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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.5%)

Memory

-11.9MiB live, 24.8MiB 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)

sample469.0ms (12.9%)

Memory

-2.2MiB live, 712.6MiB allocated

Samples

277.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-div: 66.0ms (52.3% of total)

ival-add: 51.0ms (40.4% of total)

ival-true: 6.0ms (4.8% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

explain41.0ms (1.1%)

Memory

22.8MiB live, 61.2MiB allocated

FPErrors

Click to see full error table

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

17.0ms

512×

valid

Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions

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

ival-div: 4.0ms (56.1% of total)

ival-add: 3.0ms (42.1% of total)

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

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

preprocess26.0ms (0.7%)

Memory

-6.0MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Rules

134×	`times-frac`
80×	`associate-l`
70×	`unsub-neg`
70×	`associate-/r*`
58×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
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 y x))

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`lower-/.f32`

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

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

localize16.0ms (0.4%)

Memory

-19.3MiB live, 18.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (58.4% of total)

ival-add: 1.0ms (29.2% of total)

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

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

series3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#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>) () ())

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

Calls

12 calls:

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

simplify357.0ms (9.8%)

Memory

22.7MiB live, 215.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 270×	`lower-fma.f64`
10 270×	`lower-fma.f32`
3 632×	`lower-*.f64`
3 632×	`lower-*.f32`
2 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	369
1	369	348
2	945	318
3	3730	316
0	8248	303

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite577.0ms (15.9%)

Memory

-9.6MiB live, 323.6MiB allocated

Rules

5 282×	`lower-/.f32`
5 280×	`lower-/.f64`
3 946×	`lower-fma.f64`
3 946×	`lower-fma.f32`
3 770×	`lower-*.f64`

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	8683	8

Stop Event

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

Counts

2 → 315

Calls

Call 1

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

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

eval58.0ms (1.6%)

Memory: -3.0MiB live, 74.4MiB allocated
Compiler: Compiled 10 456 to 1 041 computations (90% saved)

prune94.0ms (2.6%)

Memory

-22.6MiB live, 98.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	353	4	357
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	353	5	358

Accuracy

100.0%

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
✓	100.0%	(/.f64 x (+.f64 y x))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
▶	50.7%	#s(approx (/ x (+ y x)) (/.f64 x y))
▶	50.3%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify8.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x y))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ y x)) (/.f64 x y))
cost-diff	0	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Rules

56×	`lower-*.f64`
56×	`lower-*.f32`
44×	`lower-/.f32`
32×	`lower-/.f64`
22×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
0	21	57
1	29	57
2	47	57
3	81	57
4	116	57
5	124	57
6	128	57
0	128	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1.6%)

Memory

6.2MiB live, 45.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x y)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy	0.12890625	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(+.f64 x y)
accuracy	0.0234375	(/.f64 (+.f64 x y) x)
accuracy	0.35476736877698817	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
accuracy	0	(/.f64 x y)
accuracy	31.541497126128615	#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy	31.786352348177513	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Samples

24.0ms

256×

valid

Compiler

Compiled 59 to 14 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 11.0ms (76.3% of total)

ival-add: 3.0ms (20.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

simplify336.0ms (9.2%)

Memory

7.8MiB live, 315.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 776×	`lower-fma.f64`
12 776×	`lower-fma.f32`
3 812×	`lower-*.f64`
3 812×	`lower-*.f32`
1 886×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1842
1	574	1672
2	1419	1538
3	5544	1530
0	8121	1454

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 198

Calls

Call 1

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

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

rewrite207.0ms (5.7%)

Memory

-60.2MiB live, 253.0MiB allocated

Rules

2 856×	`lower-*.f64`
2 856×	`lower-*.f32`
2 398×	`lower-/.f32`
2 386×	`lower-/.f64`
2 164×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	21	45
1	96	45
2	612	45
3	6680	45
0	8662	45

Stop Event

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

Counts

9 → 688

Calls

Call 1

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

Outputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(/.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x x)) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y (-.f64 y x))))
(+.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y (-.f64 y x))) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y y)) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x (-.f64 x y))))
(+.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x (-.f64 x y))) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y y)))
(+.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) x) (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) y) (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 x)))
(+.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (.f64 y y) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (.f64 (.f64 y y) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(+.f64 (.f64 x (/.f64 x (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 (neg.f64 y) (/.f64 x (.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (.f64 y (/.f64 x (.f64 (+.f64 x y) (-.f64 y x)))) (.f64 (neg.f64 x) (/.f64 x (.f64 (+.f64 x y) (-.f64 y x)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 y x))))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (+.f64 x y))) (.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 (neg.f64 x) y)))
(fma.f64 x (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (neg.f64 y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 y (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) (.f64 (neg.f64 x) (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 y y) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x x) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y y) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 x (-.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y (-.f64 y x)) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 x x)))
(fma.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x (-.f64 x y)) (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 y y)))
(fma.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) x (.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) y (.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 x)))
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) y)))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 x (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 y x)))
(/.f64 (.f64 x (fma.f64 x x (.f64 y (-.f64 y x)))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))
(/.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (.f64 x (.f64 (+.f64 x y) (-.f64 y x))) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)))
(/.f64 (.f64 x (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x))) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 x (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 x (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 x (fma.f64 (.f64 x (-.f64 x y)) (.f64 (.f64 x x) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (-.f64 x y)) (-.f64 (.f64 x (-.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 x (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 y y (.f64 x (-.f64 y x))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y y (*.f64 x (-.f64 y x)))))
(/.f64 (.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(/.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (-.f64 x y)) (.f64 (.f64 x x) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (-.f64 x y)) (-.f64 (.f64 x (-.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 y y (.f64 x (-.f64 y x))))) (fma.f64 y y (.f64 x (-.f64 y x))))
(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 y x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
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(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (neg.f64 x) (-.f64 x y)) (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 y (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 x (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 x (-.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y (-.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x (-.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) y (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 x)))
(fma.f64 (/.f64 x (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 x (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y)))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)))
(/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))
(/.f64 (fma.f64 x (-.f64 y x) (.f64 y (neg.f64 y))) (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (-.f64 x y)) (.f64 (.f64 x x) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (-.f64 x y)) (-.f64 (.f64 x (-.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x)) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 y y (.f64 x (-.f64 y x)))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y y (.f64 x (-.f64 y x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x))) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (-.f64 x y)) (.f64 (.f64 x x) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (-.f64 x y)) (-.f64 (.f64 x (-.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 y y (.f64 x (-.f64 y x))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y y (*.f64 x (-.f64 y x)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (-.f64 x y)) (.f64 (.f64 x x) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (-.f64 x y)) (-.f64 (.f64 x (-.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 y y (.f64 x (-.f64 y x))))) (fma.f64 y y (.f64 x (-.f64 y x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (-.f64 y x)))) (+.f64 x y))
(/.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))))
(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))))
(.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 y x) (*.f64 y (neg.f64 y))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (fma.f64 x (-.f64 y x) (*.f64 y (neg.f64 y))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)))
(.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x)))
(.f64 (/.f64 (-.f64 y x) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x)))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))
(.f64 (/.f64 (-.f64 y x) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 y x)))) (fma.f64 x x (*.f64 y y)))
(.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (*.f64 y y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

eval172.0ms (4.7%)

Memory: 16.5MiB live, 286.2MiB allocated
Compiler: Compiled 21 361 to 1 860 computations (91.3% saved)

prune169.0ms (4.7%)

Memory

-9.4MiB live, 232.1MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 015	2	1 017
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1 017	5	1 022

Accuracy

100.0%

Counts

1 022 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
▶	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)))
✓	50.7%	#s(approx (/ x (+ y x)) (/.f64 x y))
✓	50.3%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify7.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(+.f64 (/.f64 y x) #s(literal 1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)))

Rules

44×	`lower-*.f32`
42×	`lower-*.f64`
32×	`lower-/.f32`
26×	`lower-/.f64`
20×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	17	47
1	32	35
2	60	35
3	91	35
4	102	35
0	102	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.9%)

Memory

12.4MiB live, 49.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(+.f64 (/.f64 y x) #s(literal 1 binary64))
accuracy	0.35476736877698817	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x y)
accuracy	0.21712875976844204	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y))
accuracy	0.35476736877698817	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)))

Samples

22.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 9.0ms (63.3% of total)

ival-add: 3.0ms (21.1% of total)

ival-mult: 2.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ 1 (+ (/ y x) 1))
0.0ms	y	@	-inf	(/ y x)
0.0ms	y	@	0	(+ (/ y x) 1)
0.0ms	x	@	-inf	(/ y x)
0.0ms	y	@	0	(/ y x)

simplify261.0ms (7.2%)

Memory

-6.2MiB live, 300.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 996×	`lower-fma.f64`
10 996×	`lower-fma.f32`
3 830×	`lower-*.f64`
3 830×	`lower-*.f32`
2 286×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	990
1	380	948
2	961	888
3	3808	884
0	8405	858

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 150

Calls

Call 1

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

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

rewrite221.0ms (6.1%)

Memory

3.4MiB live, 371.4MiB allocated

Rules

3 926×	`lower-fma.f64`
3 926×	`lower-fma.f32`
3 914×	`lower-*.f32`
3 912×	`lower-*.f64`
3 222×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
0	17	41
1	81	29
2	576	29
0	9261	29

Stop Event

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

Counts

7 → 673

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 x x)) (.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))) (.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) x) (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 (.f64 y y) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))
(+.f64 (.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (.f64 (.f64 x x) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))
(+.f64 (.f64 x (/.f64 x (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 (neg.f64 y) (/.f64 x (.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
(+.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 y x) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) (/.f64 x (neg.f64 (+.f64 x y))))
(fma.f64 x (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (neg.f64 y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 x x) (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 x x) (.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x)) (.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) x (.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (/.f64 x (+.f64 x y))))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x y)))
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(.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (neg.f64 x))))
(.f64 (fma.f64 x (neg.f64 x) (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (-.f64 x y)))))
(.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 x y)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (+.f64 x y)))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 y (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))))
(.f64 (neg.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 x y)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) x) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(.f64 (.f64 (+.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y #s(literal -1 binary64))))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) x)
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1 binary64)))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(.f64 (.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(.f64 (.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

eval86.0ms (2.4%)

Memory: 16.9MiB live, 203.3MiB allocated
Compiler: Compiled 16 246 to 1 230 computations (92.4% saved)

prune71.0ms (2%)

Memory

4.8MiB live, 166.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	823	0	823
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	823	5	828

Accuracy

100.0%

Counts

828 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
✓	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)))
✓	50.7%	#s(approx (/ x (+ y x)) (/.f64 x y))
✓	50.3%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 82 to 40 computations (51.2% saved)

regimes84.0ms (2.3%)

Memory

-24.3MiB live, 15.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	(/.f64 x (+.f64 y x))
3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.3%	3	`x`
75.8%	3	`y`
97.5%	2	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`y`
50.3%	1	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0021362356956031972	0.5846404694793993

Compiler

Compiled 10 to 9 computations (10% saved)

simplify6.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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 y x))

(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))

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

Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

soundness203.0ms (5.6%)

Memory

-48.5MiB live, 127.4MiB allocated

Rules

10 270×	`lower-fma.f64`
10 270×	`lower-fma.f32`
3 632×	`lower-*.f64`
3 632×	`lower-*.f32`
2 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	369
1	369	348
2	945	318
3	3730	316
0	8248	303

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 34 to 18 computations (47.1% saved)

preprocess24.0ms (0.7%)

Memory: 24.7MiB live, 60.7MiB allocated
Compiler: Compiled 60 to 26 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	31
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	31
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%)

analyze19.0ms (0.5%)

sample469.0ms (12.9%)

explain41.0ms (1.1%)

preprocess26.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

simplify357.0ms (9.8%)

rewrite577.0ms (15.9%)

eval58.0ms (1.6%)

prune94.0ms (2.6%)

simplify8.0ms (0.2%)

localize58.0ms (1.6%)

series10.0ms (0.3%)

simplify336.0ms (9.2%)

rewrite207.0ms (5.7%)

eval172.0ms (4.7%)

prune169.0ms (4.7%)

simplify7.0ms (0.2%)

localize32.0ms (0.9%)

series7.0ms (0.2%)

simplify261.0ms (7.2%)

rewrite221.0ms (6.1%)

eval86.0ms (2.4%)

prune71.0ms (2%)

regimes84.0ms (2.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness203.0ms (5.6%)

preprocess24.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	31
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