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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample695.0ms (18.6%)

Memory

-12.1MiB live, 702.5MiB allocated

Samples

391.0ms

8 256×

valid

Precisions

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

ival-add: 88.0ms (57.9% of total)

ival-mult: 55.0ms (36.2% of total)

ival-true: 6.0ms (3.9% of total)

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

Bogosity

explain52.0ms (1.4%)

Memory

16.3MiB live, 88.7MiB 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

21.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

ival-mult: 6.0ms (61% of total)

ival-add: 3.0ms (30.5% of total)

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

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

preprocess84.0ms (2.2%)

Memory

21.7MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify28.0ms (0.8%)

Memory

-39.1MiB live, 13.4MiB 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))

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

localize13.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.01953125	(*.f64 (+.f64 x y) (+.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 2.0ms (59.5% of total)

ival-add: 1.0ms (29.7% of total)

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

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

series3.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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))

simplify147.0ms (3.9%)

Memory

-28.6MiB live, 139.2MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite256.0ms (6.9%)

Memory

18.6MiB live, 277.8MiB allocated

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval200.0ms (5.4%)

Memory: 9.5MiB live, 242.2MiB allocated
Compiler: Compiled 43 687 to 2 966 computations (93.2% saved)

prune22.0ms (0.6%)

Memory

-2.9MiB live, 71.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1 136	5	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 136	6	1 142

Accuracy

100.0%

Counts

1 142 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
▶	57.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	57.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	57.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify6.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	113
0	27	112
1	43	112
2	59	112
3	108	112
4	141	106
5	154	106
6	160	106
0	160	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (2.2%)

Memory

-16.0MiB live, 92.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(*.f64 (+.f64 y x) x)
accuracy	3.0077794712667223	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0234375	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	27.313329174953264	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0	(*.f64 y y)
accuracy	27.176685338342107	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	27.225962428265472	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))

Samples

70.0ms

256×

valid

Compiler

Compiled 96 to 17 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 37.0ms (73.7% of total)

ival-mult: 12.0ms (23.9% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.6%)

Memory

-10.1MiB live, 27.2MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
1.0ms	y	@	inf	((+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
1.0ms	y	@	-inf	((+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
1.0ms	x	@	-inf	((+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
1.0ms	x	@	inf	((+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))

simplify132.0ms (3.5%)

Memory

13.5MiB live, 167.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1680
1	283	1644
2	768	1644
3	2256	1644
4	4765	1644
5	7921	1644
0	8334	1428

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 255

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

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)
(+ (* 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)
(*.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)
(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))
(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))
(* 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)
(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)
(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))
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(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))
(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))
(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))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x 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)
(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))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
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rewrite219.0ms (5.8%)

Memory

-4.0MiB live, 312.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	96
0	27	83
1	98	83
2	812	83
0	8438	83

Stop Event

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

Counts

12 → 617

Calls

Call 1

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

Outputs
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eval234.0ms (6.3%)

Memory: -14.2MiB live, 191.8MiB allocated
Compiler: Compiled 21 715 to 1 887 computations (91.3% saved)

prune51.0ms (1.4%)

Memory

14.6MiB live, 67.3MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 030	2	1 032
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 031	7	1 038

Accuracy

100.0%

Counts

1 038 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.3%	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	58.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)))
✓	57.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	13.7%	#s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
✓	57.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	57.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 49 to 38 computations (22.4% saved)

simplify29.0ms (0.8%)

Memory

-31.5MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	99
0	18	99
1	29	99
2	42	99
3	70	99
4	93	99
5	108	99
6	117	99
7	120	99
0	120	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.7%)

Memory

33.1MiB live, 33.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)))
accuracy	0.015625	(fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))
accuracy	31.257511326279932	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0234375	(.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
accuracy	27.313329174953264	#s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
accuracy	31.257511326279932	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))

Samples

19.0ms

256×

valid

Compiler

Compiled 59 to 12 computations (79.7% saved)

Precisions

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

ival-mult: 6.0ms (60.2% of total)

ival-add: 4.0ms (40.1% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (1.1%)

Memory

-22.8MiB live, 15.8MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	((* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)))
1.0ms	x	@	-inf	((* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)))
0.0ms	y	@	inf	((* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)))
0.0ms	y	@	-inf	((* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)))
0.0ms	x	@	0	((* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)))

simplify374.0ms (10%)

Memory

2.3MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	882
1	208	864
2	567	864
3	1653	864
4	3674	864
5	6193	864
0	8074	738

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 129

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

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

rewrite164.0ms (4.4%)

Memory

-2.2MiB live, 248.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
0	18	74
1	65	74
2	503	74
3	5711	74
0	8129	69

Stop Event

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

Counts

6 → 79

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>

eval25.0ms (0.7%)

Memory: 23.4MiB live, 61.9MiB allocated
Compiler: Compiled 4 072 to 332 computations (91.8% saved)

prune22.0ms (0.6%)

Memory

-15.9MiB live, 22.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	244	7	251

Accuracy

100.0%

Counts

251 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.3%	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	58.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)))
✓	57.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	13.7%	#s(approx (* (+ x y) (+ x y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
✓	57.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	57.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 108 to 61 computations (43.5% saved)

regimes37.0ms (1%)

Memory

-10.7MiB live, 28.6MiB 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 (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(*.f64 (+.f64 x y) (+.f64 x y))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))

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

Calls

4 calls:

27.0ms	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)

regimes11.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

6 → 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 (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(*.f64 (+.f64 x y) (+.f64 x y))
#s(approx (* (+ x y) (+ x y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)))

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

Calls

4 calls:

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

regimes24.0ms (0.6%)

Memory

-26.7MiB live, 18.1MiB 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 (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
#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

4 calls:

17.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
85.0%	2	`x`
89.9%	2	`y`
62.8%	3	`(*.f64 (+.f64 x y) (+.f64 x y))`
98.7%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes2.0ms (0.1%)

Memory

6.6MiB live, 6.7MiB 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 (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))

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
98.2%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes6.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB 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	y
1.0ms	x
1.0ms	(+.f64 x y)
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
57.5%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
57.5%	1	`x`
57.5%	1	`y`
57.5%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.141036454513779e-162	-2.1893834592682245e-163

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	-7.141036454513779e-162	-2.1893834592682245e-163

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify72.0ms (1.9%)

Memory

-25.7MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
1	22	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 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 -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 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 (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 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 y x) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 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 -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 y x) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 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))

soundness589.0ms (15.8%)

Memory

-0.5MiB live, 234.9MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 70 to 35 computations (50% saved)

preprocess74.0ms (2%)

Memory: 4.6MiB live, 80.9MiB allocated
Compiler: Compiled 184 to 90 computations (51.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample695.0ms (18.6%)

explain52.0ms (1.4%)

preprocess84.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify28.0ms (0.8%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

simplify147.0ms (3.9%)

rewrite256.0ms (6.9%)

eval200.0ms (5.4%)

prune22.0ms (0.6%)

simplify6.0ms (0.2%)

localize80.0ms (2.2%)

series21.0ms (0.6%)

simplify132.0ms (3.5%)

rewrite219.0ms (5.8%)

eval234.0ms (6.3%)

prune51.0ms (1.4%)

simplify29.0ms (0.8%)

localize26.0ms (0.7%)

series41.0ms (1.1%)

simplify374.0ms (10%)

rewrite164.0ms (4.4%)

eval25.0ms (0.7%)

prune22.0ms (0.6%)

regimes37.0ms (1%)

regimes11.0ms (0.3%)

regimes24.0ms (0.6%)

regimes2.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify72.0ms (1.9%)

soundness589.0ms (15.8%)

preprocess74.0ms (2%)

end0.0ms (0%)

Profiling