Metrics for Examples.Basics.BasicTests:f2 from sbv-4.4

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 9 to 7 computations (22.2% saved)

sample669.0ms (6.6%)

Memory

34.8MiB live, 743.2MiB allocated

Samples

492.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 200.0ms (75.9% of total)

ival-sub: 55.0ms (20.9% of total)

ival-true: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess1.0s (10.3%)

Memory

-0.6MiB live, 957.7MiB allocated

Algorithm

2×	egg-herbie

Rules

24 584×	`accelerator-lowering-fma.f32`
24 584×	`accelerator-lowering-fma.f64`
5 200×	`+-lowering-+.f64`
5 200×	`+-lowering-+.f32`
3 904×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	54	42
2	151	42
3	383	42
4	882	42
5	1235	42
6	1761	42
7	2347	42
8	4143	42
9	4751	42
10	4864	42
11	4978	42
12	5058	42
13	5058	42
14	6439	42
15	7415	42
16	7899	42
17	7915	42
18	7915	42
0	5	7
1	13	7
2	24	7
3	50	7
4	113	7
5	316	7
6	587	7
7	1255	7
8	2543	7
9	4209	7
10	5079	7
11	5448	7
12	5678	7
13	5792	7
14	5792	7
15	6752	7
16	6912	7
17	7232	7
18	7232	7
19	7632	7
20	7792	7
21	7872	7
22	7872	7
23	7872	7
0	10335	7

Stop Event

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

Calls

Call 1

Inputs
(- (* x x) (* y y))

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

Call 2

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

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

Symmetry

(abs x)

(abs y)

explain66.0ms (0.7%)

Memory

-29.9MiB live, 116.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(-.f64 (.f64 x x) (.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 y y))`	nan-rescue	17	0
↳	`(*.f64 x x)`	overflow	70
↳	`(*.f64 y y)`	overflow	65

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-mult: 7.0ms (72.3% of total)

ival-sub: 2.0ms (20.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify1.4s (14.3%)

Memory

3.0MiB live, 629.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	192	(-.f64 (.f64 x x) (.f64 y y))

Rules

24 584×	`accelerator-lowering-fma.f32`
24 584×	`accelerator-lowering-fma.f64`
5 200×	`+-lowering-+.f64`
5 200×	`+-lowering-+.f32`
3 904×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	13	15
2	24	15
3	50	15
4	113	15
5	316	15
6	587	15
7	1255	15
8	2543	15
9	4209	15
10	5079	15
11	5448	15
12	5678	15
13	5792	15
14	5792	15
15	6752	15
16	6912	15
17	7232	15
18	7232	15
19	7632	15
20	7792	15
21	7872	15
22	7872	15
23	7872	15
0	10335	15

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* x x) (* y y))
(* x x)
x
(* y y)
y

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

localize18.0ms (0.2%)

Memory

-5.7MiB live, 32.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	94.1%	(-.f64 (.f64 x x) (.f64 y y))

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (64.1% of total)

ival-sub: 1.0ms (21.4% of total)

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

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

series2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite507.0ms (5%)

Memory

-1.8MiB live, 866.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 026×	`accelerator-lowering-fma.f32`
8 026×	`accelerator-lowering-fma.f64`
4 450×	`/-lowering-/.f32`
4 450×	`/-lowering-/.f64`
3 184×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	29	13
2	213	13
3	1966	13
0	8786	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 252

Calls

Call 1

Inputs
(- (* x x) (* y y))
(* x x)
(* y y)

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

simplify343.0ms (3.4%)

Memory

21.0MiB live, 611.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 540×	`accelerator-lowering-fma.f32`
12 540×	`accelerator-lowering-fma.f64`
3 658×	`-lowering-.f32`
3 658×	`-lowering-.f64`
1 136×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	39	219
2	113	219
3	468	219
4	1684	219
5	2832	219
6	4991	219
0	8406	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval71.0ms (0.7%)

Memory: 26.9MiB live, 64.5MiB allocated
Compiler: Compiled 16 299 to 752 computations (95.4% saved)

prune41.0ms (0.4%)

Memory

0.4MiB live, 78.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	297	4	301

Accuracy

100.0%

Counts

301 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x))
▶	56.5%	(fma.f64 x x #s(literal 0 binary64))
▶	48.6%	(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
▶	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 33 to 20 computations (39.4% saved)

simplify1.7s (17.1%)

Memory

-151.7MiB live, 1 992.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

58 480×	`accelerator-lowering-fma.f32`
58 480×	`accelerator-lowering-fma.f64`
7 684×	`+-lowering-+.f64`
7 684×	`+-lowering-+.f32`
6 192×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	35	44
2	73	44
3	169	44
4	335	44
5	706	44
6	1711	44
7	2850	44
8	3853	44
9	4321	44
10	4534	44
11	4653	44
12	4663	44
13	5815	44
14	6007	44
15	6199	44
16	6295	44
17	6295	44
18	6679	44
19	6775	44
20	6871	44
21	6871	44
22	6871	44
23	6871	44
0	11018	44

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize51.0ms (0.5%)

Memory

-13.3MiB live, 98.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	97.3%	(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 y y #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))

Samples

31.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 11.0ms (52.4% of total)

ival-mult: 6.0ms (28.6% of total)

ival-sub: 4.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

9 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite589.0ms (5.8%)

Memory

2.3MiB live, 637.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 974×	`accelerator-lowering-fma.f32`
5 974×	`accelerator-lowering-fma.f64`
2 652×	`/-lowering-/.f32`
2 652×	`/-lowering-/.f64`
2 176×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	106	36
2	1096	33
0	9741	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 1 394

Calls

Call 1

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

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

simplify671.0ms (6.6%)

Memory

-24.4MiB live, 726.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 540×	`accelerator-lowering-fma.f32`
15 540×	`accelerator-lowering-fma.f64`
2 570×	`--lowering--.f32`
2 570×	`--lowering--.f64`
2 510×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	726
1	279	576
2	828	576
3	3579	576
0	8771	576

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval190.0ms (1.9%)

Memory: 29.0MiB live, 473.8MiB allocated
Compiler: Compiled 45 458 to 1 903 computations (95.8% saved)

prune263.0ms (2.6%)

Memory

-26.8MiB live, 355.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 547	3	1 550
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	1 550	4	1 554

Accuracy

100.0%

Counts

1 554 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (neg.f64 y) y (*.f64 x x))
▶	48.6%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
▶	56.5%	(*.f64 x x)

Compiler

Compiled 30 to 18 computations (40% saved)

simplify493.0ms (4.9%)

Memory

21.2MiB live, 686.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

16 176×	`accelerator-lowering-fma.f32`
16 176×	`accelerator-lowering-fma.f64`
2 952×	`--lowering--.f32`
2 952×	`--lowering--.f64`
2 460×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	17	27
2	30	27
3	56	27
4	88	27
5	177	27
6	575	27
7	1014	27
8	1773	27
9	2691	27
10	3494	27
11	3960	27
12	4065	27
13	4111	27
14	4129	27
15	6391	27
16	7096	27
17	7740	27
0	8011	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize29.0ms (0.3%)

Memory

28.1MiB live, 64.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	97.3%	(fma.f64 (neg.f64 y) y (*.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)

Samples

18.0ms

256×

valid

Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions

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

ival-mult: 6.0ms (57.9% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

ival-neg: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

5 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite214.0ms (2.1%)

Memory

-36.2MiB live, 391.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 428×	`accelerator-lowering-fma.f32`
2 428×	`accelerator-lowering-fma.f64`
1 842×	`-lowering-.f32`
1 842×	`-lowering-.f64`
1 366×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	45	20
2	414	17
3	6645	17
0	8199	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 290

Calls

Call 1

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

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

simplify367.0ms (3.6%)

Memory

-23.7MiB live, 452.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 736×	`accelerator-lowering-fma.f32`
9 736×	`accelerator-lowering-fma.f64`
3 598×	`-lowering-.f32`
3 598×	`-lowering-.f64`
1 100×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	309
1	40	291
2	107	291
3	437	291
4	1643	291
5	2768	291
6	4760	291
0	8211	291

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval64.0ms (0.6%)

Memory: 16.8MiB live, 54.0MiB allocated
Compiler: Compiled 9 186 to 496 computations (94.6% saved)

prune117.0ms (1.2%)

Memory

18.8MiB live, 57.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	389	4	393

Accuracy

100.0%

Counts

393 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (neg.f64 y) y (*.f64 x x))
✓	48.6%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	56.5%	(*.f64 x x)

Compiler

Compiled 79 to 35 computations (55.7% saved)

regimes182.0ms (1.8%)

Memory

-38.5MiB live, 15.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

170.0ms	(-.f64 (.f64 x x) (.f64 y y))
3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 25 to 15 computations (40% saved)

regimes10.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
75.0%	2	`x`
80.3%	2	`y`
96.5%	2	`(-.f64 (.f64 x x) (.f64 y y))`
75.0%	2	`(*.f64 x x)`
80.3%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x x)

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(-.f64 (.f64 x x) (.f64 y y))
1.0ms	(*.f64 x x)
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
56.5%	1	`x`
56.5%	1	`(*.f64 x x)`
56.5%	1	`y`
56.5%	1	`(*.f64 y y)`
56.5%	1	`(-.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.111887689297518e-300	0.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
4×	`cancel-sign-sub-inv_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	24	27
2	32	27
3	35	27
4	36	27

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (-.f64 x y) (+.f64 x y))

(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x))

(*.f64 x x)

Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (-.f64 (.f64 x x) (.f64 y y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 x x))
(if (<=.f64 (-.f64 (.f64 x x) (.f64 y y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (.f64 y (-.f64 #s(literal 0 binary64) y)) (.f64 x x))
(*.f64 x x)

soundness887.0ms (8.8%)

Memory

-12.0MiB live, 378.3MiB allocated

Rules

12 540×	`accelerator-lowering-fma.f32`
12 540×	`accelerator-lowering-fma.f64`
8 026×	`accelerator-lowering-fma.f32`
8 026×	`accelerator-lowering-fma.f64`
5 974×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	39	219
2	113	219
3	468	219
4	1684	219
5	2832	219
6	4991	219
0	8406	219
0	5	13
1	29	13
2	213	13
3	1966	13
0	8786	13
0	14	36
1	106	36
2	1096	33
0	9741	31

Stop Event

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

Compiler

Compiled 76 to 43 computations (43.4% saved)

preprocess32.0ms (0.3%)

Memory

30.4MiB live, 109.3MiB allocated

Remove

(abs y)

(abs x)

Compiler

Compiled 114 to 58 computations (49.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample669.0ms (6.6%)

preprocess1.0s (10.3%)

explain66.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.4s (14.3%)

localize18.0ms (0.2%)

series2.0ms (0%)

rewrite507.0ms (5%)

simplify343.0ms (3.4%)

eval71.0ms (0.7%)

prune41.0ms (0.4%)

simplify1.7s (17.1%)

localize51.0ms (0.5%)

series5.0ms (0%)

rewrite589.0ms (5.8%)

simplify671.0ms (6.6%)

eval190.0ms (1.9%)

prune263.0ms (2.6%)

simplify493.0ms (4.9%)

localize29.0ms (0.3%)

series1.0ms (0%)

rewrite214.0ms (2.1%)

simplify367.0ms (3.6%)

eval64.0ms (0.6%)

prune117.0ms (1.2%)

regimes182.0ms (1.8%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness887.0ms (8.8%)

preprocess32.0ms (0.3%)

end0.0ms (0%)

Profiling