Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze17.0ms (0.4%)

Memory

4.6MiB live, 43.3MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample603.0ms (15.4%)

Memory

48.2MiB live, 1 096.4MiB allocated

Samples

396.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-add: 111.0ms (56.9% of total)

ival-div: 74.0ms (38% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 4.0ms (2.1% of total)

Bogosity

explain59.0ms (1.5%)

Memory

-4.1MiB live, 32.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

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

ival-div: 4.0ms (54.6% of total)

ival-add: 3.0ms (41% of total)

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

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

preprocess29.0ms (0.8%)

Memory

-10.5MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

4.0MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

-20.0MiB live, 22.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(/.f64 x (+.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-div: 2.0ms (53.3% of total)

ival-add: 2.0ms (53.3% of total)

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

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

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify141.0ms (3.6%)

Memory

-10.6MiB live, 184.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	360
1	369	342
2	945	318
3	3728	316
0	8239	303

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
x
(+ x y)
(+ x y)
(+ x y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))

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

rewrite147.0ms (3.8%)

Memory

-13.2MiB live, 176.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	28	8
2	189	8
3	1838	8
0	8647	8

Stop Event

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

Counts

2 → 316

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval40.0ms (1%)

Memory: 38.4MiB live, 73.9MiB allocated
Compiler: Compiled 8 228 to 1 058 computations (87.1% saved)

prune11.0ms (0.3%)

Memory

-9.1MiB live, 25.8MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	353	5	358
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	353	6	359

Accuracy

100.0%

Counts

359 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.1%	(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)))
▶	60.0%	(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))
✓	100.0%	(/.f64 x (+.f64 x y))
▶	53.3%	#s(approx (/ x (+ x y)) (/.f64 x y))
▶	48.0%	#s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	48.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 123 to 72 computations (41.5% saved)

simplify259.0ms (6.6%)

Memory

2.5MiB live, 221.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	64	(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	128	(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) x)
cost-diff	1024	(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ x y)) (/.f64 x y))
cost-diff	0	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))
cost-diff	128	(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))
cost-diff	3392	(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	189
0	44	163
1	100	163
2	274	163
3	761	161
4	3109	160
5	7783	160
0	8012	157

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (3%)

Memory

16.0MiB live, 192.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.046875	(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.1015625	(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
accuracy	33.249782195157685	#s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.00390625	(*.f64 (-.f64 x y) x)
accuracy	25.132754192308518	(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0	(/.f64 x y)
accuracy	29.88358174090908	#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy	32.91700642209191	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 x (+.f64 y x))
accuracy	0.07421875	(/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))
accuracy	0.1015625	(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)))
accuracy	7.014449900894699	(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))

Samples

47.0ms

256×

valid

Compiler

Compiled 348 to 50 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 10.0ms (30.3% of total)

ival-mult: 9.0ms (27.3% of total)

ival-add: 7.0ms (21.2% of total)

ival-neg: 5.0ms (15.1% of total)

ival-sub: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (1%)

Memory

-6.5MiB live, 70.7MiB allocated

Counts

17 → 408

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (patch #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (patch #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (patch #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (patch #s(approx (/ x (+ x y)) (neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (/ x (+ y x)) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (neg (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1)) (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1) (/ x (+ x y)) (/ y x) (+ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1))
5.0ms	x	@	-inf	((+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (/ x (+ y x)) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (neg (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1)) (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1) (/ x (+ x y)) (/ y x) (+ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1))
4.0ms	y	@	inf	((+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (/ x (+ y x)) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (neg (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1)) (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1) (/ x (+ x y)) (/ y x) (+ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1))
4.0ms	y	@	-inf	((+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (/ x (+ y x)) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (neg (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1)) (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1) (/ x (+ x y)) (/ y x) (+ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1))
3.0ms	y	@	0	((+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (/ x (+ y x)) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (neg (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1)) (+ (* (/ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1)) -1) (/ x (+ x y)) (/ y x) (+ y x) (+ (* (/ y x) (+ -1 (/ y x))) 1))

simplify143.0ms (3.7%)

Memory

-10.9MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	5701
1	1979	3903
2	7910	3787
0	8316	3711

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 399

Calls

Call 1

Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* -1 (/ y x))
(* y (- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x)))
(* y (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x)))
(/ 1 x)
(+ (/ 1 x) (/ (pow y 2) (pow x 3)))
(+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(pow x 2)
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
-1
(- (/ y x) 1)
(- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)
(- (* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))) 1)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(/ x y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (* x (+ x (* -1 x))) y))) y)
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2)))))) (/ (* (pow x 2) (+ x (* -1 x))) (pow y 2))) y)
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (pow y 3)) (+ (/ (* (pow x 3) (+ x (* -1 x))) (pow y 3)) (/ (pow x 3) (pow y 2)))))))) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 2)) (+ (/ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 3)) (/ (pow x 4) (pow y 3))))) y)
(/ x y)
(/ (+ x (/ (* x (+ x (* -1 x))) y)) y)
(/ (+ x (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) y)
(/ (+ x (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (pow y 3)) (+ (/ (* (pow x 3) (+ x (* -1 x))) (pow y 3)) (/ (pow x 3) (pow y 2))))))) y)
(* -1 (/ x (pow y 2)))
(/ (+ (* -1 x) (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2))
(/ (- (+ (* -1 x) (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2))
(/ (- (+ (* -1 x) (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* -1 (* x y))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (/ (pow y 3) (pow x 3)))
(* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))
(* (pow y 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow x 3)))))
(* (pow y 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow x 3)))))
(/ (pow y 3) (pow x 3))
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (pow x 3))) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (pow x 3))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3)))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(/ (pow y 2) (pow x 2))
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (pow x 2)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -1 (pow x 2)) (+ (/ (* x (pow (+ x (* -1 x)) 2)) y) (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (/ (pow x 3) y)))) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y) (+ (/ (* (pow x 2) (pow (+ x (* -1 x)) 2)) y) (+ (/ (* (pow x 3) (+ x (* -1 x))) y) (/ (pow x 4) y)))) (+ (* x (pow (+ x (* -1 x)) 2)) (+ (* (pow x 2) (+ x (* -1 x))) (pow x 3)))) y)) (* -1 (pow x 2))) (* x (+ x (* -1 x)))) y))) y))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (* x (+ x (* -1 x))) y)) y))
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Outputs
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(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
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1
#s(literal 1 binary64)
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rewrite199.0ms (5.1%)

Memory

2.8MiB live, 238.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	165
0	44	139
1	205	139
2	1988	139
0	8769	139

Stop Event

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

Counts

17 → 1 092

Calls

Call 1

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

Outputs
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eval305.0ms (7.8%)

Memory: 35.3MiB live, 504.5MiB allocated
Compiler: Compiled 62 667 to 4 603 computations (92.7% saved)

prune42.0ms (1.1%)

Memory

-7.6MiB live, 119.3MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2 205	3	2 208
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	2 208	6	2 214

Accuracy

100.0%

Counts

2 214 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)))
▶	100.0%	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
▶	32.2%	(/.f64 (.f64 (-.f64 x y) x) #s(approx ( (- x y) (+ y x)) (*.f64 (neg.f64 y) y)))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	53.3%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	48.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 56 to 40 computations (28.6% saved)

simplify143.0ms (3.7%)

Memory

-2.1MiB live, 110.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y))
cost-diff	128	(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))
cost-diff	192	(fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)))
cost-diff	256	(/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(*.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))
cost-diff	1408	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
cost-diff	0	#s(approx (* (- x y) (+ y x)) (*.f64 (neg.f64 y) y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) x)
cost-diff	0	(/.f64 (.f64 (-.f64 x y) x) #s(approx ( (- x y) (+ y x)) (*.f64 (neg.f64 y) y)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	175
0	41	167
1	77	167
2	161	167
3	383	165
4	1252	164
5	4284	164
0	8194	164

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (2.5%)

Memory

-13.1MiB live, 85.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)))
accuracy	0.12109375	(/.f64 (/.f64 (neg.f64 x) y) y)
accuracy	7.014449900894699	(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))
accuracy	30.121631892845688	#s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y))
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
accuracy	0.01171875	(/.f64 x (+.f64 y x))
accuracy	8.417308827192045	(*.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(*.f64 (-.f64 x y) x)
accuracy	25.132754192308518	(/.f64 (.f64 (-.f64 x y) x) #s(approx ( (- x y) (+ y x)) (*.f64 (neg.f64 y) y)))
accuracy	27.752648785719668	#s(approx (* (- x y) (+ y x)) (*.f64 (neg.f64 y) y))

Samples

43.0ms

256×

valid

Compiler

Compiled 297 to 40 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 10.0ms (33.2% of total)

ival-mult: 9.0ms (29.9% of total)

ival-add: 7.0ms (23.3% of total)

ival-sub: 2.0ms (6.6% of total)

ival-neg: 2.0ms (6.6% of total)

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

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

series22.0ms (0.6%)

Memory

2.8MiB live, 38.3MiB allocated

Counts

14 → 324

Calls

Call 1

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

Outputs
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#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) (patch (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x))) (taylor 0 y) (#s(alt (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) (patch (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (+ (/ 1 x) (/ (pow y 2) (pow x 3))) (taylor 0 y) (#s(alt #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) (patch #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) (patch #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) x) #s(approx ( (- x y) (+ y x)) (.f64 (neg.f64 y) y))) (patch (/.f64 (.f64 (-.f64 x y) x) #s(approx (* (- x y) (+ y x)) (*.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 y) (* 2 y)) x))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (/ (+ (* y (+ y (* -1 y))) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)) (* 2 y))) x))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (+ (* (pow y 2) (+ y (* -1 y))) (pow y 3)))) x)) (+ (* y (+ y (* -1 y))) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)) (* 2 y))) x))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (patch (fma.f64 #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) (patch (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) (patch (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x)) (* y (+ y (* -1 y)))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) (patch (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x)) (* y (+ y (* -1 y)))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) (patch (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) (patch #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) (patch #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (+ (/ (pow y 2) x) (/ (pow (+ y (* -1 y)) 2) x)) (+ y (* -1 y))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) (patch #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x) (/ (* (pow y 2) (+ y (* -1 y))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)) (+ y (* -1 y))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) (patch #s(approx (/ (/ x (+ y x)) (- x y)) (/.f64 (/.f64 (neg.f64 x) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) y) y) (patch (/.f64 (/.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) y) y) (patch (/.f64 (/.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) y) y) (patch (/.f64 (/.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) y) y) (patch (/.f64 (/.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (- x y)) (+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (neg y) (/ (/ (neg x) y) y))
2.0ms	x	@	inf	((/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (- x y)) (+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (neg y) (/ (/ (neg x) y) y))
1.0ms	y	@	inf	((/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (- x y)) (+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (neg y) (/ (/ (neg x) y) y))
1.0ms	x	@	-inf	((/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (- x y)) (+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (neg y) (/ (/ (neg x) y) y))
1.0ms	y	@	0	((/ (* (- x y) x) (* (- x y) (+ y x))) (* (- x y) x) (- x y) (* (- x y) (+ y x)) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)) (+ y x) (/ (/ x (+ y x)) (- x y)) (+ (* (/ (/ x (+ y x)) (- x y)) x) (* (/ (/ x (+ y x)) (- x y)) (neg y))) (* (/ (/ x (+ y x)) (- x y)) (neg y)) (/ (/ x (+ y x)) (- x y)) (neg y) (/ (/ (neg x) y) y))

simplify105.0ms (2.7%)

Memory

6.2MiB live, 89.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	632	4007
1	2020	3088
2	7879	3016
0	8307	2920

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 312

Calls

Call 1

Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(pow x 2)
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
x
(+ x (* -2 y))
(+ x (* y (- (* 2 (/ y x)) 2)))
(+ x (* y (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 2)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
x
(+ x y)
(+ x y)
(+ x y)
(/ 1 x)
(+ (/ 1 x) (/ (pow y 2) (pow x 3)))
(+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* -1 (/ y x))
(* y (- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x)))
(* y (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x)))
(/ 1 x)
(+ (/ 1 x) (/ (pow y 2) (pow x 3)))
(+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* -1 (* x y))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* -1 x)
(- (+ (* -1 x) (/ (pow x 2) y)) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (+ (* -1 (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2))) (/ (pow x 2) y))) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (+ (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 3)) (/ (pow x 2) y))) (+ (* -1 (/ (pow x 2) y)) (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 (/ x (pow y 2)))
(/ (+ (* -1 x) (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2))
(/ (- (+ (* -1 x) (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2))
(/ (- (+ (* -1 x) (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ x y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (* x (+ x (* -1 x))) y))) y)
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2)))))) (/ (* (pow x 2) (+ x (* -1 x))) (pow y 2))) y)
(/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (pow y 3)) (+ (/ (* (pow x 3) (+ x (* -1 x))) (pow y 3)) (/ (pow x 3) (pow y 2)))))))) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 2)) (+ (/ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 3)) (/ (pow x 4) (pow y 3))))) y)
(/ x y)
(/ (+ x (/ (* x (+ x (* -1 x))) y)) y)
(/ (+ x (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) y)
(/ (+ x (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (pow y 3)) (+ (/ (* (pow x 3) (+ x (* -1 x))) (pow y 3)) (/ (pow x 3) (pow y 2))))))) y)
(* -1 (/ x (pow y 2)))
(/ (+ (* -1 x) (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2))
(/ (- (+ (* -1 x) (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2))
(/ (- (+ (* -1 x) (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 x)
(+ (* -1 x) (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (* x (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (pow x 2))) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (* x (- (* -1 (pow x 2)) (pow x 2))))) y)) (* -1 (pow x 2))) (pow x 2)) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ x (pow y 2)))
(/ (+ (* -1 x) (/ (* x (+ x (* -1 x))) y)) (pow y 2))
(/ (+ (* -1 x) (* -1 (/ (- (+ (/ (* x (pow (+ x (* -1 x)) 2)) y) (/ (pow x 3) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y) (/ (* (pow x 3) (+ x (* -1 x))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (pow x 2)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -1 (pow x 2)) (+ (/ (* x (pow (+ x (* -1 x)) 2)) y) (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (/ (pow x 3) y)))) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y) (+ (/ (* (pow x 2) (pow (+ x (* -1 x)) 2)) y) (+ (/ (* (pow x 3) (+ x (* -1 x))) y) (/ (pow x 4) y)))) (+ (* x (pow (+ x (* -1 x)) 2)) (+ (* (pow x 2) (+ x (* -1 x))) (pow x 3)))) y)) (* -1 (pow x 2))) (* x (+ x (* -1 x)))) y))) y))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (* x (+ x (* -1 x))) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (+ (/ (* x (pow (+ x (* -1 x)) 2)) y) (/ (pow x 3) y)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y) (/ (* (pow x 3) (+ x (* -1 x))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ x (pow y 2)))
(/ (+ (* -1 x) (/ (* x (+ x (* -1 x))) y)) (pow y 2))
(/ (+ (* -1 x) (* -1 (/ (- (+ (/ (* x (pow (+ x (* -1 x)) 2)) y) (/ (pow x 3) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y) (/ (* (pow x 3) (+ x (* -1 x))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (* x y))
(* x (+ x (* -1 y)))
(* x (+ x (* -1 y)))
(* x (+ x (* -1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 x)
(* x (- (* 2 (/ x y)) 1))
(* x (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1))
(* x (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
(* -1 (/ x (pow y 2)))
(* x (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))))
(* x (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 8))) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 y) (/ (pow x 2) (pow y 3))))
(* x (+ (* (pow x 2) (+ (/ 1 (pow y 3)) (/ (pow x 2) (pow y 5)))) (/ 1 y)))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow y 5)) (/ (pow x 2) (pow y 7)))) (/ 1 (pow y 3)))) (/ 1 y)))
(* -1 (/ x (pow y 2)))
(* x (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))))
(* x (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 8))) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (- (+ 1 (* -1 (/ y x))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))) x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (* y (+ y (* -1 y))) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))
(- (+ 1 (+ (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow x 3))) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (* y (+ y (* -1 y))) (pow x 2))))) (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (+ (/ y x) (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3)))))))
(* -1 (/ y x))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) x)) x)
(/ (+ (* -1 y) (+ (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (* y (+ y (* -1 y))) x)))) x)
(/ (+ (* -1 y) (+ (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3)))) (pow x 3))) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (/ (* y (+ y (* -1 y))) x) (/ (* (pow y 3) (+ y (* -1 y))) (pow x 3))))))) x)
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))) x)
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
1
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(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (* -1 y) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (/ (pow y 2) x) (/ (pow (+ y (* -1 y)) 2) x)) (+ y (* -1 y))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x) (/ (* (pow y 2) (+ y (* -1 y))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)) (+ y (* -1 y))) x)) 1) x))
1
(+ 1 (* -1 (/ (+ (* -1 y) (* 2 y)) x)))
(+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (/ (+ (* y (+ y (* -1 y))) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)) (* 2 y))) x)))
(+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (+ (* (pow y 2) (+ y (* -1 y))) (pow y 3)))) x)) (+ (* y (+ y (* -1 y))) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)) (* 2 y))) x)))
(* -1 (/ y x))
(* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)) x)) (* y (+ y (* -1 y)))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) (* (pow y 3) (+ y (* -1 y)))) x)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x)) (* y (+ y (* -1 y)))) x))) x))
(/ 1 x)
(* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (/ (pow y 2) x) (/ (pow (+ y (* -1 y)) 2) x)) (+ y (* -1 y))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x) (/ (* (pow y 2) (+ y (* -1 y))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)) (+ y (* -1 y))) x)) 1) x))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))
(* -1 (/ x (pow y 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 1 binary64))
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(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
x
(+ x (* -2 y))
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(+ x (* y (- (* 2 (/ y x)) 2)))
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(+ x (* y (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 y x) x) (/.f64 #s(literal 2 binary64) x)) y #s(literal -2 binary64)) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
x
(+ x y)
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(+ x y)
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(/ 1 x)
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(+ (/ 1 x) (/ (pow y 2) (pow x 3)))
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(+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x))
(fma.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
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(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x)))
(*.f64 (neg.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) y)
(* y (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x)))
(.f64 (fma.f64 (neg.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 y y) (/.f64 #s(literal -1 binary64) x)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x)))
(.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 y y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (pow y 2) (pow x 3)))
(fma.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x))
(fma.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)))) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ (pow x 2) y)))
(*.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y)
(* y (+ (* -1 x) (/ (pow x 2) y)))
(*.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y)
(* y (+ (* -1 x) (/ (pow x 2) y)))
(*.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 (.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 (.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(literal 1 binary64)) y) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)))) y)
(* -1 x)
(neg.f64 x)
(- (+ (* -1 x) (/ (pow x 2) y)) (* -1 (/ (pow x 2) y)))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) y) x)
(- (+ (* -1 x) (+ (* -1 (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2))) (/ (pow x 2) y))) (* -1 (/ (pow x 2) y)))
(fma.f64 x #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) y) x) y) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) y)))
(- (+ (* -1 x) (+ (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 3)) (/ (pow x 2) y))) (+ (* -1 (/ (pow x 2) y)) (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2))))
(fma.f64 x #s(literal -1 binary64) (fma.f64 x (/.f64 x y) (/.f64 (fma.f64 x x (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) x (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)))) y)
y
(* y (+ 1 (/ x y)))
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1
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(/.f64 (neg.f64 y) x)
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) x)) x)
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(/ (+ (* -1 y) (+ (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (* y (+ y (* -1 y))) x)))) x)
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(/ 1 x)
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(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))) x)
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(/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)
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(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) #s(literal -1 binary64) y) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
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(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
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(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
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x
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)))
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1
#s(literal 1 binary64)
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x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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(/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
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(* -1 (/ y x))
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(* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x))
(/.f64 (neg.f64 y) x)
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) 1) x))
(/.f64 #s(literal 1 binary64) x)
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(/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x) (/ (* (pow y 2) (+ y (* -1 y))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)) (+ y (* -1 y))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)
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(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)

rewrite193.0ms (4.9%)

Memory

-17.2MiB live, 177.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	143
0	41	135
1	146	135
2	1122	131
0	8814	131

Stop Event

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

Counts

14 → 1 044

Calls

Call 1

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

Outputs
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eval327.0ms (8.4%)

Memory: 52.9MiB live, 503.3MiB allocated
Compiler: Compiled 52 672 to 4 567 computations (91.3% saved)

prune50.0ms (1.3%)

Memory

-28.6MiB live, 126.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 911	1	1 912
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1 912	6	1 918

Accuracy

100.0%

Counts

1 918 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
▶	85.8%	(/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y))
✓	32.2%	(/.f64 (.f64 (-.f64 x y) x) #s(approx ( (- x y) (+ y x)) (*.f64 (neg.f64 y) y)))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	53.3%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	48.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 53 to 39 computations (26.4% saved)

simplify109.0ms (2.8%)

Memory

27.1MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
cost-diff	0	(/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	78
0	21	82
1	34	82
2	61	82
3	118	82
4	310	62
5	751	62
6	2143	62
7	5570	62
0	8108	62

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.8%)

Memory

10.7MiB live, 48.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y))
accuracy	0.01171875	(/.f64 x (+.f64 y x))
accuracy	8.417308827192045	(.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy	8.456396729228892	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)

Samples

23.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 125 to 25 computations (80% saved)

Precisions

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

ival-div: 5.0ms (34% of total)

ival-mult: 5.0ms (34% of total)

ival-sub: 2.0ms (13.6% of total)

ival-add: 2.0ms (13.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

-28.8MiB live, 9.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -2 y)) (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 2 (/ y x)) 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 x) (/ (pow x 2) y)) (* -1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 x) (+ (* -1 (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2))) (/ (pow x 2) y))) (* -1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 x) (+ (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 3)) (/ (pow x 2) y))) (+ (* -1 (/ (pow x 2) y)) (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2)))) (taylor inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y))) (taylor -inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (* x (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (pow x 2))) (pow x 2)) y))) (taylor -inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (* x (- (* -1 (pow x 2)) (pow x 2))))) y)) (* -1 (pow x 2))) (pow x 2)) y))) (taylor -inf y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ x y)) 1)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* -1 (/ y x))) (/ y x))) (taylor inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))) (taylor inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))) (taylor inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) (patch (/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 y) y) x)) 1))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((* (- 1 (/ y x)) x) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)))
0.0ms	y	@	inf	((* (- 1 (/ y x)) x) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)))
0.0ms	y	@	-inf	((* (- 1 (/ y x)) x) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)))
0.0ms	y	@	0	((* (- 1 (/ y x)) x) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)))
0.0ms	x	@	inf	((* (- 1 (/ y x)) x) (/ (* (/ x (+ y x)) (- x y)) (- x y)) (* (/ x (+ y x)) (- x y)) (/ x (+ y x)))

simplify173.0ms (4.4%)

Memory

-9.7MiB live, 272.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1091
1	761	987
2	2139	864
3	7114	856
0	8232	801

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

Calls

Call 1

Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
x
(+ x (* -2 y))
(+ x (* y (- (* 2 (/ y x)) 2)))
(+ x (* y (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 2)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* -1 x)
(- (+ (* -1 x) (/ (pow x 2) y)) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (+ (* -1 (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2))) (/ (pow x 2) y))) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (+ (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 3)) (/ (pow x 2) y))) (+ (* -1 (/ (pow x 2) y)) (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 2))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 x)
(+ (* -1 x) (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (* x (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (pow x 2))) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (* x (- (* -1 (pow x 2)) (pow x 2))))) y)) (* -1 (pow x 2))) (pow x 2)) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 x)
(* x (- (* 2 (/ x y)) 1))
(* x (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1))
(* x (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (- (+ 1 (* -1 (/ y x))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (* -1 y) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))

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

rewrite111.0ms (2.9%)

Memory

-33.0MiB live, 87.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	21	50
1	86	50
2	646	50
0	8760	50

Stop Event

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

Counts

4 → 383

Calls

Call 1

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

Outputs
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eval68.0ms (1.8%)

Memory: 36.9MiB live, 107.4MiB allocated
Compiler: Compiled 12 528 to 1 254 computations (90% saved)

prune12.0ms (0.3%)

Memory

-5.8MiB live, 31.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	473	0	473
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	473	6	479

Accuracy

100.0%

Counts

479 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
✓	85.8%	(/.f64 (.f64 (/.f64 x (+.f64 y x)) #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (-.f64 x y))
✓	32.2%	(/.f64 (.f64 (-.f64 x y) x) #s(approx ( (- x y) (+ y x)) (*.f64 (neg.f64 y) y)))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	53.3%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	48.6%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 180 to 79 computations (56.1% saved)

regimes11.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(/.f64 x (+.f64 x y))

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.2%)

Memory

-41.4MiB live, 9.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.0%	3	`x`
77.8%	3	`y`
98.7%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`y`
48.6%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.544653701137697e-11	0.9999991305664037

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify24.0ms (0.6%)

Memory

-5.3MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	17	36

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))

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

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

soundness204.0ms (5.2%)

Memory

7.4MiB live, 134.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	360
1	369	342
2	945	318
3	3728	316
0	8239	303

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess23.0ms (0.6%)

Memory: 13.7MiB live, 52.6MiB allocated
Compiler: Compiled 52 to 30 computations (42.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5

start0.0ms (0%)

analyze17.0ms (0.4%)

sample603.0ms (15.4%)

explain59.0ms (1.5%)

preprocess29.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize24.0ms (0.6%)

series4.0ms (0.1%)

simplify141.0ms (3.6%)

rewrite147.0ms (3.8%)

eval40.0ms (1%)

prune11.0ms (0.3%)

simplify259.0ms (6.6%)

localize118.0ms (3%)

series37.0ms (1%)

simplify143.0ms (3.7%)

rewrite199.0ms (5.1%)

eval305.0ms (7.8%)

prune42.0ms (1.1%)

simplify143.0ms (3.7%)

localize96.0ms (2.5%)

series22.0ms (0.6%)

simplify105.0ms (2.7%)

rewrite193.0ms (4.9%)

eval327.0ms (8.4%)

prune50.0ms (1.3%)

simplify109.0ms (2.8%)

localize31.0ms (0.8%)

series8.0ms (0.2%)

simplify173.0ms (4.4%)

rewrite111.0ms (2.9%)

eval68.0ms (1.8%)

prune12.0ms (0.3%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify24.0ms (0.6%)

soundness204.0ms (5.2%)

preprocess23.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5