Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample884.0ms (24%)

Memory

0.3MiB live, 602.2MiB allocated

Samples

563.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-div: 146.0ms (52.8% of total)

ival-mult: 61.0ms (22% of total)

ival-add: 53.0ms (19.2% of total)

exact: 8.0ms (2.9% of total)

ival-true: 6.0ms (2.2% of total)

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

Bogosity

explain146.0ms (4%)

Memory

21.9MiB live, 60.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.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

23.0ms

512×

valid

Compiler

Compiled 47 to 25 computations (46.8% saved)

Precisions

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

ival-div: 3.0ms (29.9% of total)

ival-add: 3.0ms (29.9% of total)

ival-mult: 3.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess55.0ms (1.5%)

Memory

-31.3MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`sub-neg`
27×	`distribute-lft-neg-in`
25×	`associate--r+`
23×	`distribute-lft-in`
21×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	56	25
2	170	25
3	283	25
4	388	25
5	445	25
6	456	25
0	7	5
0	11	5
1	21	5
2	23	5
0	23	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

6×	`lower-*.f32`
5×	`lower-*.f64`
4×	`lower-fma.f64`
4×	`lower-fma.f32`
4×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	11	13
1	21	13
2	23	13
0	23	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.5%)

Memory

16.8MiB live, 16.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Samples

11.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (39.9% of total)

ival-mult: 2.0ms (39.9% of total)

ival-add: 1.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 48

Calls

Call 1

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

Inputs

#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())

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

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

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (/ 1 2) (+ x y))
0.0ms	x	@	-inf	(* (/ 1 2) (+ x y))
0.0ms	y	@	inf	(* (/ 1 2) (+ x y))
0.0ms	x	@	inf	(+ x y)
0.0ms	x	@	0	(* (/ 1 2) (+ x y))

simplify318.0ms (8.6%)

Memory

-7.5MiB live, 156.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 832×	`lower-fma.f64`
8 832×	`lower-fma.f32`
1 428×	`lower-+.f64`
1 428×	`lower-+.f32`
1 384×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	168
1	115	168
2	264	168
3	783	168
4	1834	168
5	2668	168
6	3340	168
7	3639	168
8	3801	168
9	3837	168
10	6026	168
0	8686	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite370.0ms (10%)

Memory

6.6MiB live, 199.6MiB allocated

Rules

4 347×	`lower-fma.f64`
4 347×	`lower-fma.f32`
2 228×	`lower-/.f64`
2 228×	`lower-/.f32`
1 981×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	11	9
1	34	9
2	182	9
3	1529	9
0	8403	9

Stop Event

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

Counts

3 → 254

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(.f64 (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.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 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 x x (.f64 (neg.f64 (-.f64 y x)) y)))) (fma.f64 x x (*.f64 (neg.f64 (-.f64 y x)) y)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (.f64 (-.f64 y x) y) (fma.f64 (-.f64 y x) y (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (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 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (neg.f64 (.f64 (+.f64 y x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (.f64 (+.f64 y x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y #s(literal 1/2 binary64))))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal 1/2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))))) (-.f64 x y))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))) (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x y)) (.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x y)) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (neg.f64 (.f64 (*.f64 x x) x)))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
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(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (.f64 (neg.f64 (/.f64 (.f64 y y) (*.f64 (-.f64 x y) (+.f64 y x)))) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (*.f64 (neg.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) (-.f64 x y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (fma.f64 y (+.f64 y x) (.f64 x x))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x)))) (+.f64 y x)))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)) (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (fma.f64 y (+.f64 y x) (.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x)))) (+.f64 y x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 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 x (/.f64 x (-.f64 x y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (*.f64 (-.f64 x y) (+.f64 y x)))) (+.f64 y x)))
(fma.f64 x (/.f64 x (-.f64 x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
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(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x y))) (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x y))) (.f64 (neg.f64 y) (/.f64 y (-.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)))))
(-.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 (.f64 x x) 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 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 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) (.f64 y y)) (.f64 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) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) 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 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 x y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 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) (.f64 y y)) (.f64 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 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(-.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) (neg.f64 (+.f64 y x)))
(-.f64 x (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x)))) (+.f64 y x)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 x y)

eval54.0ms (1.5%)

Memory: -4.7MiB live, 71.7MiB allocated
Compiler: Compiled 8 488 to 791 computations (90.7% saved)

prune84.0ms (2.3%)

Memory

6.0MiB live, 88.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	293	3	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	294	3	297

Accuracy

100.0%

Counts

297 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
▶	51.1%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
▶	49.7%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify13.0ms (0.3%)

Memory

-32.8MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

6×	`lower-*.f32`
4×	`lower-fma.f64`
4×	`lower-fma.f32`
4×	`lower-+.f32`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	18	39
1	25	39
2	26	39
0	26	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (1.4%)

Memory

15.2MiB live, 54.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	31.265303177340627	#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	32.16218127241832	#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))

Samples

40.0ms

256×

valid

Compiler

Compiled 37 to 14 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 27.0ms (84.2% of total)

ival-div: 2.0ms (6.2% of total)

ival-add: 2.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.0MiB live, 7.9MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x 1/2)
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	x	@	inf	(* x 1/2)
0.0ms	y	@	-inf	(* y 1/2)
0.0ms	y	@	inf	(* y 1/2)

simplify312.0ms (8.5%)

Memory

-21.1MiB live, 222.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 820×	`lower-fma.f64`
5 820×	`lower-fma.f32`
1 304×	`lower-*.f64`
1 304×	`lower-*.f32`
1 086×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	456
1	115	456
2	264	456
3	783	456
4	1827	456
5	2659	456
6	3330	456
7	3631	456
8	3795	456
9	3831	456
10	6052	456
0	8002	456

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

Calls

Call 1

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

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

rewrite341.0ms (9.3%)

Memory

10.9MiB live, 242.6MiB allocated

Rules

2 253×	`lower-fma.f64`
2 253×	`lower-fma.f32`
2 182×	`lower-/.f64`
2 182×	`lower-/.f32`
1 774×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
0	18	32
1	46	32
2	257	32
3	2658	32
0	8360	32

Stop Event

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

Counts

6 → 262

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.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 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 y y) 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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))) (-.f64 (.f64 y y) (*.f64 (-.f64 x y) x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 (-.f64 x y) x) x) (-.f64 x y)) (.f64 (-.f64 x y) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (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 y x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(pow.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (neg.f64 (-.f64 x y))))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))) (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (.f64 (.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y))))))
(/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)))))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 y y) (fma.f64 y y (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (/.f64 (.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 (-.f64 y x) (+.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 y x)) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 y 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 x y) x (.f64 y y))) (/.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 x y) x (.f64 y y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y x))) (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 x y))))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)

eval57.0ms (1.5%)

Memory: 16.1MiB live, 61.9MiB allocated
Compiler: Compiled 9 203 to 916 computations (90% saved)

prune68.0ms (1.8%)

Memory

-4.0MiB live, 71.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	376	3	379

Accuracy

100.0%

Counts

379 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	51.1%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
✓	49.7%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 41 to 25 computations (39% saved)

regimes9.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes35.0ms (1%)

Memory

-26.3MiB live, 12.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
2.0ms	y
1.0ms	x
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
80.6%	2	`x`
89.3%	2	`y`
97.4%	2	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
97.4%	2	`(+.f64 x y)`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	y
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	x
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
49.7%	1	`x`
49.7%	1	`y`
49.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
49.7%	1	`(+.f64 x y)`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9783429184229892e-266	2.0236898537878156e-268

Compiler

Compiled 12 to 12 computations (0% saved)

simplify6.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	25	38

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (+.f64 x y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64))))

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

Outputs
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 x y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (* (/ 1 2) (+ x y)) (.f64 x #s(literal 1/2 binary64))) #s(approx ( (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (* (/ 1 2) (+ x y)) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

soundness765.0ms (20.8%)

Memory

-1.6MiB live, 322.1MiB allocated

Rules

8 832×	`lower-fma.f64`
8 832×	`lower-fma.f32`
4 347×	`lower-fma.f64`
4 347×	`lower-fma.f32`
2 228×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	11	9
1	34	9
2	182	9
3	1529	9
0	8403	9
0	38	168
1	115	168
2	264	168
3	783	168
4	1834	168
5	2668	168
6	3340	168
7	3639	168
8	3801	168
9	3837	168
10	6026	168
0	8686	168

Stop Event

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

Compiler

Compiled 68 to 34 computations (50% saved)

preprocess80.0ms (2.2%)

Memory: -4.8MiB live, 115.6MiB allocated
Remove: (sort x y)
Compiler: Compiled 124 to 74 computations (40.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample884.0ms (24%)

explain146.0ms (4%)

preprocess55.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.5%)

series3.0ms (0.1%)

simplify318.0ms (8.6%)

rewrite370.0ms (10%)

eval54.0ms (1.5%)

prune84.0ms (2.3%)

simplify13.0ms (0.3%)

localize50.0ms (1.4%)

series5.0ms (0.1%)

simplify312.0ms (8.5%)

rewrite341.0ms (9.3%)

eval57.0ms (1.5%)

prune68.0ms (1.8%)

regimes9.0ms (0.2%)

regimes35.0ms (1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness765.0ms (20.8%)

preprocess80.0ms (2.2%)

end0.0ms (0%)

Profiling