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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.7%)

Memory

0.9MiB live, 38.7MiB 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)

sample697.0ms (30.2%)

Memory

-31.2MiB live, 1 179.9MiB allocated

Samples

486.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-add: 210.0ms (74.1% of total)

ival-div: 65.0ms (22.9% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain60.0ms (2.6%)

Memory

-18.7MiB live, 141.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

38.0ms

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 (55.5% of total)

ival-add: 3.0ms (41.6% of total)

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

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

preprocess26.0ms (1.1%)

Memory

11.6MiB live, 49.8MiB 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	35
1	35	25
2	72	25
3	145	25
4	324	25
5	504	25
6	628	25
7	648	25
8	675	25
9	687	25
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

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

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

localize14.0ms (0.6%)

Memory

-4.8MiB live, 34.7MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 3.0ms (71.3% of total)

ival-add: 1.0ms (23.8% of total)

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

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

series4.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

simplify148.0ms (6.4%)

Memory

-4.3MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 194×	`lower-fma.f64`
10 194×	`lower-fma.f32`
3 612×	`lower-*.f64`
3 612×	`lower-*.f32`
2 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite166.0ms (7.2%)

Memory

7.3MiB live, 238.6MiB allocated

Rules

5 260×	`lower-/.f32`
5 258×	`lower-/.f64`
4 086×	`lower-fma.f64`
4 086×	`lower-fma.f32`
3 762×	`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	8647	8

Stop Event

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

Counts

2 → 316

Calls

Call 1

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

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

eval71.0ms (3.1%)

Memory: -32.3MiB live, 98.0MiB allocated
Compiler: Compiled 10 479 to 1 043 computations (90% saved)

prune55.0ms (2.4%)

Memory

-3.5MiB live, 122.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accuracy

100.0%

Counts

359 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
▶	51.1%	#s(approx (/ x (+ x y)) (/.f64 x y))
▶	50.0%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	50.2%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 79 to 50 computations (36.7% saved)

simplify35.0ms (1.5%)

Memory

7.8MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
322×	`times-frac`
240×	`lower-*.f32`
238×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	80
0	24	80
1	32	76
2	43	76
3	75	76
4	102	76
5	122	76
6	138	76
7	160	76
8	191	76
9	243	76
10	317	76
11	466	76
12	760	76
13	888	76
14	934	76
15	964	76
16	969	76
0	969	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (1.6%)

Memory

20.4MiB live, 98.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.01953125	(/.f64 (+.f64 y x) x)
accuracy	0.42318750594511156	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	31.997844044714917	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	0	(/.f64 x y)
accuracy	31.297873987775183	#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy	31.869632123215315	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy	0.1328125	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)

Samples

29.0ms

256×

valid

Compiler

Compiled 70 to 15 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 10.0ms (61.8% of total)

ival-add: 3.0ms (18.5% of total)

ival-mult: 2.0ms (12.4% of total)

ival-sub: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.8%)

Memory

-18.8MiB live, 23.4MiB allocated

Counts

11 → 264

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((* (/ 1 (+ y x)) x) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
2.0ms	x	@	-inf	((* (/ 1 (+ y x)) x) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
1.0ms	y	@	-inf	((* (/ 1 (+ y x)) x) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
1.0ms	y	@	0	((* (/ 1 (+ y x)) x) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
1.0ms	x	@	inf	((* (/ 1 (+ y x)) x) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))

simplify143.0ms (6.2%)

Memory

4.9MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 570×	`lower-fma.f64`
12 570×	`lower-fma.f32`
3 866×	`lower-*.f64`
3 866×	`lower-*.f32`
1 912×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2239
1	593	2046
2	1475	1931
3	5719	1921
0	8209	1830

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 258

Calls

Call 1

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

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

rewrite171.0ms (7.4%)

Memory

21.1MiB live, 173.1MiB allocated

Rules

4 196×	`lower-fma.f64`
4 196×	`lower-fma.f32`
3 504×	`lower-*.f32`
3 502×	`lower-*.f64`
2 938×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	24	61
1	101	61
2	654	61
3	7759	61
0	8606	61

Stop Event

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

Counts

11 → 751

Calls

Call 1

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

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

eval177.0ms (7.7%)

Memory: -49.5MiB live, 185.6MiB allocated
Compiler: Compiled 21 349 to 1 959 computations (90.8% saved)

prune121.0ms (5.2%)

Memory

11.8MiB live, 213.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1 127	0	1 127
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 127	6	1 133

Accuracy

100.0%

Counts

1 133 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
✓	51.1%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	50.0%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	50.2%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 76 to 40 computations (47.4% saved)

regimes9.0ms (0.4%)

Memory

-23.7MiB live, 14.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	y
2.0ms	(/.f64 x (+.f64 x y))

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.3%	3	`x`
79.2%	3	`y`
98.8%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`y`
50.2%	1	`x`
50.2%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.504177593370493e-8	0.9999993840891419

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.504177593370493e-8	0.9999993840891419

Compiler

Compiled 10 to 9 computations (10% saved)

simplify10.0ms (0.4%)

Memory

-25.6MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	23	64
2	31	64
3	37	64
4	42	64
5	44	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

soundness263.0ms (11.4%)

Memory

19.1MiB live, 164.7MiB allocated

Rules

10 194×	`lower-fma.f64`
10 194×	`lower-fma.f32`
3 612×	`lower-*.f64`
3 612×	`lower-*.f32`
2 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 64 to 29 computations (54.7% saved)

preprocess50.0ms (2.2%)

Memory: 19.7MiB live, 70.1MiB allocated
Compiler: Compiled 96 to 32 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	16	80
0	24	80
1	32	76
2	43	76
3	75	76
4	102	76
5	122	76
6	138	76
7	160	76
8	191	76
9	243	76
10	317	76
11	466	76
12	760	76
13	888	76
14	934	76
15	964	76
16	969	76
0	969	76

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

Iter	Nodes	Cost
0	16	80
0	24	80
1	32	76
2	43	76
3	75	76
4	102	76
5	122	76
6	138	76
7	160	76
8	191	76
9	243	76
10	317	76
11	466	76
12	760	76
13	888	76
14	934	76
15	964	76
16	969	76
0	969	76

start0.0ms (0%)

analyze17.0ms (0.7%)

sample697.0ms (30.2%)

explain60.0ms (2.6%)

preprocess26.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.6%)

series4.0ms (0.2%)

simplify148.0ms (6.4%)

rewrite166.0ms (7.2%)

eval71.0ms (3.1%)

prune55.0ms (2.4%)

simplify35.0ms (1.5%)

localize38.0ms (1.6%)

series19.0ms (0.8%)

simplify143.0ms (6.2%)

rewrite171.0ms (7.4%)

eval177.0ms (7.7%)

prune121.0ms (5.2%)

regimes9.0ms (0.4%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.4%)

soundness263.0ms (11.4%)

preprocess50.0ms (2.2%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	16	80
0	24	80
1	32	76
2	43	76
3	75	76
4	102	76
5	122	76
6	138	76
7	160	76
8	191	76
9	243	76
10	317	76
11	466	76
12	760	76
13	888	76
14	934	76
15	964	76
16	969	76
0	969	76