Metrics for Examples.Basics.BasicTests:f3 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 6 computations (33.3% saved)

sample489.0ms (7.2%)

Memory

32.1MiB live, 869.1MiB allocated

Samples

331.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 77.0ms (53.1% of total)

ival-add: 60.0ms (41.4% of total)

ival-true: 6.0ms (4.1% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

preprocess96.0ms (1.4%)

Memory

-22.2MiB live, 73.4MiB allocated

Algorithm

2×	egg-herbie

Rules

570×	`distribute-rgt-in`
516×	`unsub-neg`
444×	`distribute-lft-in`
290×	`associate-+l-`
284×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	61	42
2	216	42
3	542	42
4	1086	42
5	1973	42
6	2789	42
7	2935	42
8	2935	42
9	2935	42
10	2977	42
11	2993	42
0	4	7
1	11	7
2	25	7
3	53	7
4	76	7
5	92	7
6	101	7
7	107	7
0	107	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort x y)

explain77.0ms (1.1%)

Memory

-5.2MiB live, 109.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(*.f64 (+.f64 x y) (+.f64 x y))`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

44.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-mult: 5.0ms (56.7% of total)

ival-add: 3.0ms (34% 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify8.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`
48×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	11	12
2	25	12
3	53	12
4	76	12
5	92	12
6	101	12
7	107	12
0	107	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

-2.3MiB live, 32.7MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 2.0ms (52.1% of total)

ival-mult: 2.0ms (52.1% of total)

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

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

series2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite569.0ms (8.3%)

Memory

6.1MiB live, 1 031.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`
4 194×	`accelerator-lowering-fma.f64`
3 878×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	218	8
3	2800	8
0	9133	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 989

Calls

Call 1

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

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

simplify269.0ms (3.9%)

Memory

3.9MiB live, 408.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
2 898×	`-lowering-.f32`
2 898×	`-lowering-.f64`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval223.0ms (3.3%)

Memory: -5.0MiB live, 285.7MiB allocated
Compiler: Compiled 53 466 to 2 965 computations (94.5% saved)

prune186.0ms (2.7%)

Memory

-16.1MiB live, 375.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 147	6	1 153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 147	7	1 154

Accuracy

100.0%

Counts

1 154 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
	54.5%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
▶	53.2%	(fma.f64 y y #s(literal 0 binary64))
▶	62.8%	(fma.f64 x x #s(literal 0 binary64))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	54.4%	(*.f64 (+.f64 x y) y)
▶	62.6%	(*.f64 (+.f64 x y) x)

Compiler

Compiled 103 to 58 computations (43.7% saved)

simplify10.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

162×	`accelerator-lowering-fma.f32`
162×	`accelerator-lowering-fma.f64`
130×	`+-lowering-+.f64`
130×	`+-lowering-+.f32`
78×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	21	47
2	41	47
3	72	47
4	114	47
5	132	47
6	138	47
0	138	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize45.0ms (0.7%)

Memory

-21.0MiB live, 90.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) x)
✓	accuracy	100.0%	(fma.f64 y y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x (+.f64 x y))
✓	accuracy	97.6%	(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))

Samples

29.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

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

ival-add: 8.0ms (50% of total)

ival-mult: 7.0ms (43.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite537.0ms (7.9%)

Memory

-9.5MiB live, 952.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 294×	`accelerator-lowering-fma.f32`
13 294×	`accelerator-lowering-fma.f64`
4 862×	`-lowering-.f32`
4 862×	`-lowering-.f64`
3 642×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	68	31
2	762	29
0	8614	29

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 740

Calls

Call 1

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

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

simplify350.0ms (5.1%)

Memory

3.1MiB live, 526.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 800×	`accelerator-lowering-fma.f32`
9 800×	`accelerator-lowering-fma.f64`
3 098×	`-lowering-.f32`
3 098×	`-lowering-.f64`
2 036×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	660
1	267	660
2	705	660
3	2094	648
4	4815	648
5	7895	648
0	8474	618

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval131.0ms (1.9%)

Memory: 21.7MiB live, 281.5MiB allocated
Compiler: Compiled 26 595 to 1 516 computations (94.3% saved)

prune178.0ms (2.6%)

Memory

-58.9MiB live, 260.8MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 097	3	1 100
Fresh	0	1	1
Picked	3	2	5
Done	0	1	1
Total	1 100	7	1 107

Accuracy

100.0%

Counts

1 107 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(fma.f64 (+.f64 x y) y (*.f64 x y))
▶	54.5%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	54.4%	(*.f64 (+.f64 x y) y)
✓	62.6%	(*.f64 (+.f64 x y) x)
▶	53.2%	(*.f64 y y)
▶	62.8%	(*.f64 x x)

Compiler

Compiled 52 to 29 computations (44.2% saved)

simplify7.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	192	(fma.f64 (+.f64 x y) y (*.f64 x y))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x y)
✓	cost-diff	0	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)

Rules

62×	`accelerator-lowering-fma.f32`
62×	`accelerator-lowering-fma.f64`
50×	`+-lowering-+.f64`
50×	`+-lowering-+.f32`
36×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	28	39
2	51	39
3	64	39
4	75	39
5	75	39
6	77	39
0	77	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x x)
x
(* y y)
y
(+ (* y (+ (* 2 x) y)) 0)
y
(+ (* 2 x) y)
2
x
0
(+ (* (+ x y) y) (* x y))
(+ x y)
x
y
(* x y)

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

localize51.0ms (0.7%)

Memory

12.9MiB live, 52.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.6%	(fma.f64 (+.f64 x y) y (*.f64 x y))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x y)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)

Samples

39.0ms

256×

valid

Compiler

Compiled 41 to 16 computations (61% saved)

Precisions

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

ival-mult: 10.0ms (68.8% of total)

ival-add: 4.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (* x x)>
#<alt (* y y)>
#<alt (+ (* y (+ (* 2 x) y)) 0)>
#<alt (+ (* 2 x) y)>
#<alt (+ (* (+ x y) y) (* x y))>
#<alt (+ x y)>
#<alt (* x 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 (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 (* 2 (* x y))>
#<alt (* y (+ y (* 2 x)))>
#<alt (* y (+ y (* 2 x)))>
#<alt (* y (+ y (* 2 x)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (pow y 2)>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt y>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt y>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (pow y 2)>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* 2 (* x y))>
#<alt (* y (+ y (* 2 x)))>
#<alt (* y (+ y (* 2 x)))>
#<alt (* y (+ y (* 2 x)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* (+ x y) y) (* x y))
0.0ms	y	@	-inf	(+ (* y (+ (* 2 x) y)) 0)
0.0ms	y	@	0	(+ (* y (+ (* 2 x) y)) 0)
0.0ms	x	@	inf	(+ (* y (+ (* 2 x) y)) 0)
0.0ms	x	@	0	(+ (* y (+ (* 2 x) y)) 0)

rewrite1.1s (16.7%)

Memory

11.1MiB live, 365.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 656×	`accelerator-lowering-fma.f32`
9 656×	`accelerator-lowering-fma.f64`
5 104×	`-lowering-.f32`
5 104×	`-lowering-.f64`
3 268×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	73	31
2	684	31
3	7616	31
0	8755	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 997

Calls

Call 1

Inputs
(* x x)
(* y y)
(+ (* y (+ (* 2 x) y)) 0)
(+ (* 2 x) y)
(+ (* (+ x y) y) (* x y))
(+ x y)
(* x y)

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

simplify461.0ms (6.8%)

Memory

-20.1MiB live, 335.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 666×	`accelerator-lowering-fma.f32`
4 666×	`accelerator-lowering-fma.f64`
3 346×	`-lowering-.f32`
3 346×	`-lowering-.f64`
1 398×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	606
1	160	606
2	380	606
3	1056	606
4	2691	606
5	4399	606
6	6846	606
0	8106	552

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

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

eval136.0ms (2%)

Memory: 26.6MiB live, 415.9MiB allocated
Compiler: Compiled 36 040 to 1 344 computations (96.3% saved)

prune86.0ms (1.3%)

Memory

-9.2MiB live, 277.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 140	1	1 141
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 141	7	1 148

Accuracy

100.0%

Counts

1 148 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 (+.f64 x y) y (*.f64 x y))
▶	54.5%	(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	54.4%	(*.f64 (+.f64 x y) y)
✓	62.6%	(*.f64 (+.f64 x y) x)
✓	53.2%	(*.f64 y y)
✓	62.8%	(*.f64 x x)

Compiler

Compiled 51 to 28 computations (45.1% saved)

simplify5.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

30×	`-lowering-.f32`
30×	`-lowering-.f64`
18×	`accelerator-lowering-fma.f32`
18×	`accelerator-lowering-fma.f64`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	9	15
2	16	15
3	24	15
4	26	15
0	26	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

3.1MiB live, 42.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	accuracy	100.0%	(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

ival-mult: 3.0ms (63.1% of total)

ival-add: 1.0ms (21% 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

2.1MiB live, 2.1MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(* (+ (* x 2) y) y)
0.0ms	x	@	0	(* (+ (* x 2) y) y)
0.0ms	x	@	inf	(* (+ (* x 2) y) y)
0.0ms	x	@	-inf	(* (+ (* x 2) y) y)
0.0ms	y	@	-inf	(* (+ (* x 2) y) y)

rewrite445.0ms (6.5%)

Memory

-17.1MiB live, 849.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 780×	`accelerator-lowering-fma.f32`
11 780×	`accelerator-lowering-fma.f64`
4 328×	`/-lowering-/.f32`
4 328×	`/-lowering-/.f64`
4 166×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	22	12
2	164	12
3	1628	12
0	8210	10

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 243

Calls

Call 1

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

Outputs
(+.f64 (.f64 y y) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (.f64 y y) (neg.f64 (.f64 y (*.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (*.f64 y y))
(-.f64 (.f64 y y) (.f64 y (*.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (fma.f64 x (.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x (.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(fma.f64 x (.f64 #s(literal 2 binary64) y) (.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 y y))
(fma.f64 (.f64 x #s(literal 2 binary64)) y (.f64 y y))
(fma.f64 y (.f64 x #s(literal 2 binary64)) (.f64 y y))
(fma.f64 y y (.f64 (.f64 x #s(literal 2 binary64)) y))
(fma.f64 y y (neg.f64 (.f64 y (.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (neg.f64 (.f64 y (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y) (neg.f64 (.f64 y (.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 y y))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 y y))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)) (neg.f64 (.f64 y (*.f64 x #s(literal -2 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal 2 binary64))))) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal 2 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))) (.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) y) (.f64 y (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal -2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) y) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal -2 binary64) y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 (.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 y (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 (.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 y (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal -2 binary64) y))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (.f64 y (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))) (-.f64 y (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal -2 binary64) y)) y) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) y) (-.f64 y (.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))))) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x (.f64 (.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x (.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 y (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal -2 binary64) y)))) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (.f64 y (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 y (.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal -2 binary64) y)) y)) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) y)) (-.f64 #s(literal 0 binary64) (-.f64 y (.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (fma.f64 y (.f64 y (.f64 y y)) (fma.f64 x (.f64 (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 x #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal -1 binary64))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))) y))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (/.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))))
(.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y)) y))
(.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal -2 binary64) y)))
(.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(.f64 (.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) y)))
(.f64 (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (*.f64 x #s(literal 2 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (*.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(.f64 (.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(.f64 (.f64 y (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal -2 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) y)))
(.f64 (.f64 y (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x #s(literal 2 binary64)))))
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simplify203.0ms (3%)

Memory

14.6MiB live, 225.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 690×	`-lowering-.f32`
4 690×	`-lowering-.f64`
2 808×	`accelerator-lowering-fma.f32`
2 808×	`accelerator-lowering-fma.f64`
1 176×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	252
1	120	252
2	287	252
3	745	252
4	1882	252
5	3582	252
6	5334	252
7	6392	252
8	6975	252
0	8130	216

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval38.0ms (0.5%)

Memory: -13.9MiB live, 59.0MiB allocated
Compiler: Compiled 9 239 to 770 computations (91.7% saved)

prune34.0ms (0.5%)

Memory

28.6MiB live, 66.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	291	7	298

Accuracy

100.0%

Counts

298 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 (+.f64 x y) y (*.f64 x y))
✓	54.5%	(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	54.4%	(*.f64 (+.f64 x y) y)
✓	62.6%	(*.f64 (+.f64 x y) x)
✓	53.2%	(*.f64 y y)
✓	62.8%	(*.f64 x x)

Compiler

Compiled 115 to 48 computations (58.3% saved)

regimes19.0ms (0.3%)

Memory

-19.6MiB live, 25.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 (+.f64 x y) x)
(*.f64 (+.f64 x y) y)
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
(fma.f64 (+.f64 x y) y (*.f64 x y))
(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))

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

Calls

4 calls:

7.0ms	(+.f64 x y)
4.0ms	y
4.0ms	x
3.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
90.5%	2	`x`
87.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
62.8%	1	`y`
62.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.2%)

Memory

-25.9MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-4.420483175079155e-80	-4.85910308558225e-84

Samples

4.0ms

128×

valid

Compiler

Compiled 108 to 73 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (59.2% of total)

ival-mult: 1.0ms (59.2% of total)

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

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

simplify8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	10	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -5873964348782503/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (*.f64 x x) (*.f64 y y))

(*.f64 x x)

Outputs

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

(if (<=.f64 x #s(literal -5873964348782503/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (*.f64 x x) (*.f64 y y))

(*.f64 x x)

soundness681.0ms (10%)

Memory

0.6MiB live, 224.9MiB allocated

Rules

13 294×	`accelerator-lowering-fma.f32`
13 294×	`accelerator-lowering-fma.f64`
7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
4 862×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222
0	12	35
1	68	31
2	762	29
0	8614	29

Stop Event

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

Compiler

Compiled 55 to 30 computations (45.5% saved)

preprocess273.0ms (4%)

Memory: -7.5MiB live, 119.9MiB allocated
Remove: (sort x y)
Compiler: Compiled 128 to 60 computations (53.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample489.0ms (7.2%)

preprocess96.0ms (1.4%)

explain77.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite569.0ms (8.3%)

simplify269.0ms (3.9%)

eval223.0ms (3.3%)

prune186.0ms (2.7%)

simplify10.0ms (0.1%)

localize45.0ms (0.7%)

series5.0ms (0.1%)

rewrite537.0ms (7.9%)

simplify350.0ms (5.1%)

eval131.0ms (1.9%)

prune178.0ms (2.6%)

simplify7.0ms (0.1%)

localize51.0ms (0.7%)

series6.0ms (0.1%)

rewrite1.1s (16.7%)

simplify461.0ms (6.8%)

eval136.0ms (2%)

prune86.0ms (1.3%)

simplify5.0ms (0.1%)

localize18.0ms (0.3%)

series1.0ms (0%)

rewrite445.0ms (6.5%)

simplify203.0ms (3%)

eval38.0ms (0.5%)

prune34.0ms (0.5%)

regimes19.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch11.0ms (0.2%)

simplify8.0ms (0.1%)

soundness681.0ms (10%)

preprocess273.0ms (4%)

end0.0ms (0%)

Profiling