64`
3 660×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	111	29
2	1089	29
0	8860	29

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1 726

Calls

Call 1

Inputs
(- (* y x) (* y z))
(* y x)
(* y z)
(+ (* x y) 0)
(+ (* y (- x z)) 0)
(- x z)
(+ (* (- 0 z) y) (+ (* x y) 0))
(- 0 z)

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

simplify258.0ms (2.6%)

Memory

6.6MiB live, 361.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 306×	`associate-/r*`
2 872×	`/-lowering-/.f32`
2 872×	`/-lowering-/.f64`
2 624×	`accelerator-lowering-fma.f32`
2 624×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	816
1	190	816
2	474	816
3	1380	816
4	2855	816
5	4018	816
6	4794	816
7	5409	816
8	5624	816
9	5740	816
10	6329	816
11	6643	816
12	6643	816
13	6643	816
14	6643	816
0	8172	816

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

Outputs
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (- (/ (* x y) z) y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (- (/ (* x y) z) y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (- (/ (* x y) z) y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)

eval456.0ms (4.7%)

Memory: 19.8MiB live, 635.5MiB allocated
Compiler: Compiled 61 802 to 1 754 computations (97.2% saved)

prune163.0ms (1.7%)

Memory

-3.7MiB live, 486.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	2 123	3	2 126
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	2 126	4	2 130

Accuracy

100.0%

Counts

2 130 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (-.f64 #s(literal 0 binary64) z) y (*.f64 y x))
✓	97.6%	(-.f64 (.f64 y x) (.f64 y z))
▶	100.0%	(*.f64 (-.f64 x z) y)
▶	59.8%	(*.f64 y x)

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify19.0ms (0.2%)

Memory

8.6MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	384	(fma.f64 (-.f64 #s(literal 0 binary64) z) y (*.f64 y x))
✓	cost-diff	-64	(*.f64 (-.f64 x z) y)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	-64	(*.f64 y x)

Rules

256×	`accelerator-lowering-fma.f32`
256×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
80×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	18	30
2	35	30
3	64	30
4	84	30
5	126	30
6	180	30
7	260	30
8	381	30
9	447	30
10	457	30
0	457	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* y x)
y
x
(* (- x z) y)
(- x z)
x
z
y
(+ (* (- 0 z) y) (* y x))
(- 0 z)
0
z
y
(* y x)
x

Outputs
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(* (- x z) y)
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- x z)
(-.f64 x z)
x
z
y
(+ (* (- 0 z) y) (* y x))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
y
(* y x)
(fma.f64 y x #s(literal 0 binary64))
x

localize30.0ms (0.3%)

Memory

-4.5MiB live, 74.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	98.8%	(fma.f64 (-.f64 #s(literal 0 binary64) z) y (*.f64 y x))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 (-.f64 x z) y)
✓	accuracy	100.0%	(*.f64 y x)

Samples

19.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (55.9% of total)

ival-sub: 2.0ms (22.4% of total)

ival-add: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (* y x)>
#<alt (- x z)>
#<alt (* (- x z) y)>
#<alt (+ (* (- 0 z) y) (* y x))>
#<alt (- 0 z)>

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

Calls

33 calls:

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

rewrite341.0ms (3.5%)

Memory

-4.7MiB live, 469.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 302×	`accelerator-lowering-fma.f32`
4 302×	`accelerator-lowering-fma.f64`
3 156×	`-lowering-.f32`
3 156×	`-lowering-.f64`
1 618×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	53	18
2	453	18
3	5728	17
0	8824	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 450

Calls

Call 1

Inputs
(* y x)
(- x z)
(* (- x z) y)
(+ (* (- 0 z) y) (* y x))
(- 0 z)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(+.f64 x z)
(+.f64 z x)
(+.f64 #s(literal 0 binary64) (+.f64 x z))
(+.f64 (+.f64 x z) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (neg.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 x z))))
(+.f64 (-.f64 x #s(literal 0 binary64)) z)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z))) #s(literal -1 binary64)))
(-.f64 x z)
(-.f64 #s(literal 0 binary64) (-.f64 z x))
(-.f64 (+.f64 x z) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64)))) (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 x z)))
(-.f64 (-.f64 x #s(literal 0 binary64)) z)
(fma.f64 x (/.f64 x (+.f64 x z)) (neg.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 x z))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64))))))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 z #s(literal -1 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 z (+.f64 x z) #s(literal 0 binary64))))))
(fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) x)
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z
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simplify198.0ms (2%)

Memory

7.9MiB live, 365.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 496×	`accelerator-lowering-fma.f32`
2 496×	`accelerator-lowering-fma.f64`
2 138×	`div-sub`
1 728×	`-lowering-.f32`
1 728×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	681
1	159	501
2	418	501
3	1128	501
4	2655	501
5	3658	501
6	4358	501
7	4971	501
8	5239	501
9	5338	501
10	6857	501
0	8033	501

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)

eval67.0ms (0.7%)

Memory: -6.8MiB live, 139.4MiB allocated
Compiler: Compiled 13 495 to 784 computations (94.2% saved)

prune90.0ms (0.9%)

Memory

-31.2MiB live, 89.5MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	609	1	610
Fresh	0	0	0
Picked	1	2	3
Done	1	0	1
Total	611	3	614

Accuracy

100.0%

Counts

614 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (neg.f64 z) y (*.f64 y x))
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	59.8%	(*.f64 y x)

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify16.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	-64	(neg.f64 z)
✓	cost-diff	384	(fma.f64 (neg.f64 z) y (*.f64 y x))

Rules

256×	`accelerator-lowering-fma.f32`
256×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	16	14
2	31	13
3	57	13
4	83	13
5	129	13
6	208	13
7	282	13
8	409	13
9	419	13
0	419	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (* (neg z) y) (* y x))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(neg z)
(-.f64 #s(literal 0 binary64) z)
z
y
(* y x)
(fma.f64 y x #s(literal 0 binary64))
x

localize22.0ms (0.2%)

Memory

-3.5MiB live, 34.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	98.8%	(fma.f64 (neg.f64 z) y (*.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 17 to 9 computations (47.1% saved)

Precisions

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

ival-mult: 4.0ms (48.6% of total)

ival-neg: 3.0ms (36.4% of total)

ival-add: 1.0ms (12.1% of total)

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

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

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite466.0ms (4.8%)

Memory

-4.4MiB live, 698.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 634×	`accelerator-lowering-fma.f32`
11 634×	`accelerator-lowering-fma.f64`
4 932×	`-lowering-.f32`
4 932×	`-lowering-.f64`
3 578×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	29	11
2	219	10
3	2497	10
0	8972	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 212

Calls

Call 1

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

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

simplify253.0ms (2.6%)

Memory

17.4MiB live, 337.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 900×	`accelerator-lowering-fma.f32`
4 900×	`accelerator-lowering-fma.f64`
3 692×	`-lowering-.f32`
3 692×	`-lowering-.f64`
2 168×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	357
1	106	267
2	277	267
3	635	267
4	1712	267
5	4012	267
6	4949	267
7	5406	267
8	5695	267
9	5806	267
10	5963	267
11	7912	267
0	8097	267

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval33.0ms (0.3%)

Memory: 5.0MiB live, 78.1MiB allocated
Compiler: Compiled 9 141 to 639 computations (93% saved)

prune35.0ms (0.4%)

Memory

-1.7MiB live, 80.0MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	284	3	287

Accuracy

100.0%

Counts

287 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 (neg.f64 z) y (*.f64 y x))
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	59.8%	(*.f64 y x)

Compiler

Compiled 91 to 36 computations (60.4% saved)

regimes16.0ms (0.2%)

Memory

-5.5MiB live, 33.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(fma.f64 x y #s(literal 0 binary64))
(*.f64 (-.f64 x z) y)
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(-.f64 (.f64 y x) (.f64 y z))
(fma.f64 (neg.f64 z) y (*.f64 y x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) y (*.f64 y x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) y (fma.f64 x y #s(literal 0 binary64)))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

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

Calls

4 calls:

6.0ms	y
3.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
3.0ms	z
3.0ms	x

Results

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

Compiler

Compiled 30 to 18 computations (40% saved)

regimes6.0ms (0.1%)

Memory

17.5MiB live, 17.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(fma.f64 x y #s(literal 0 binary64))

Outputs
(*.f64 y x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.8%	1	`x`
59.8%	1	`y`
59.8%	1	`z`
59.8%	1	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`

Compiler

Compiled 30 to 18 computations (40% saved)

simplify10.0ms (0.1%)

Memory

-23.2MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8
2	15	8
3	17	8
4	18	8

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness847.0ms (8.7%)

Memory

6.1MiB live, 320.3MiB allocated

Rules

16 524×	`accelerator-lowering-fma.f32`
16 524×	`accelerator-lowering-fma.f64`
8 298×	`accelerator-lowering-fma.f32`
8 298×	`accelerator-lowering-fma.f64`
5 278×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	111	29
2	1089	29
0	8860	29
0	48	522
1	151	426
2	377	426
3	1157	426
4	3328	426
5	5389	426
6	6415	426
7	7420	426
8	7587	426
9	7711	426
10	7808	426
0	8624	426
0	9	36
1	64	24
2	655	18
0	9251	18

Stop Event

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess74.0ms (0.8%)

Memory: 8.8MiB live, 136.7MiB allocated
Remove: (negabs y)
Compiler: Compiled 106 to 60 computations (43.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	46
1	36	46
2	61	46
3	83	46
4	116	46
5	170	46
6	235	46
7	336	46
8	383	46
9	385	46
0	385	46

Iter	Nodes	Cost
0	10	30
1	18	30
2	35	30
3	64	30
4	84	30
5	126	30
6	180	30
7	260	30
8	381	30
9	447	30
10	457	30
0	457	30

Iter	Nodes	Cost
0	7	16
1	16	14
2	31	13
3	57	13
4	83	13
5	129	13
6	208	13
7	282	13
8	409	13
9	419	13
0	419	13

Iter	Nodes	Cost
0	15	46
1	36	46
2	61	46
3	83	46
4	116	46
5	170	46
6	235	46
7	336	46
8	383	46
9	385	46
0	385	46

Iter	Nodes	Cost
0	10	30
1	18	30
2	35	30
3	64	30
4	84	30
5	126	30
6	180	30
7	260	30
8	381	30
9	447	30
10	457	30
0	457	30

Iter	Nodes	Cost
0	7	16
1	16	14
2	31	13
3	57	13
4	83	13
5	129	13
6	208	13
7	282	13
8	409	13
9	419	13
0	419	13

analyze0.0ms (0%)

sample1.1s (11%)

preprocess1.4s (14.1%)

explain245.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.1s (11.5%)

localize66.0ms (0.7%)

series7.0ms (0.1%)

rewrite1.2s (12%)

simplify338.0ms (3.5%)

eval265.0ms (2.7%)

prune158.0ms (1.6%)

simplify20.0ms (0.2%)

localize45.0ms (0.5%)

series9.0ms (0.1%)

rewrite458.0ms (4.7%)

simplify258.0ms (2.6%)

eval456.0ms (4.7%)

prune163.0ms (1.7%)

simplify19.0ms (0.2%)

localize30.0ms (0.3%)

series2.0ms (0%)

rewrite341.0ms (3.5%)

simplify198.0ms (2%)

eval67.0ms (0.7%)

prune90.0ms (0.9%)

simplify16.0ms (0.2%)

localize22.0ms (0.2%)

series1.0ms (0%)

rewrite466.0ms (4.8%)

simplify253.0ms (2.6%)

eval33.0ms (0.3%)

prune35.0ms (0.4%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

simplify10.0ms (0.1%)

soundness847.0ms (8.7%)

preprocess74.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	46
1	36	46
2	61	46
3	83	46
4	116	46
5	170	46
6	235	46
7	336	46
8	383	46
9	385	46
0	385	46

Iter	Nodes	Cost
0	10	30
1	18	30
2	35	30
3	64	30
4	84	30
5	126	30
6	180	30
7	260	30
8	381	30
9	447	30
10	457	30
0	457	30

Iter	Nodes	Cost
0	7	16
1	16	14
2	31	13
3	57	13
4	83	13
5	129	13
6	208	13
7	282	13
8	409	13
9	419	13
0	419	13