Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample809.0ms (16%)

Memory

14.1MiB live, 1 346.4MiB allocated

Samples

482.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult: 127.0ms (54.4% of total)

ival-sub: 59.0ms (25.3% of total)

ival-add: 35.0ms (15% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess96.0ms (1.9%)

Memory

3.8MiB live, 82.6MiB allocated

Algorithm

2×	egg-herbie

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
418×	`distribute-rgt-in`
384×	`unsub-neg`
340×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	82	92
2	180	90
3	501	73
4	1145	71
5	1978	71
6	2359	71
7	2422	71
8	2430	71
9	2430	71
0	8	9
1	16	9
2	23	9
3	35	7
4	46	7
5	64	7
6	107	7
7	179	7
8	366	7
9	570	7
10	660	7
11	672	7
0	672	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain89.0ms (1.8%)

Memory

-0.4MiB live, 189.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`	nan-rescue	10	0
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	38

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-mult: 8.0ms (36.2% of total)

ival-assert: 6.0ms (27.1% of total)

ival-add: 4.0ms (18.1% of total)

ival-sub: 3.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify39.0ms (0.8%)

Memory

3.7MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	320	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (1%)

Memory

-7.3MiB live, 31.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	accuracy	96.6%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

41.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (50.7% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% 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

11.4MiB live, 11.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite388.0ms (7.7%)

Memory

21.7MiB live, 765.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 732×	`-lowering-.f32`
6 732×	`-lowering-.f64`
4 784×	`accelerator-lowering-fma.f32`
4 784×	`accelerator-lowering-fma.f64`
4 232×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	41	20
2	307	20
3	3870	20
0	10423	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 280

Calls

Call 1

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

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

simplify236.0ms (4.7%)

Memory

-19.9MiB live, 465.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 326×	`accelerator-lowering-fma.f32`
9 326×	`accelerator-lowering-fma.f64`
3 218×	`-lowering-.f32`
3 218×	`-lowering-.f64`
1 186×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	467
1	180	440
2	532	440
3	1344	440
4	4419	440
0	8070	440

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval154.0ms (3.1%)

Memory: -2.5MiB live, 73.8MiB allocated
Compiler: Compiled 9 562 to 996 computations (89.6% saved)

prune46.0ms (0.9%)

Memory

32.9MiB live, 108.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	369	7	376
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	370	7	377

Accuracy

100.0%

Counts

377 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(fma.f64 z x (neg.f64 z))
▶	100.0%	(fma.f64 x (+.f64 z y) (neg.f64 z))
	57.3%	(+.f64 (.f64 x y) (.f64 z x))
	78.5%	(+.f64 (*.f64 x y) (neg.f64 z))
▶	61.2%	(*.f64 x (+.f64 z y))
▶	40.2%	(*.f64 x y)
▶	41.0%	(neg.f64 z)

Compiler

Compiled 112 to 72 computations (35.7% saved)

simplify38.0ms (0.8%)

Memory

-78.9MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 z)
✓	cost-diff	(fma.f64 z x (neg.f64 z))
✓	cost-diff	(+.f64 z y)
✓	cost-diff	(*.f64 x (+.f64 z y))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(neg.f64 z)
✓	cost-diff	(neg.f64 z)
✓	cost-diff	(+.f64 z y)
✓	cost-diff	(fma.f64 x (+.f64 z y) (neg.f64 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	43
1	25	43
2	45	43
3	85	43
4	163	43
5	333	43
6	624	43
7	758	43
8	779	43
0	779	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize82.0ms (1.6%)

Memory

24.5MiB live, 62.2MiB allocated

Localize:

Found 9 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

ival-add: 4.0ms (42.2% of total)

ival-mult: 4.0ms (42.2% of total)

ival-neg: 1.0ms (10.6% of total)

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

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

series68.0ms (1.4%)

Memory

-26.7MiB live, 12.2MiB allocated

Counts

6 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
62.0ms	y	@	0	(+ (* x (+ z y)) (neg z))
1.0ms	z	@	inf	(+ (* z x) (neg z))
0.0ms	x	@	-inf	(+ (* x (+ z y)) (neg z))
0.0ms	y	@	inf	(+ (* x (+ z y)) (neg z))
0.0ms	x	@	0	(+ (* x (+ z y)) (neg z))

rewrite257.0ms (5.1%)

Memory

27.7MiB live, 422.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 220×	`accelerator-lowering-fma.f32`
5 220×	`accelerator-lowering-fma.f64`
3 412×	`-lowering-.f32`
3 412×	`-lowering-.f64`
2 236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	60	25
2	504	24
3	7741	24
0	8072	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 438

Calls

Call 1

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

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

simplify287.0ms (5.7%)

Memory

-20.5MiB live, 302.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 276×	`accelerator-lowering-fma.f32`
7 276×	`accelerator-lowering-fma.f64`
2 382×	`-lowering-.f32`
2 382×	`-lowering-.f64`
1 884×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	662
1	258	662
2	755	662
3	2047	662
4	4157	662
5	5556	662
6	6435	662
7	7233	662
8	7959	662
0	8115	662

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval111.0ms (2.2%)

Memory: 31.1MiB live, 182.6MiB allocated
Compiler: Compiled 13 965 to 1 076 computations (92.3% saved)

prune84.0ms (1.7%)

Memory

-24.9MiB live, 248.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	760	4	764
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	762	9	771

Accuracy

100.0%

Counts

771 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(fma.f64 z x (*.f64 x y))
✓	64.9%	(fma.f64 z x (neg.f64 z))
✓	100.0%	(fma.f64 x (+.f64 z y) (neg.f64 z))
▶	78.5%	(fma.f64 x y (neg.f64 z))
▶	26.4%	(*.f64 z x)
✓	61.2%	(*.f64 x (+.f64 z y))
✓	40.2%	(*.f64 x y)
✓	41.0%	(neg.f64 z)
▶	2.3%	z

Compiler

Compiled 64 to 41 computations (35.9% saved)

simplify25.0ms (0.5%)

Memory

0.4MiB live, 53.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	192	(fma.f64 z x (*.f64 x y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(fma.f64 x y (neg.f64 z))
✓	cost-diff	0	(*.f64 z x)

Rules

320×	`accelerator-lowering-fma.f32`
320×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
90×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	17	27
2	27	27
3	42	27
4	69	27
5	120	27
6	186	27
7	308	27
8	479	27
9	501	27
0	501	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

-9.7MiB live, 63.7MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (61.4% of total)

ival-add: 2.0ms (24.6% of total)

ival-neg: 1.0ms (12.3% of total)

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

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

series3.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

5 → 132

Calls

Call 1

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

Calls

33 calls:

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

rewrite401.0ms (8%)

Memory

26.7MiB live, 615.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 156×	`accelerator-lowering-fma.f32`
7 156×	`accelerator-lowering-fma.f64`
4 920×	`-lowering-.f32`
4 920×	`-lowering-.f64`
2 090×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	40	18
2	339	18
3	3776	17
0	9623	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 338

Calls

Call 1

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

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

simplify199.0ms (3.9%)

Memory

-14.9MiB live, 415.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 494×	`accelerator-lowering-fma.f32`
5 494×	`accelerator-lowering-fma.f64`
3 084×	`-lowering-.f32`
3 084×	`-lowering-.f64`
1 102×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	494
1	178	494
2	508	494
3	1158	494
4	2893	494
5	4343	494
6	6370	494
7	7867	494
0	8025	494

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

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

eval104.0ms (2.1%)

Memory: 15.7MiB live, 123.5MiB allocated
Compiler: Compiled 9 737 to 828 computations (91.5% saved)

prune63.0ms (1.3%)

Memory

11.5MiB live, 150.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	470	0	470
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	470	9	479

Accuracy

100.0%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.0%	(fma.f64 z x (*.f64 x y))
✓	64.9%	(fma.f64 z x (neg.f64 z))
✓	100.0%	(fma.f64 x (+.f64 z y) (neg.f64 z))
✓	78.5%	(fma.f64 x y (neg.f64 z))
✓	26.4%	(*.f64 z x)
✓	61.2%	(*.f64 x (+.f64 z y))
✓	40.2%	(*.f64 x y)
✓	41.0%	(neg.f64 z)
✓	2.3%	z

Compiler

Compiled 126 to 59 computations (53.2% saved)

regimes24.0ms (0.5%)

Memory

-34.7MiB live, 45.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
4.0ms	z
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.3%)

Memory

36.6MiB live, 36.6MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 z y))
(fma.f64 x y (neg.f64 z))
(fma.f64 z x (neg.f64 z))
(+.f64 (*.f64 x y) (neg.f64 z))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.1%	3	`x`
90.3%	3	`y`
89.5%	3	`z`
89.8%	4	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0.1%)

Memory

-30.1MiB live, 7.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.1%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
57.8%	4	`z`
62.7%	3	`y`
73.1%	4	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
71.1%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.7%)

Memory

-21.9MiB live, 16.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

4 calls:

31.0ms	y
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms	x

Results

Accuracy	Segments	Branch
41.0%	1	`z`
41.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
41.0%	1	`y`
41.0%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.3%	1	`z`
2.3%	1	`y`
2.3%	1	`x`
2.3%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch28.0ms (0.6%)

Memory

-5.2MiB live, 33.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0005246497673888051	35767209.736961
7.0ms	-3530.27680915632	-759.5695134698361

Samples

11.0ms

256×

valid

Compiler

Compiled 303 to 206 computations (32% saved)

Precisions

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

ival-mult: 3.0ms (52.7% of total)

ival-sub: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch42.0ms (0.8%)

Memory

15.3MiB live, 52.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.615525792353475e-37	4.073991430112349e-29
10.0ms	-4.4554887351868276e-13	-8.309900943412508e-17

Samples

31.0ms

272×

valid

Compiler

Compiled 270 to 201 computations (25.6% saved)

Precisions

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

ival-mult: 3.0ms (48% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.8%)

Memory

2.8MiB live, 72.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.615525792353475e-37	4.073991430112349e-29
8.0ms	-3530.27680915632	-759.5695134698361
15.0ms	-3.2946982237275927e+143	-1.8803282054526425e+142

Samples

24.0ms

352×

valid

Compiler

Compiled 308 to 234 computations (24% saved)

Precisions

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

ival-mult: 7.0ms (69% of total)

ival-sub: 2.0ms (19.7% of total)

ival-add: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.7%)

Memory

-16.0MiB live, 67.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.615525792353475e-37	4.073991430112349e-29
11.0ms	-4.4554887351868276e-13	-8.309900943412508e-17

Samples

22.0ms

272×

valid

Compiler

Compiled 236 to 184 computations (22% saved)

Precisions

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

ival-mult: 4.0ms (61.9% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	82
1	54	82
2	56	82
3	57	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (+.f64 z y) (neg.f64 z))
(if (<=.f64 x #s(literal -760 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x y (neg.f64 z)) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -713053462628379/79228162514264337593543950336 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 178405961588245/11150372599265311570767859136324180752990208 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -760 binary64)) (.f64 z x) (if (<=.f64 x #s(literal 6779426540353309/178405961588244985132285746181186892047843328 binary64)) (neg.f64 z) (*.f64 x y))))
(if (<=.f64 x #s(literal -735237348132373/5070602400912917605986812821504 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7716728645107167/46768052394588893382517914646921056628989841375232 binary64)) (neg.f64 z) (.f64 x y)))
(neg.f64 z)
z

Outputs
(fma.f64 x (+.f64 z y) (neg.f64 z))
(if (<=.f64 x #s(literal -760 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x y (neg.f64 z)) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -713053462628379/79228162514264337593543950336 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 178405961588245/11150372599265311570767859136324180752990208 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -760 binary64)) (.f64 z x) (if (<=.f64 x #s(literal 6779426540353309/178405961588244985132285746181186892047843328 binary64)) (neg.f64 z) (*.f64 x y))))
(if (<=.f64 x #s(literal -100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -760 binary64)) (.f64 x z) (if (<=.f64 x #s(literal 6779426540353309/178405961588244985132285746181186892047843328 binary64)) (neg.f64 z) (*.f64 x y))))
(if (<=.f64 x #s(literal -735237348132373/5070602400912917605986812821504 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7716728645107167/46768052394588893382517914646921056628989841375232 binary64)) (neg.f64 z) (.f64 x y)))
(neg.f64 z)
z

soundness1.1s (21.5%)

Memory

-27.2MiB live, 542.0MiB allocated

Rules

9 326×	`accelerator-lowering-fma.f32`
9 326×	`accelerator-lowering-fma.f64`
7 276×	`accelerator-lowering-fma.f32`
7 276×	`accelerator-lowering-fma.f64`
5 220×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	60	25
2	504	24
3	7741	24
0	8072	22
0	54	467
1	180	440
2	532	440
3	1344	440
4	4419	440
0	8070	440
0	74	662
1	258	662
2	755	662
3	2047	662
4	4157	662
5	5556	662
6	6435	662
7	7233	662
8	7959	662
0	8115	662

Stop Event

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

Compiler

Compiled 193 to 102 computations (47.2% saved)

preprocess51.0ms (1%)

Memory: 0.2MiB live, 120.7MiB allocated
Compiler: Compiled 214 to 86 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Iter	Nodes	Cost
0	8	29
1	17	27
2	27	27
3	42	27
4	69	27
5	120	27
6	186	27
7	308	27
8	479	27
9	501	27
0	501	27

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Iter	Nodes	Cost
0	8	29
1	17	27
2	27	27
3	42	27
4	69	27
5	120	27
6	186	27
7	308	27
8	479	27
9	501	27
0	501	27

analyze0.0ms (0%)

sample809.0ms (16%)

preprocess96.0ms (1.9%)

explain89.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.8%)

localize48.0ms (1%)

series6.0ms (0.1%)

rewrite388.0ms (7.7%)

simplify236.0ms (4.7%)

eval154.0ms (3.1%)

prune46.0ms (0.9%)

simplify38.0ms (0.8%)

localize82.0ms (1.6%)

series68.0ms (1.4%)

rewrite257.0ms (5.1%)

simplify287.0ms (5.7%)

eval111.0ms (2.2%)

prune84.0ms (1.7%)

simplify25.0ms (0.5%)

localize27.0ms (0.5%)

series3.0ms (0.1%)

rewrite401.0ms (8%)

simplify199.0ms (3.9%)

eval104.0ms (2.1%)

prune63.0ms (1.3%)

regimes24.0ms (0.5%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes36.0ms (0.7%)

regimes6.0ms (0.1%)

bsearch28.0ms (0.6%)

bsearch42.0ms (0.8%)

bsearch38.0ms (0.8%)

bsearch33.0ms (0.7%)

simplify9.0ms (0.2%)

soundness1.1s (21.5%)

preprocess51.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Iter	Nodes	Cost
0	8	29
1	17	27
2	27	27
3	42	27
4	69	27
5	120	27
6	186	27
7	308	27
8	479	27
9	501	27
0	501	27