Metrics for Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

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 11 to 10 computations (9.1% saved)

sample1.9s (22.7%)

Memory

14.0MiB live, 1 199.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 453.0ms

ival-mult: 211.0ms (46.5% of total)

ival-sub: 194.0ms (42.8% of total)

ival-add: 36.0ms (7.9% of total)

ival-true: 5.0ms (1.1% of total)

exact: 4.0ms (0.9% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess139.0ms (1.6%)

Memory

16.3MiB live, 95.6MiB allocated

Algorithm

2×	egg-herbie

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
392×	`distribute-rgt-in`
374×	`unsub-neg`
308×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	82	90
2	189	90
3	553	75
4	1184	71
5	1976	70
6	2346	70
7	2386	70
8	2390	70
9	2390	70
0	8	9
1	15	9
2	25	9
3	48	9
4	103	8
5	151	7
6	242	7
7	394	7
8	554	7
9	627	7
10	629	7
0	629	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(+ (* (- 1 x) y) (* x z))
(fma.f64 x (-.f64 z y) y)

Call 2

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

Outputs
(+ (* (- 1 x) y) (* x z))
(+ y (* x (- z y)))
(+ (* (- 1 (neg x)) y) (* (neg x) z))
(+ y (* x (- y z)))
(+ (* (- 1 x) (neg y)) (* x z))
(- (* x (+ y z)) y)
(+ (* (- 1 x) y) (* x (neg z)))
(- y (* x (+ y z)))
(neg (+ (* (- 1 (neg x)) y) (* (neg x) z)))
(- (* x (- z y)) y)
(neg (+ (* (- 1 x) (neg y)) (* x z)))
(- y (* x (+ y z)))
(neg (+ (* (- 1 x) y) (* x (neg z))))
(- (* x (+ y z)) y)
(+ (* (- 1 y) x) (* y z))
(+ x (* y (- z x)))
(+ (* (- 1 z) y) (* z x))
(+ y (* z (- x y)))
(+ (* (- 1 x) z) (* x y))
(+ z (* x (- y z)))

explain113.0ms (1.3%)

Memory

-16.3MiB live, 155.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
0	-	-	`y`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`	nan-rescue	6	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	34
↳	`(*.f64 x z)`	overflow	25

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-mult: 9.0ms (60.3% of total)

ival-sub: 3.0ms (20.1% of total)

ival-add: 2.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

ival-assert: 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify52.0ms (0.6%)

Memory

9.0MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x z)
✓	cost-diff	-64	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	576	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	627	22
10	629	22
0	629	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize60.0ms (0.7%)

Memory

3.0MiB live, 42.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	97.9%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Samples

52.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 41.0ms (93.7% of total)

ival-sub: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.5%)

Memory

-27.9MiB live, 11.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
36.0ms	z	@	-inf	(+ (* (- 1 x) y) (* x z))
1.0ms	x	@	inf	(+ (* (- 1 x) y) (* x z))
1.0ms	y	@	0	(* (- 1 x) y)
1.0ms	y	@	0	(+ (* (- 1 x) y) (* x z))
0.0ms	x	@	0	(+ (* (- 1 x) y) (* x z))

rewrite913.0ms (10.7%)

Memory

19.7MiB live, 1 023.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 442×	`accelerator-lowering-fma.f32`
9 442×	`accelerator-lowering-fma.f64`
7 738×	`-lowering-.f32`
7 738×	`-lowering-.f64`
4 066×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	40	20
2	309	20
3	3723	20
0	12496	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 284

Calls

Call 1

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

Outputs
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))
(+.f64 (.f64 x z) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 x z y) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z (.f64 y (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (.f64 y (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 #s(literal 1 binary64) z) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 z #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (exp.f64 (log.f64 z)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (*.f64 x z))
(fma.f64 y (/.f64 (.f64 y (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 z x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 x z) #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y) (*.f64 x z))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 x z))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) (.f64 x z))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (+.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 y y) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 y (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x z))
(fma.f64 (.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 x z))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 y y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 z #s(literal 1 binary64)) x (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 x z (.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x z (.f64 y (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 z (.f64 x (.f64 z (.f64 x z))))))) (fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x z) (fma.f64 x z (.f64 y (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (.f64 x (.f64 z (.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(+.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) y)
(exp.f64 (log.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) y)
(fma.f64 (-.f64 #s(literal 0 binary64) x) y y)
(fma.f64 #s(literal -1 binary64) (*.f64 x y) y)
(fma.f64 (*.f64 y #s(literal -1 binary64)) x y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x y) (.f64 x y))) (-.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) y) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (exp.f64 (log.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (fma.f64 x x x))))
(/.f64 (exp.f64 (log.f64 (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 x)))
(pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(.f64 (.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(.f64 (.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x z))
(*.f64 x z)
(.f64 x (.f64 #s(literal 1 binary64) z))
(*.f64 x (pow.f64 z #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 z)))
(*.f64 z x)
(.f64 (.f64 x z) #s(literal 1 binary64))
(.f64 (.f64 z #s(literal 1 binary64)) x)
(*.f64 (pow.f64 z #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 z)) x)

simplify309.0ms (3.6%)

Memory

-1.4MiB live, 523.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`accelerator-lowering-fma.f32`
7 472×	`accelerator-lowering-fma.f64`
2 438×	`-lowering-.f32`
2 438×	`-lowering-.f64`
1 490×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	471
1	192	442
2	558	442
3	1391	442
4	3878	442
5	6295	442
0	8006	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval49.0ms (0.6%)

Memory: -10.7MiB live, 148.7MiB allocated
Compiler: Compiled 10 111 to 907 computations (91% saved)

prune42.0ms (0.5%)

Memory

20.7MiB live, 138.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	376	4	380
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	5	381

Accuracy

100.0%

Counts

381 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 z y) y)
▶	39.5%	(fma.f64 x z #s(literal 0 binary64))
✓	97.6%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
▶	74.3%	(+.f64 y (*.f64 x z))
▶	37.1%	y

Compiler

Compiled 40 to 26 computations (35% saved)

simplify32.0ms (0.4%)

Memory

-1.7MiB live, 80.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(fma.f64 x (-.f64 z y) y)
✓	cost-diff	0	(fma.f64 x z #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x z)
✓	cost-diff	192	(+.f64 y (*.f64 x z))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	290	31
7	428	31
8	637	31
9	719	31
10	739	31
0	739	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.4%)

Memory

-26.0MiB live, 93.5MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 33 to 12 computations (63.6% saved)

Precisions

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

ival-mult: 4.0ms (46.9% of total)

ival-add: 3.0ms (35.1% of total)

ival-sub: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite406.0ms (4.8%)

Memory

6.0MiB live, 997.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 724×	`accelerator-lowering-fma.f32`
9 724×	`accelerator-lowering-fma.f64`
4 612×	`-lowering-.f32`
4 612×	`-lowering-.f64`
3 516×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	60	21
2	579	21
0	8137	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 932

Calls

Call 1

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

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

simplify277.0ms (3.3%)

Memory

26.6MiB live, 489.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 756×	`accelerator-lowering-fma.f32`
7 756×	`accelerator-lowering-fma.f64`
2 716×	`-lowering-.f32`
2 716×	`-lowering-.f64`
1 830×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	588
1	264	585
2	744	585
3	2018	585
4	4202	585
5	5857	585
6	7196	585
0	8022	531

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval145.0ms (1.7%)

Memory: 40.3MiB live, 327.6MiB allocated
Compiler: Compiled 26 558 to 1 530 computations (94.2% saved)

prune396.0ms (4.6%)

Memory

-137.7MiB live, 383.4MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 073	3	1 076
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	1 076	5	1 081

Accuracy

100.0%

Counts

1 081 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 z x (fma.f64 x (-.f64 #s(literal 0 binary64) y) y))
▶	74.3%	(fma.f64 z x y)
✓	100.0%	(fma.f64 x (-.f64 z y) y)
▶	39.5%	(*.f64 z x)
✓	37.1%	y

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify44.0ms (0.5%)

Memory

-20.6MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	20	33
2	39	31
3	80	31
4	128	31
5	210	31
6	357	31
7	501	31
8	676	31
9	697	31
0	697	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (0.3%)

Memory

30.8MiB live, 69.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (-.f64 #s(literal 0 binary64) y) y)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	98.4%	(fma.f64 z x (fma.f64 x (-.f64 #s(literal 0 binary64) y) y))
✓	accuracy	100.0%	(fma.f64 z x y)
✓	accuracy	100.0%	(*.f64 z 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: 8.0ms

ival-mult: 4.0ms (47.9% of total)

ival-add: 3.0ms (35.9% of total)

ival-sub: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-27.8MiB live, 11.3MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(+ (* z x) (+ (* x (- 0 y)) y))
0.0ms	x	@	0	(+ (* z x) (+ (* x (- 0 y)) y))
0.0ms	y	@	inf	(+ (* x (- 0 y)) y)
0.0ms	y	@	0	(+ (* x (- 0 y)) y)
0.0ms	y	@	0	(+ (* z x) (+ (* x (- 0 y)) y))

rewrite405.0ms (4.7%)

Memory

32.1MiB live, 905.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 080×	`accelerator-lowering-fma.f32`
10 080×	`accelerator-lowering-fma.f64`
5 358×	`-lowering-.f32`
5 358×	`-lowering-.f64`
3 918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	63	24
2	597	22
0	8888	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 368

Calls

Call 1

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

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

simplify241.0ms (2.8%)

Memory

-36.5MiB live, 474.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 172×	`accelerator-lowering-fma.f32`
7 172×	`accelerator-lowering-fma.f64`
2 682×	`-lowering-.f32`
2 682×	`-lowering-.f64`
1 558×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	695
1	254	588
2	672	588
3	1648	588
4	4078	588
5	6212	588
6	7976	588
0	8351	534

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval89.0ms (1%)

Memory: 8.6MiB live, 82.2MiB allocated
Compiler: Compiled 12 733 to 1 030 computations (91.9% saved)

prune94.0ms (1.1%)

Memory

-1.5MiB live, 77.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	499	1	500
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	500	5	505

Accuracy

100.0%

Counts

505 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (neg.f64 x) y (fma.f64 z x y))
✓	74.3%	(fma.f64 z x y)
✓	100.0%	(fma.f64 x (-.f64 z y) y)
✓	39.5%	(*.f64 z x)
✓	37.1%	y

Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify65.0ms (0.8%)

Memory

-8.5MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(fma.f64 z x y)
✓	cost-diff	384	(fma.f64 (neg.f64 x) y (fma.f64 z x y))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	20	19
2	38	18
3	77	17
4	127	17
5	239	17
6	433	17
7	596	17
8	630	17
9	632	17
0	632	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z x y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.2%	(fma.f64 (neg.f64 x) y (fma.f64 z x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

ival-mult: 3.0ms (42% of total)

ival-add: 2.0ms (28% of total)

ival-neg: 1.0ms (14% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.7MiB allocated

Counts

3 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite499.0ms (5.8%)

Memory

8.0MiB live, 479.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 988×	`accelerator-lowering-fma.f32`
7 988×	`accelerator-lowering-fma.f64`
4 738×	`-lowering-.f32`
4 738×	`-lowering-.f64`
2 598×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	45	16
2	398	15
3	6269	15
0	8123	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 216

Calls

Call 1

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

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

simplify618.0ms (7.2%)

Memory

-45.5MiB live, 366.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 206×	`accelerator-lowering-fma.f32`
7 206×	`accelerator-lowering-fma.f64`
2 734×	`-lowering-.f32`
2 734×	`-lowering-.f64`
1 082×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	434
1	242	402
2	638	402
3	1649	402
4	4157	402
5	6282	402
0	8039	348

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval35.0ms (0.4%)

Memory: 16.7MiB live, 54.2MiB allocated
Compiler: Compiled 8 997 to 632 computations (93% saved)

prune33.0ms (0.4%)

Memory

4.5MiB live, 81.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	299	1	300
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	299	6	305

Accuracy

100.0%

Counts

305 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 x) y (fma.f64 z x y))
	64.0%	(fma.f64 (neg.f64 x) y y)
✓	74.3%	(fma.f64 z x y)
✓	100.0%	(fma.f64 x (-.f64 z y) y)
✓	39.5%	(*.f64 z x)
✓	37.1%	y

Compiler

Compiled 102 to 48 computations (52.9% saved)

regimes17.0ms (0.2%)

Memory

-9.2MiB live, 34.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
4.0ms	z
4.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs
(fma.f64 (neg.f64 x) y y)
(fma.f64 z x y)
(fma.f64 (neg.f64 x) y y)

Calls

4 calls:

3.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Results

Accuracy	Segments	Branch
81.9%	2	`x`
88.1%	3	`y`
86.1%	3	`z`
78.6%	2	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-16.8MiB live, 22.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 z x y)

Calls

4 calls:

3.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Results

Accuracy	Segments	Branch
74.3%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
74.3%	1	`x`
74.3%	1	`z`
74.3%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
63.9%	3	`x`
56.9%	3	`y`
54.8%	3	`z`
47.6%	3	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

-25.2MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

4 calls:

2.0ms	x
1.0ms	y
1.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
1.0ms	z

Results

Accuracy	Segments	Branch
37.1%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
37.1%	1	`z`
37.1%	1	`y`
37.1%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch27.0ms (0.3%)

Memory

9.1MiB live, 48.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	61705175.10890614	507569284163212300.0
11.0ms	-5.290330022861897e-69	-1.2112211193748492e-75

Samples

15.0ms

304×

valid

Compiler

Compiled 338 to 223 computations (34% saved)

Precisions

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

ival-mult: 4.0ms (54.2% of total)

ival-sub: 2.0ms (27.1% of total)

ival-add: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

5.8MiB live, 46.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.111485132448903e-64	4.436977711569586e-57
13.0ms	-9.210918873601346e-30	-5.420176804795649e-38

Samples

15.0ms

288×

valid

Compiler

Compiled 231 to 176 computations (23.8% saved)

Precisions

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

ival-mult: 5.0ms (59.1% of total)

ival-sub: 2.0ms (23.7% of total)

ival-add: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

-21.3MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	42
1	34	42
2	39	42
3	42	42
4	43	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 z y) y)
(if (<=.f64 y #s(literal -315683694986681/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 (neg.f64 x) y y) (if (<=.f64 y #s(literal 75000000000 binary64)) (fma.f64 z x y) (fma.f64 (neg.f64 x) y y)))
(fma.f64 z x y)
(if (<=.f64 x #s(literal -6850788924988607/2854495385411919762116571938898990272765493248 binary64)) (.f64 z x) (if (<=.f64 x #s(literal 6219301668019913/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) y (.f64 z x)))
y

Outputs
(fma.f64 x (-.f64 z y) y)
(if (<=.f64 y #s(literal -315683694986681/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 (neg.f64 x) y y) (if (<=.f64 y #s(literal 75000000000 binary64)) (fma.f64 z x y) (fma.f64 (neg.f64 x) y y)))
(if (<=.f64 y #s(literal -315683694986681/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) y y) (if (<=.f64 y #s(literal 75000000000 binary64)) (fma.f64 z x y) (fma.f64 (-.f64 #s(literal 0 binary64) x) y y)))
(fma.f64 z x y)
(if (<=.f64 x #s(literal -6850788924988607/2854495385411919762116571938898990272765493248 binary64)) (.f64 z x) (if (<=.f64 x #s(literal 6219301668019913/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) y (.f64 z x)))
(if (<=.f64 x #s(literal -6850788924988607/2854495385411919762116571938898990272765493248 binary64)) (.f64 x z) (if (<=.f64 x #s(literal 6219301668019913/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) y (.f64 x z)))
y

soundness1.2s (14.4%)

Memory

25.3MiB live, 537.2MiB allocated

Rules

10 080×	`accelerator-lowering-fma.f32`
10 080×	`accelerator-lowering-fma.f64`
9 724×	`accelerator-lowering-fma.f32`
9 724×	`accelerator-lowering-fma.f64`
7 472×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	434
1	242	402
2	638	402
3	1649	402
4	4157	402
5	6282	402
0	8039	348
0	10	26
1	63	24
2	597	22
0	8888	20
0	10	21
1	60	21
2	579	21
0	8137	19
0	57	471
1	192	442
2	558	442
3	1391	442
4	3878	442
5	6295	442
0	8006	415

Stop Event

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

Compiler

Compiled 141 to 79 computations (44% saved)

preprocess57.0ms (0.7%)

Memory: 14.4MiB live, 132.3MiB allocated
Compiler: Compiled 150 to 72 computations (52% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	627	22
10	629	22
0	629	21

Iter	Nodes	Cost
0	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	290	31
7	428	31
8	637	31
9	719	31
10	739	31
0	739	29

Iter	Nodes	Cost
0	10	35
1	20	33
2	39	31
3	80	31
4	128	31
5	210	31
6	357	31
7	501	31
8	676	31
9	697	31
0	697	29

Iter	Nodes	Cost
0	8	20
1	20	19
2	38	18
3	77	17
4	127	17
5	239	17
6	433	17
7	596	17
8	630	17
9	632	17
0	632	15

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	627	22
10	629	22
0	629	21

Iter	Nodes	Cost
0	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	290	31
7	428	31
8	637	31
9	719	31
10	739	31
0	739	29

Iter	Nodes	Cost
0	10	35
1	20	33
2	39	31
3	80	31
4	128	31
5	210	31
6	357	31
7	501	31
8	676	31
9	697	31
0	697	29

Iter	Nodes	Cost
0	8	20
1	20	19
2	38	18
3	77	17
4	127	17
5	239	17
6	433	17
7	596	17
8	630	17
9	632	17
0	632	15

analyze0.0ms (0%)

sample1.9s (22.7%)

preprocess139.0ms (1.6%)

explain113.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.6%)

localize60.0ms (0.7%)

series41.0ms (0.5%)

rewrite913.0ms (10.7%)

simplify309.0ms (3.6%)

eval49.0ms (0.6%)

prune42.0ms (0.5%)

simplify32.0ms (0.4%)

localize33.0ms (0.4%)

series5.0ms (0.1%)

rewrite406.0ms (4.8%)

simplify277.0ms (3.3%)

eval145.0ms (1.7%)

prune396.0ms (4.6%)

simplify44.0ms (0.5%)

localize30.0ms (0.3%)

series6.0ms (0.1%)

rewrite405.0ms (4.7%)

simplify241.0ms (2.8%)

eval89.0ms (1%)

prune94.0ms (1.1%)

simplify65.0ms (0.8%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite499.0ms (5.8%)

simplify618.0ms (7.2%)

eval35.0ms (0.4%)

prune33.0ms (0.4%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch27.0ms (0.3%)

bsearch26.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.2s (14.4%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	627	22
10	629	22
0	629	21

Iter	Nodes	Cost
0	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	290	31
7	428	31
8	637	31
9	719	31
10	739	31
0	739	29

Iter	Nodes	Cost
0	10	35
1	20	33
2	39	31
3	80	31
4	128	31
5	210	31
6	357	31
7	501	31
8	676	31
9	697	31
0	697	29

Iter	Nodes	Cost
0	8	20
1	20	19
2	38	18
3	77	17
4	127	17
5	239	17
6	433	17
7	596	17
8	630	17
9	632	17
0	632	15