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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample628.0ms (12%)

Memory

8.4MiB live, 758.6MiB allocated

Samples

442.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-mult: 151.0ms (66.1% of total)

ival-add: 68.0ms (29.8% of total)

ival-true: 6.0ms (2.6% of total)

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

Bogosity

explain42.0ms (0.8%)

Memory

10.4MiB live, 85.7MiB 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

19.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

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

ival-mult: 3.0ms (34% of total)

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

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

preprocess88.0ms (1.7%)

Memory

5.2MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Rules

570×	`distribute-rgt-in`
518×	`unsub-neg`
446×	`distribute-lft-in`
286×	`distribute-lft-out`
280×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB 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×	`lower-fma.f64`
124×	`lower-fma.f32`
86×	`lower-+.f32`
84×	`lower-+.f64`
50×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.8%)

Memory

-15.5MiB live, 23.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.02734375	(*.f64 (+.f64 x y) (+.f64 x y))

Samples

8.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 1.0ms (31.7% of total)

ival-mult: 1.0ms (31.7% of total)

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

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

series3.0ms (0.1%)

Memory

9.7MiB live, 9.8MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow y 2)) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 y))) (pow y 2)) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 y))) (pow y 2)) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify106.0ms (2%)

Memory

-2.8MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
2 898×	`lower-*.f64`
2 898×	`lower-*.f32`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	270
1	193	264
2	488	264
3	1576	252
4	3881	252
5	6929	252
0	8083	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite287.0ms (5.5%)

Memory

4.8MiB live, 342.8MiB allocated

Rules

5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`
4 194×	`lower-fma.f32`
3 878×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8

Stop Event

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

Counts

2 → 989

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (+.f64 y x))
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(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (+.f64 y x) y))
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y))
(fma.f64 y (+.f64 y x) (*.f64 (+.f64 y x) x))
(fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x)))
(fma.f64 y x (fma.f64 y y (*.f64 (+.f64 y x) x)))
(fma.f64 y x (fma.f64 (+.f64 y x) y (*.f64 x x)))
(fma.f64 x (+.f64 y x) (*.f64 (+.f64 y x) y))
(fma.f64 x y (fma.f64 y y (*.f64 (+.f64 y x) x)))
(fma.f64 x y (fma.f64 (+.f64 y x) y (*.f64 x x)))
(fma.f64 x x (fma.f64 y x (*.f64 (+.f64 y x) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))
(+.f64 (fma.f64 (+.f64 y x) y (.f64 y x)) (.f64 x x))
(+.f64 (fma.f64 (+.f64 y x) x (.f64 y x)) (.f64 y y))
(+.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 y x))
(+.f64 (.f64 (+.f64 y x) y) (.f64 (+.f64 y x) x))
(+.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) y))
(+.f64 (.f64 y x) (fma.f64 y y (.f64 (+.f64 y x) x)))
(+.f64 (.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))
(+.f64 (.f64 y y) (fma.f64 y x (.f64 (+.f64 y x) x)))
(+.f64 (.f64 x x) (fma.f64 y x (.f64 (+.f64 y x) y)))
(.f64 (exp.f64 (log.f64 (.f64 (-.f64 x y) (+.f64 y x)))) (exp.f64 (neg.f64 (log.f64 (-.f64 x y)))))
(.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (+.f64 y x) (pow.f64 (.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 y) y)) (neg.f64 (-.f64 x y)))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (exp.f64 (log.f64 (-.f64 y x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (exp.f64 (log.f64 (-.f64 x y))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval289.0ms (5.5%)

Memory: -19.5MiB live, 288.9MiB allocated
Compiler: Compiled 43 687 to 2 966 computations (93.2% saved)

prune48.0ms (0.9%)

Memory

29.7MiB live, 69.1MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 134	7	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 134	8	1 142

Accuracy

100.0%

Counts

1 142 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
	96.5%	(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y))
	96.5%	(fma.f64 x x (fma.f64 y x (*.f64 (+.f64 y x) y)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	53.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	59.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	60.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	52.0%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 113 to 76 computations (32.7% saved)

simplify30.0ms (0.6%)

Memory

-30.8MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 2 binary64) x)
cost-diff	0	(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x y)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
cost-diff	0	(*.f64 (+.f64 y x) x)
cost-diff	0	(+.f64 y x)
cost-diff	384	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))

Rules

124×	`lower-fma.f32`
118×	`lower-fma.f64`
86×	`lower-+.f32`
84×	`lower-+.f64`
60×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
0	30	101
1	48	101
2	70	101
3	106	101
4	129	101
5	149	101
6	157	101
0	157	101

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (2.2%)

Memory

21.1MiB live, 57.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0.0078125	(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy	29.95325471026161	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	25.744400060710355	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0	(*.f64 y y)
accuracy	25.166430643797014	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	30.741760152374667	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(*.f64 (+.f64 y x) x)
accuracy	1.0117077404222408	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))

Samples

106.0ms

256×

valid

Compiler

Compiled 89 to 19 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-add: 83.0ms (86.6% of total)

ival-mult: 13.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series110.0ms (2.1%)

Memory

-30.9MiB live, 22.7MiB allocated

Counts

13 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ y (* 2 x))) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ y (* 2 x))) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ y (* 2 x))) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (.f64 (+.f64 y x) x) (patch (.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 x x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 y y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
2.0ms	y	@	inf	((+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
1.0ms	y	@	-inf	((+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
1.0ms	x	@	inf	((+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
1.0ms	y	@	0	((+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x))

simplify189.0ms (3.6%)

Memory

4.4MiB live, 239.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 554×	`lower-fma.f64`
8 554×	`lower-fma.f32`
3 162×	`lower-*.f64`
3 162×	`lower-*.f32`
1 820×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1770
1	332	1704
2	902	1704
3	2505	1704
4	5142	1704
0	8054	1482

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 276

Calls

Call 1

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

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

rewrite177.0ms (3.4%)

Memory

19.1MiB live, 377.6MiB allocated

Rules

10 242×	`lower-fma.f32`
10 236×	`lower-fma.f64`
6 094×	`lower-*.f32`
6 084×	`lower-*.f64`
4 944×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	94
0	30	81
1	101	81
2	806	81
0	8884	81

Stop Event

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

Counts

13 → 665

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y)) (+.f64 x y))
(*.f64 (exp.f64 (log.f64 (+.f64 x y))) (exp.f64 (log.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))))
(.f64 (neg.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (-.f64 x y))))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.f64 (.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (-.f64 y x))))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 y x))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 y x))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 x y))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (-.f64 y x)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) (-.f64 y x)))))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))))
(*.f64 (+.f64 x y) (+.f64 x y))
(pow.f64 (exp.f64 (log.f64 (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 6 binary64))) (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 9 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) y) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (+.f64 x y)) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (+.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 x y)) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 x y)) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 (+.f64 x y) (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 (+.f64 x y) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x)))) (.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))))) (+.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (.f64 (/.f64 (pow.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (-.f64 y x)))) (neg.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (+.f64 x y) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 y x) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (.f64 x x)))))
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(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y)))) (neg.f64 (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (-.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) y)) (fma.f64 x x (.f64 #s(literal -4 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 y #s(literal 2 binary64) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 x (*.f64 #s(literal 2 binary64) y))

eval297.0ms (5.7%)

Memory: -16.4MiB live, 260.8MiB allocated
Compiler: Compiled 21 771 to 2 095 computations (90.4% saved)

prune54.0ms (1%)

Memory

18.4MiB live, 57.2MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 029	4	1 033
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	1 032	9	1 041

Accuracy

100.0%

Counts

1 041 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (*.f64 y x)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	100.0%	#s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
▶	49.7%	#s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))))
✓	53.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	59.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	13.6%	#s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
✓	60.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	52.0%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 64 to 51 computations (20.3% saved)

simplify8.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (+ y x) x) (*.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (*.f64 y x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 y #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
cost-diff	384	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))))
cost-diff	320	(fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))

Rules

140×	`lower-fma.f32`
132×	`lower-fma.f64`
106×	`lower-+.f32`
104×	`lower-+.f64`
50×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	148
0	40	144
1	61	140
2	74	140
3	107	140
4	138	136
5	150	136
6	156	136
0	156	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (1.5%)

Memory

3.7MiB live, 51.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 y x)
accuracy	1.0117077404222408	(fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (*.f64 y x)))
accuracy	26.029828253812433	#s(approx (* (+ y x) x) (*.f64 y x))
accuracy	0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0	(*.f64 y y)
accuracy	0	#s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
accuracy	0.0078125	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
accuracy	0	(.f64 (.f64 x y) #s(literal 2 binary64))
accuracy	0	(*.f64 x y)
accuracy	2.253881478450042	(fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))
accuracy	29.95325471026161	#s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0078125	(.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)
accuracy	28.779665562702533	#s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64)))
accuracy	29.95325471026161	#s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))

Samples

67.0ms

256×

valid

Compiler

Compiled 111 to 21 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 40.0ms (71.9% of total)

ival-mult: 15.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (1%)

Memory

-14.5MiB live, 22.7MiB allocated

Counts

16 → 360

Calls

Call 1

Inputs
#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) (patch #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) #s(literal 2 binary64)) (patch (.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y))) (patch #s(approx (+ ( (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (.f64 y x))) (patch (fma.f64 (+.f64 y x) y #s(approx ( (+ y x) x) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x)) (patch #s(approx ( (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( y 2) x) (.f64 y #s(literal 2 binary64))) x) (patch (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y 2) x) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) (patch #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) (patch #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) (patch #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) (patch #s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 2 binary64)) (patch (.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 2 binary64)) (patch (.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 2 binary64)) (patch (.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 2 binary64)) (patch (.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y))) (patch #s(approx (+ ( (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y))) (patch #s(approx (+ ( (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y))) (patch #s(approx (+ ( (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y))) (patch #s(approx (+ ( (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (.f64 y x))) (patch (fma.f64 (+.f64 y x) y #s(approx ( (+ y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (.f64 y x))) (patch (fma.f64 (+.f64 y x) y #s(approx ( (+ y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (.f64 y x))) (patch (fma.f64 (+.f64 y x) y #s(approx ( (+ y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (.f64 y x))) (patch (fma.f64 (+.f64 y x) y #s(approx ( (+ y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (* (+ y x) x) (.f64 y x)) (patch #s(approx ( (+ y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	((* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* x x) (* (* x y) 2)) (* (+ x y) (+ x y)) (* (* x y) 2) (* x y) (+ (* (+ (* y 2) x) x) (* y y)) (+ (* (+ y x) y) (* (+ y x) x)) (+ (* y 2) x) (* y y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* y x))
2.0ms	y	@	-inf	((* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* x x) (* (* x y) 2)) (* (+ x y) (+ x y)) (* (* x y) 2) (* x y) (+ (* (+ (* y 2) x) x) (* y y)) (+ (* (+ y x) y) (* (+ y x) x)) (+ (* y 2) x) (* y y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* y x))
1.0ms	x	@	-inf	((* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* x x) (* (* x y) 2)) (* (+ x y) (+ x y)) (* (* x y) 2) (* x y) (+ (* (+ (* y 2) x) x) (* y y)) (+ (* (+ y x) y) (* (+ y x) x)) (+ (* y 2) x) (* y y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* y x))
1.0ms	y	@	0	((* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* x x) (* (* x y) 2)) (* (+ x y) (+ x y)) (* (* x y) 2) (* x y) (+ (* (+ (* y 2) x) x) (* y y)) (+ (* (+ y x) y) (* (+ y x) x)) (+ (* y 2) x) (* y y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* y x))
1.0ms	x	@	inf	((* (+ x y) (+ x y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* x x) (* (* x y) 2)) (* (+ x y) (+ x y)) (* (* x y) 2) (* x y) (+ (* (+ (* y 2) x) x) (* y y)) (+ (* (+ y x) y) (* (+ y x) x)) (+ (* y 2) x) (* y y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x) (* y x))

simplify138.0ms (2.6%)

Memory

11.2MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 118×	`lower-fma.f64`
10 118×	`lower-fma.f32`
3 090×	`lower-*.f64`
3 090×	`lower-*.f32`
1 758×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	2130
1	280	2028
2	740	2028
3	2136	1968
4	4779	1968
0	8092	1746

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 348

Calls

Call 1

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

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

rewrite243.0ms (4.6%)

Memory

-24.6MiB live, 211.3MiB allocated

Rules

7 880×	`lower-fma.f32`
7 872×	`lower-fma.f64`
4 186×	`lower-*.f32`
4 174×	`lower-*.f64`
4 006×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	137
0	40	127
1	138	123
2	1084	123
0	8223	123

Stop Event

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

Counts

16 → 280

Calls

Call 1

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

Outputs
#s(approx (+ (* (+ y x) y) (* (+ y x) x)) (.f64 #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y)) x))
(.f64 #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y)) x)
(.f64 x #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) x) (/.f64 (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y))) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) x) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) y) x)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) y) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
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eval253.0ms (4.8%)

Memory: 26.6MiB live, 149.5MiB allocated
Compiler: Compiled 10 077 to 976 computations (90.3% saved)

prune177.0ms (3.4%)

Memory

-29.1MiB live, 54.7MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	628	0	628
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	628	9	637

Accuracy

100.0%

Counts

637 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.2%	(fma.f64 (+.f64 y x) y #s(approx (* (+ y x) x) (*.f64 y x)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	100.0%	#s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
✓	49.7%	#s(approx (* (+ x y) (+ x y)) (fma.f64 x x (.f64 (.f64 x y) #s(literal 2 binary64))))
✓	53.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	59.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	13.6%	#s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
✓	60.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	52.0%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 159 to 86 computations (45.9% saved)

regimes95.0ms (1.8%)

Memory

-0.9MiB live, 38.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	x
4.0ms	(+.f64 x y)
4.0ms	y
4.0ms	(*.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 12 to 11 computations (8.3% saved)

regimes13.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	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 12 to 11 computations (8.3% saved)

regimes87.0ms (1.6%)

Memory

-12.5MiB live, 27.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

79.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
3.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x

Results

Accuracy	Segments	Branch
90.5%	2	`x`
89.7%	2	`y`
63.1%	2	`(*.f64 (+.f64 x y) (+.f64 x y))`
99.3%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.1%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.6%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
52.0%	1	`y`
52.0%	1	`x`
52.0%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch77.0ms (1.5%)

Memory

-38.9MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.283170884990739e-159	-5.405161512487637e-189

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.283170884990739e-159	-5.405161512487637e-189

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.283170884990739e-159	-5.405161512487637e-189

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify97.0ms (1.8%)

Memory

1.5MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
1	31	132

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Outputs
#s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

soundness1.3s (25.6%)

Memory

25.9MiB live, 451.1MiB allocated

Rules

8 554×	`lower-fma.f64`
8 554×	`lower-fma.f32`
7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
5 646×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8
0	102	1770
1	332	1704
2	902	1704
3	2505	1704
4	5142	1704
0	8054	1482
0	65	270
1	193	264
2	488	264
3	1576	252
4	3881	252
5	6929	252
0	8083	222

Stop Event

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

Compiler

Compiled 123 to 57 computations (53.7% saved)

preprocess67.0ms (1.3%)

Memory: -3.8MiB live, 197.3MiB allocated
Compiler: Compiled 224 to 98 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample628.0ms (12%)

explain42.0ms (0.8%)

preprocess88.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize40.0ms (0.8%)

series3.0ms (0.1%)

simplify106.0ms (2%)

rewrite287.0ms (5.5%)

eval289.0ms (5.5%)

prune48.0ms (0.9%)

simplify30.0ms (0.6%)

localize117.0ms (2.2%)

series110.0ms (2.1%)

simplify189.0ms (3.6%)

rewrite177.0ms (3.4%)

eval297.0ms (5.7%)

prune54.0ms (1%)

simplify8.0ms (0.1%)

localize80.0ms (1.5%)

series54.0ms (1%)

simplify138.0ms (2.6%)

rewrite243.0ms (4.6%)

eval253.0ms (4.8%)

prune177.0ms (3.4%)

regimes95.0ms (1.8%)

regimes13.0ms (0.2%)

regimes87.0ms (1.6%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch77.0ms (1.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify97.0ms (1.8%)

soundness1.3s (25.6%)

preprocess67.0ms (1.3%)

end0.0ms (0%)

Profiling