Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.4%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample451.0ms (17.4%)

Memory

178.2MiB live, 178.2MiB allocated

Samples

263.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-add: 70.0ms (54.2% of total)

ival-div: 51.0ms (39.5% of total)

ival-true: 5.0ms (3.9% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

explain57.0ms (2.2%)

Memory

32.1MiB live, 32.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 86 to 34 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 5.0ms (59.7% of total)

ival-div: 3.0ms (35.8% of total)

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

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

preprocess84.0ms (3.2%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	42	35
2	106	35
3	310	35
4	1262	35
5	2388	35
6	3252	35
7	3801	35
8	4253	35
9	4303	35
10	4335	35
11	4411	35
12	4595	35
0	5	7
0	8	7
1	11	7
2	14	7
3	16	7
0	16	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 (+.f64 x y) (+.f64 y y))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(+.f64 x y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	14	15
3	16	15
0	16	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.6%)

Memory

6.4MiB live, 6.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 x y)
accuracy	0.0234375	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

10.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-div: 2.0ms (45.4% of total)

ival-add: 2.0ms (45.4% of total)

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

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

series5.0ms (0.2%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify92.0ms (3.5%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	240
1	95	240
2	195	240
3	532	240
4	2484	240
5	4892	240
6	6155	240
7	7112	240
8	7634	240
0	8014	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite37.0ms (1.4%)

Memory

7.2MiB live, 7.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	38	13
0	305	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 61

Calls

Call 1

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

Outputs
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eval9.0ms (0.4%)

Memory: 9.4MiB live, 9.4MiB allocated
Compiler: Compiled 1 133 to 170 computations (85% saved)

prune6.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	109	6	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	6	116

Accuracy

100.0%

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
▶	1.3%	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
▶	4.2%	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
▶	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	47.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	53.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 88 to 80 computations (9.1% saved)

simplify96.0ms (3.7%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(+.f64 y x)
cost-diff	0	(neg.f64 (+.f64 y x))
cost-diff	128	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	29	97
1	57	97
2	116	96
3	319	96
4	539	96
5	725	96
6	1338	93
7	3062	93
8	3609	93
9	3707	93
10	3762	93
11	3795	93
12	3795	93
13	3795	93
0	3795	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (1.5%)

Memory

19.0MiB live, 19.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.16796875	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	33.305737650601216	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0	(neg.f64 (+.f64 y x))
accuracy	0.00390625	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.00390625	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
accuracy	29.66727144798721	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	0.00390625	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

28.0ms

256×

valid

Compiler

Compiled 161 to 35 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.8% of total)

ival-div: 5.0ms (29.9% of total)

ival-add: 4.0ms (23.9% of total)

ival-neg: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.6%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) (patch #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y)) (patch (.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) y) (patch (.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y)) (patch (.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y))
2.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y))
2.0ms	y	@	inf	((/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y))
2.0ms	y	@	0	((/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (* (+ y x) (* -2 y)) (+ y x) (* -2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y))

simplify87.0ms (3.3%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1296
1	226	1296
2	570	1296
3	1581	1296
4	4021	1296
5	6167	1296
0	8032	1224

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 258

Calls

Call 1

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

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

rewrite39.0ms (1.5%)

Memory

10.6MiB live, 10.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
0	29	77
1	119	77
0	823	77

Stop Event

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

Counts

12 → 306

Calls

Call 1

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

Outputs
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eval53.0ms (2%)

Memory: 52.8MiB live, 52.8MiB allocated
Compiler: Compiled 6 476 to 694 computations (89.3% saved)

prune21.0ms (0.8%)

Memory

31.7MiB live, 31.7MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	645	5	650
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	648	8	656

Accuracy

100.0%

Counts

656 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	48.0%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	47.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	3.9%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	53.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	1.8%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
▶	3.4%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))

Compiler

Compiled 93 to 80 computations (14% saved)

simplify85.0ms (3.3%)

Memory

25.7MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 (+.f64 y y) x)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff	1152	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	135
0	43	135
1	86	129
2	230	126
3	640	126
4	2025	126
5	5207	126
0	8136	123

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 y x)
y
x
(-.f64 y x)
(.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
(*.f64 (+.f64 y y) x)
(+.f64 y y)
y
x
#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
(.f64 (.f64 y y) #s(literal -2 binary64))
(*.f64 y y)
y
#s(literal -2 binary64)
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y

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

localize50.0ms (1.9%)

Memory

24.9MiB live, 24.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	33.305737650601216	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 (.f64 y y) #s(literal -2 binary64))
accuracy	24.28856217727863	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	24.28856217727863	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 (+.f64 y y) x)
accuracy	61.531110883885695	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy	0	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.015625	(.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))
accuracy	25.686221985782648	(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))

Samples

36.0ms

256×

valid

Compiler

Compiled 219 to 48 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 14.0ms (57.8% of total)

ival-div: 4.0ms (16.5% of total)

ival-add: 3.0ms (12.4% of total)

ival-sub: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.8%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

17 → 336

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))) (patch (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y x) (-.f64 y x)) (patch (.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (+.f64 y y) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (+.f64 y y) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y y) x) (patch (.f64 (+.f64 y y) x) #<representation binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64))) (patch #s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 2 binary64)) (patch (.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64))) (patch #s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal -2 binary64)) (patch (.f64 (.f64 y y) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (patch #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)) (patch (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (* (neg (+ y x)) (* -2 y)) (* (* y y) 2) (* y y) (* (+ y x) (* -2 y)) (* (* y y) -2) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (* (* 2 y) (- y x)) (* 2 y))
2.0ms	y	@	-inf	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (* (neg (+ y x)) (* -2 y)) (* (* y y) 2) (* y y) (* (+ y x) (* -2 y)) (* (* y y) -2) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (* (* 2 y) (- y x)) (* 2 y))
2.0ms	y	@	0	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (* (neg (+ y x)) (* -2 y)) (* (* y y) 2) (* y y) (* (+ y x) (* -2 y)) (* (* y y) -2) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (* (* 2 y) (- y x)) (* 2 y))
2.0ms	y	@	inf	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (* (neg (+ y x)) (* -2 y)) (* (* y y) 2) (* y y) (* (+ y x) (* -2 y)) (* (* y y) -2) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (* (* 2 y) (- y x)) (* 2 y))
2.0ms	x	@	-inf	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (* (neg (+ y x)) (* -2 y)) (* (* y y) 2) (* y y) (* (+ y x) (* -2 y)) (* (* y y) -2) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) (* (* 2 y) (- y x)) (* 2 y))

simplify123.0ms (4.7%)

Memory

36.8MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1749
1	444	1689
2	1199	1689
3	4925	1653
0	8580	1599

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite53.0ms (2%)

Memory

14.9MiB live, 14.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	120
0	43	117
1	141	103
0	1093	103

Stop Event

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

Counts

17 → 541

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 y x)
(-.f64 y x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
(*.f64 (+.f64 y y) x)
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
(.f64 (.f64 y y) #s(literal -2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))
(*.f64 #s(literal 2 binary64) y)

Outputs
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eval100.0ms (3.9%)

Memory: 73.1MiB live, 73.1MiB allocated
Compiler: Compiled 12 129 to 1 233 computations (89.8% saved)

prune41.0ms (1.6%)

Memory

41.7MiB live, 41.7MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	920	5	925
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	922	11	933

Accuracy

100.0%

Counts

933 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.7%	(/.f64 #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	48.0%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	47.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	3.9%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
▶	2.8%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
▶	3.1%	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
✓	53.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	3.5%	#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
▶	3.1%	#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
✓	3.4%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))

Compiler

Compiled 99 to 95 computations (4% saved)

simplify112.0ms (4.3%)

Memory

24.5MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
cost-diff	-128	(+.f64 y y)
cost-diff	0	#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	#s(approx (* (+ y x) (- y x)) (*.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	134
0	42	134
1	71	134
2	149	134
3	308	134
4	599	134
5	1181	134
6	2918	134
7	4665	134
8	6348	134
0	8430	132

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
#s(approx (* (+ y x) (- y x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(-.f64 y x)
#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
(+.f64 y y)
y
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
(.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x)
(.f64 (.f64 y y) #s(literal -2 binary64))
(*.f64 y y)
y
#s(literal -2 binary64)
x

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

localize57.0ms (2.2%)

Memory

23.3MiB live, 23.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 (.f64 y y) #s(literal -2 binary64))
accuracy	6.635725990976226	(.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x)
accuracy	62.15789021295702	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	62.44952079793311	#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	62.036094160792196	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
accuracy	0	(+.f64 y y)
accuracy	61.16899253141535	#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
accuracy	0	(neg.f64 x)
accuracy	0.015625	(.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))
accuracy	25.686221985782648	(/.f64 #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
accuracy	31.407445308949672	#s(approx (* (+ y x) (- y x)) (*.f64 (neg.f64 x) x))

Samples

40.0ms

256×

valid

Compiler

Compiled 198 to 46 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 14.0ms (53.6% of total)

ival-div: 5.0ms (19.2% of total)

ival-add: 4.0ms (15.3% of total)

ival-sub: 1.0ms (3.8% of total)

exact: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

series19.0ms (0.7%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

15 → 276

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))) (patch (/.f64 #s(approx ( (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (patch #s(approx ( (+ y x) (- y x)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y x) (* -2 y)) (+.f64 y y)) (patch #s(approx (* (+ y x) (* -2 y)) (+.f64 y y)) #<representation binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 #s(literal -2 binary64) y)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) y) (patch (.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) x) (patch (.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal -2 binary64)) (patch (.f64 (.f64 y y) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)) (patch (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (* (neg x) x) (neg x) (* (+ y x) (* -2 y)) (+ y y) (/ (+ x y) (+ y y)) (* -2 y) (* (+ y x) (* -2 y)) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (* (* y y) -2) x) (* (* y y) -2) (* y y) (* (* 2 y) (- y x)))
2.0ms	y	@	inf	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (* (neg x) x) (neg x) (* (+ y x) (* -2 y)) (+ y y) (/ (+ x y) (+ y y)) (* -2 y) (* (+ y x) (* -2 y)) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (* (* y y) -2) x) (* (* y y) -2) (* y y) (* (* 2 y) (- y x)))
2.0ms	x	@	inf	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (* (neg x) x) (neg x) (* (+ y x) (* -2 y)) (+ y y) (/ (+ x y) (+ y y)) (* -2 y) (* (+ y x) (* -2 y)) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (* (* y y) -2) x) (* (* y y) -2) (* y y) (* (* 2 y) (- y x)))
2.0ms	y	@	0	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (* (neg x) x) (neg x) (* (+ y x) (* -2 y)) (+ y y) (/ (+ x y) (+ y y)) (* -2 y) (* (+ y x) (* -2 y)) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (* (* y y) -2) x) (* (* y y) -2) (* y y) (* (* 2 y) (- y x)))
2.0ms	x	@	0	((/ (* (+ y x) (- y x)) (* (* 2 y) (- y x))) (* (+ y x) (- y x)) (* (neg x) x) (neg x) (* (+ y x) (* -2 y)) (+ y y) (/ (+ x y) (+ y y)) (* -2 y) (* (+ y x) (* -2 y)) (/ 1/2 y) (/ (+ x y) (+ y y)) (* (* (* y y) -2) x) (* (* y y) -2) (* y y) (* (* 2 y) (- y x)))

simplify119.0ms (4.6%)

Memory

36.6MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1702
1	347	1626
2	930	1614
3	3375	1590
0	8235	1523

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

rewrite44.0ms (1.7%)

Memory

9.1MiB live, 9.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	117
0	42	117
1	127	117
0	880	117

Stop Event

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

Counts

15 → 211

Calls

Call 1

Inputs
(/.f64 #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
#s(approx (* (+ y x) (- y x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
(.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x)
(.f64 (.f64 y y) #s(literal -2 binary64))
(*.f64 y y)
(.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))

Outputs
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eval54.0ms (2.1%)

Memory: 38.8MiB live, 38.8MiB allocated
Compiler: Compiled 4 761 to 471 computations (90.1% saved)

prune27.0ms (1%)

Memory

25.4MiB live, 25.4MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	486	1	487
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	487	11	498

Accuracy

100.0%

Counts

498 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(/.f64 #s(approx (* (+ y x) (- y x)) (.f64 (neg.f64 x) x)) #s(approx ( (* 2 y) (- y x)) (.f64 (.f64 y x) #s(literal -2 binary64))))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	48.0%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	47.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	3.9%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	2.8%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
✓	3.1%	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
✓	53.6%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	3.5%	#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
✓	3.1%	#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
✓	3.4%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))

Compiler

Compiled 200 to 119 computations (40.5% saved)

regimes19.0ms (0.7%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
6.0ms	x
5.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes14.0ms (0.5%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))

Outputs

#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))

Calls

3 calls:

5.0ms	y
4.0ms	x
4.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
76.4%	3	`x`
80.5%	3	`y`
98.0%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.2%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

Outputs

#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

Calls

1 calls:

4.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
97.9%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.5%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total -33.8b remaining (-113.8%)

Threshold costs -33.8b (-113.8%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y x) (* -2 y)) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 y y) #s(literal -2 binary64)))
#s(approx (* (+ y x) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) x))
(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
53.6%	1	`x`
53.6%	1	`y`
53.6%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5361387419167335	13023.15773299669
0.0ms	-553.6731138932414	0.4999992005160862

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5361387419167335	13023.15773299669
0.0ms	-553.6731138932414	0.4999992005160862

Compiler

Compiled 10 to 10 computations (0% saved)

simplify28.0ms (1.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	133
1	33	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -500 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -500 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -500 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal -500 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -500 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal -500 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

soundness445.0ms (17.1%)

Memory

3.9MiB live, 3.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
0	29	77
1	119	77
0	823	77
0	34	240
1	95	240
2	195	240
3	532	240
4	2484	240
5	4892	240
6	6155	240
7	7112	240
8	7634	240
0	8014	222

Stop Event

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

Compiler

Compiled 102 to 54 computations (47.1% saved)

preprocess51.0ms (2%)

Memory: 38.6MiB live, 38.6MiB allocated
Compiler: Compiled 182 to 70 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.4%)

sample451.0ms (17.4%)

explain57.0ms (2.2%)

preprocess84.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.6%)

series5.0ms (0.2%)

simplify92.0ms (3.5%)

rewrite37.0ms (1.4%)

eval9.0ms (0.4%)

prune6.0ms (0.2%)

simplify96.0ms (3.7%)

localize39.0ms (1.5%)

series15.0ms (0.6%)

simplify87.0ms (3.3%)

rewrite39.0ms (1.5%)

eval53.0ms (2%)

prune21.0ms (0.8%)

simplify85.0ms (3.3%)

localize50.0ms (1.9%)

series21.0ms (0.8%)

simplify123.0ms (4.7%)

rewrite53.0ms (2%)

eval100.0ms (3.9%)

prune41.0ms (1.6%)

simplify112.0ms (4.3%)

localize57.0ms (2.2%)

series19.0ms (0.7%)

simplify119.0ms (4.6%)

rewrite44.0ms (1.7%)

eval54.0ms (2.1%)

prune27.0ms (1%)

regimes19.0ms (0.7%)

regimes14.0ms (0.5%)

regimes5.0ms (0.2%)

regimes13.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (1.1%)

soundness445.0ms (17.1%)

preprocess51.0ms (2%)

end0.0ms (0%)

Profiling