Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample474.0ms (7%)

Memory

20.4MiB live, 685.3MiB allocated

Samples

312.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 86.0ms (56.5% of total)

ival-add: 58.0ms (38.1% of total)

ival-true: 5.0ms (3.3% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess85.0ms (1.3%)

Memory

5.2MiB live, 43.1MiB 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)

explain50.0ms (0.7%)

Memory

2.5MiB live, 84.8MiB 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

18.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-add: 3.0ms (43.3% of total)

ival-mult: 3.0ms (43.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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

-23.5MiB live, 15.5MiB 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

localize15.0ms (0.2%)

Memory

-7.3MiB live, 31.1MiB 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

9.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (60.5% of total)

ival-add: 1.0ms (30.2% of total)

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

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

series2.0ms (0%)

Memory

5.4MiB live, 5.4MiB 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))

rewrite553.0ms (8.2%)

Memory

-17.6MiB live, 895.5MiB 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)))))

simplify234.0ms (3.5%)

Memory

22.3MiB live, 411.3MiB 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)

eval209.0ms (3.1%)

Memory: -11.0MiB live, 297.9MiB allocated
Compiler: Compiled 53 466 to 2 965 computations (94.5% saved)

prune181.0ms (2.7%)

Memory

-0.6MiB live, 352.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 149	4	1 153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 149	5	1 154

Accuracy

100.0%

Counts

1 154 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
▶	60.8%	(fma.f64 y y #s(literal 0 binary64))
▶	52.3%	(fma.f64 x x #s(literal 0 binary64))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	52.1%	(*.f64 (+.f64 x y) x)

Compiler

Compiled 40 to 21 computations (47.5% saved)

simplify9.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	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)))
✓	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 (+.f64 x y) x)
✓	cost-diff	0	(+.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	41
1	21	37
2	41	37
3	71	37
4	116	37
5	134	37
6	140	37
0	140	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize58.0ms (0.9%)

Memory

-6.3MiB live, 71.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x (+.f64 x y))
✓	accuracy	95.7%	(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
✓	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 (+.f64 x y) x)

Samples

46.0ms

256×

valid

Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 30.0ms (86% of total)

ival-add: 5.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

6 → 120

Calls

Call 1

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

Outputs
#<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 (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 (* 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)))))>

Calls

30 calls:

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

rewrite664.0ms (9.9%)

Memory

-25.5MiB live, 908.5MiB 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	30
1	68	26
2	762	24
0	8616	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 658

Calls

Call 1

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

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

simplify335.0ms (5%)

Memory

19.3MiB live, 499.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 240×	`accelerator-lowering-fma.f32`
9 240×	`accelerator-lowering-fma.f64`
2 966×	`-lowering-.f32`
2 966×	`-lowering-.f64`
2 088×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	552
1	230	552
2	604	552
3	1854	540
4	4313	540
5	7389	540
0	8222	510

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
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)
(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))))
(* 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)))))

Outputs
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))
(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))
(+ (* 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 x #s(literal 2 binary64) 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 x #s(literal 2 binary64) 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)))
(* 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))

eval149.0ms (2.2%)

Memory: 4.7MiB live, 187.8MiB allocated
Compiler: Compiled 23 577 to 1 354 computations (94.3% saved)

prune109.0ms (1.6%)

Memory

6.3MiB live, 279.9MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	920	2	922
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	922	5	927

Accuracy

100.0%

Counts

927 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	52.1%	(*.f64 (+.f64 x y) x)
▶	60.8%	(*.f64 y y)
▶	52.3%	(*.f64 x x)

Compiler

Compiled 38 to 19 computations (50% saved)

simplify4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	4	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize14.0ms (0.2%)

Memory

-2.5MiB live, 36.7MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

ival-mult: 4.0ms (97.6% of total)

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

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

series0.0ms (0%)

Memory

0.8MiB live, 0.7MiB allocated

Counts

2 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite120.0ms (1.8%)

Memory

-16.2MiB live, 158.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`pow-lowering-pow.f64`
2 096×	`pow-lowering-pow.f32`
1 552×	`prod-exp`
1 252×	`-lowering-.f32`
1 252×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	7	6
2	19	6
3	45	6
4	133	6
5	421	2
6	2894	2
7	2919	2
8	3042	2
9	4255	2
0	9207	2

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 6

Calls

Call 1

Inputs
(* x x)
(* y y)

Outputs
#s(literal 1 binary64)
x
y
#s(literal 1 binary64)
x
y

simplify5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`pow-lowering-pow.f64`
4×	`pow-lowering-pow.f32`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	7	72
0	7	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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)

Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval4.0ms (0.1%)

Memory: -30.4MiB live, 7.6MiB allocated
Compiler: Compiled 80 to 5 computations (93.8% saved)

prune3.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	27	8	35

Accuracy

100.0%

Counts

35 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	52.1%	(*.f64 (+.f64 x y) x)
✓	60.8%	(*.f64 y y)
✓	52.3%	(*.f64 x x)
▶	5.4%	y
▶	2.3%	x
▶	4.3%	#s(literal 1 binary64)

Compiler

Compiled 47 to 26 computations (44.7% saved)

simplify3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	5	3
0	5	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
1
x
y

Outputs
1
#s(literal 1 binary64)
x
y

localize9.0ms (0.1%)

Memory

-11.7MiB live, 27.7MiB allocated

Samples

5.0ms

256×

valid

Compiler

Compiled 5 to 5 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	5	5
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	52.1%	(*.f64 (+.f64 x y) x)
✓	60.8%	(*.f64 y y)
✓	52.3%	(*.f64 x x)
✓	5.4%	y
✓	2.3%	x
✓	4.3%	#s(literal 1 binary64)

Compiler

Compiled 88 to 39 computations (55.7% saved)

regimes49.0ms (0.7%)

Memory

-13.1MiB live, 28.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y
(*.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) (+.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:

37.0ms	(+.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)

regimes40.0ms (0.6%)

Memory

-14.8MiB live, 24.5MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y
(*.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)

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

Calls

4 calls:

30.0ms	y
3.0ms	x
3.0ms	(+.f64 x y)
3.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
89.6%	2	`x`
86.9%	2	`y`
64.9%	3	`(*.f64 (+.f64 x y) (+.f64 x y))`
98.9%	2	`(+.f64 x y)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.9%	2	`(+.f64 x y)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes9.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.3%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
52.3%	1	`y`
52.3%	1	`x`
52.3%	1	`(+.f64 x y)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes58.0ms (0.9%)

Memory

-20.6MiB live, 18.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y

Outputs
y

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
5.4%	1	`y`
5.4%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
5.4%	1	`(+.f64 x y)`
5.4%	1	`x`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes7.0ms (0.1%)

Memory

16.9MiB live, 16.8MiB allocated

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)

Calls

4 calls:

2.0ms	(+.f64 x y)
2.0ms	x
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
4.3%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
4.3%	1	`(+.f64 x y)`
4.3%	1	`x`
4.3%	1	`y`

Compiler

Compiled 20 to 11 computations (45% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.748421253677016e-152	-7.3217294193115615e-168

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.748421253677016e-152	-7.3217294193115615e-168

Compiler

Compiled 10 to 9 computations (10% saved)

simplify12.0ms (0.2%)

Memory

-22.0MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	17	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (.f64 (+.f64 x y) x) (.f64 y y))
(if (<=.f64 (+.f64 x y) #s(literal -2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)
y
#s(literal 1 binary64)

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (.f64 (+.f64 x y) x) (.f64 y y))
(if (<=.f64 (+.f64 x y) #s(literal -2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (.f64 x (+.f64 x y)) (.f64 y y))
(if (<=.f64 (+.f64 x y) #s(literal -2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)
y
#s(literal 1 binary64)

soundness3.2s (47.4%)

Memory

-2.9MiB live, 399.7MiB 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: 5 (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	30
1	68	26
2	762	24
0	8616	24
0	4	6
1	7	6
2	19	6
3	45	6
4	133	6
5	421	2
6	2894	2
7	2919	2
8	3042	2
9	4255	2
0	9207	2

Stop Event

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

Compiler

Compiled 115 to 60 computations (47.8% saved)

preprocess52.0ms (0.8%)

Memory: 27.2MiB live, 143.6MiB allocated
Remove: (sort x y)
Compiler: Compiled 164 to 66 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample474.0ms (7%)

preprocess85.0ms (1.3%)

explain50.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite553.0ms (8.2%)

simplify234.0ms (3.5%)

eval209.0ms (3.1%)

prune181.0ms (2.7%)

simplify9.0ms (0.1%)

localize58.0ms (0.9%)

series4.0ms (0.1%)

rewrite664.0ms (9.9%)

simplify335.0ms (5%)

eval149.0ms (2.2%)

prune109.0ms (1.6%)

simplify4.0ms (0.1%)

localize14.0ms (0.2%)

series0.0ms (0%)

rewrite120.0ms (1.8%)

simplify5.0ms (0.1%)

eval4.0ms (0.1%)

prune3.0ms (0%)

simplify3.0ms (0%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite7.0ms (0.1%)

simplify3.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes49.0ms (0.7%)

regimes40.0ms (0.6%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes58.0ms (0.9%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness3.2s (47.4%)

preprocess52.0ms (0.8%)

end0.0ms (0%)

Profiling