Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 8 computations (11.1% saved)

sample522.0ms (8.4%)

Memory

23.6MiB live, 724.1MiB allocated

Samples

331.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 127.0ms (71% of total)

ival-sub: 39.0ms (21.8% of total)

ival-true: 6.0ms (3.4% of total)

exact: 5.0ms (2.8% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain72.0ms (1.2%)

Memory

14.9MiB live, 128.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

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

ival-mult: 7.0ms (69.1% of total)

ival-sub: 2.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess44.0ms (0.7%)

Memory

6.0MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
184×	`lower-*.f32`
180×	`lower-*.f64`
146×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify42.0ms (0.7%)

Memory

-51.0MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
184×	`lower-*.f32`
180×	`lower-*.f64`
74×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

30.1MiB live, 30.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.05859375	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (61.4% of total)

ival-sub: 1.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-24.9MiB live, 12.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(* x (- 1 (* x y)))
1.0ms	y	@	inf	(* x y)
1.0ms	y	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	-inf	(* x (- 1 (* x y)))

simplify113.0ms (1.8%)

Memory

-10.7MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 738×	`lower-fma.f64`
4 738×	`lower-fma.f32`
4 354×	`lower-*.f64`
4 354×	`lower-*.f32`
2 520×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2428	332
5	5830	332
0	8058	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite620.0ms (10%)

Memory

23.2MiB live, 294.2MiB allocated

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
3 708×	`lower-*.f32`
3 704×	`lower-*.f64`
3 004×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13

Stop Event

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

Counts

3 → 614

Calls

Call 1

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

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

eval469.0ms (7.5%)

Memory: -2.1MiB live, 109.2MiB allocated
Compiler: Compiled 27 249 to 1 627 computations (94% saved)

prune176.0ms (2.8%)

Memory

26.6MiB live, 305.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	676	8	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	677	8	685

Accuracy

100.0%

Counts

685 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
	88.8%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	77.7%	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
▶	99.9%	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
▶	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 164 to 98 computations (40.2% saved)

simplify176.0ms (2.8%)

Memory

6.3MiB live, 80.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64))
cost-diff	0	(neg.f64 (fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
cost-diff	0	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(fma.f64 (*.f64 (neg.f64 y) x) x x)

Rules

2 336×	`lower-fma.f32`
2 328×	`lower-fma.f64`
1 672×	`lower-*.f32`
1 662×	`lower-*.f64`
1 080×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	126
0	37	125
1	82	125
2	163	125
3	448	125
4	915	123
5	2147	123
6	3249	123
7	3623	123
8	3640	123
9	3642	123
10	3645	123
11	4053	123
12	4241	123
13	4241	123
14	4241	123
15	4253	123
16	4282	123
17	4282	123
0	4282	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (1.3%)

Memory

12.5MiB live, 85.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64)))
accuracy	0.12337875976844202	(fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64))
accuracy	0.2592431497367944	(.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x)
accuracy	11.629313678026206	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.0703125	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy	0.2984418163659789	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.05859375	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	34.105016647550684	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.046875	(fma.f64 (*.f64 (neg.f64 y) x) x x)

Samples

38.0ms

256×

valid

Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (48.1% of total)

ival-div: 5.0ms (20% of total)

ival-add: 4.0ms (16% of total)

ival-neg: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (1%)

Memory

-14.2MiB live, 22.6MiB allocated

Counts

14 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
38.0ms	x	@	inf	(* (neg (+ (* (* y x) (* y x)) 1)) x)
1.0ms	x	@	inf	(/ x (/ -1 (+ (* y x) -1)))
1.0ms	x	@	inf	(/ (* (neg (+ (* (* y x) (* y x)) 1)) x) (+ (* y x) -1))
1.0ms	x	@	0	(* (neg (+ (* (* y x) (* y x)) 1)) x)
0.0ms	y	@	inf	(* (neg (+ (* (* y x) (* y x)) 1)) x)

simplify507.0ms (8.1%)

Memory

-200.4MiB live, 216.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 112×	`lower-fma.f64`
14 112×	`lower-fma.f32`
5 342×	`lower-*.f64`
5 342×	`lower-*.f32`
2 018×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	2524
1	782	2338
2	2161	2277
3	7799	2277
0	8057	2194

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 314

Calls

Call 1

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

rewrite197.0ms (3.2%)

Memory

3.2MiB live, 352.0MiB allocated

Rules

11 306×	`lower-fma.f32`
11 298×	`lower-fma.f64`
5 218×	`lower-*.f32`
5 208×	`lower-*.f64`
2 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	37	98
1	161	95
2	1041	95
0	9159	88

Stop Event

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

Counts

14 → 1 237

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) x (.f64 (.f64 (.f64 (.f64 x x) y) x) y)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x y #s(literal -1 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal -1 binary64)))) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 x y #s(literal -1 binary64)) x) #s(literal -1 binary64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(.f64 (.f64 (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) x (.f64 (.f64 (.f64 (*.f64 x x) y) x) y))))))
(.f64 (.f64 (.f64 x (fma.f64 x y #s(literal -1 binary64))) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)))
(.f64 (.f64 x (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))) x))
(.f64 (.f64 x (fma.f64 x y #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (.f64 x (.f64 x (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x y #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) x))
(.f64 (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
(.f64 (.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) x (.f64 (.f64 (.f64 (.f64 x x) y) x) y))) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) x (.f64 (.f64 (.f64 (*.f64 x x) y) x) y))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 y (.f64 x (fma.f64 x y #s(literal -1 binary64))))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) x (.f64 (.f64 (.f64 (*.f64 x x) y) x) y)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) x))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (neg.f64 x)))
(*.f64 (neg.f64 x) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 x y #s(literal -1 binary64)) x))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x y #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) (.f64 (.f64 x (fma.f64 x y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))))
(.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 x y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x y #s(literal -1 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x y #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 x x)) x)) (fma.f64 x x (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x (.f64 (.f64 (*.f64 x (neg.f64 y)) x) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) x)) x)) (fma.f64 x y #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)) x)) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) x)))) (fma.f64 x y #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 x y) x)) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y y) x) x))) (fma.f64 x y #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) x))) (fma.f64 x y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) x)) (.f64 x (.f64 x (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) x)) (.f64 x (fma.f64 x y #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)) x (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x))))) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) x (.f64 (.f64 (.f64 (*.f64 x x) y) x) y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x (neg.f64 y)) x) #s(literal 9 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 x x)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x))) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 x x)) x)))) (.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) x (.f64 (.f64 (.f64 (.f64 x x) y) x) y)))))
(/.f64 (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 x)) (fma.f64 x y #s(literal -1 binary64)))
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(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64))) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x))) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 x (.f64 x (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x))) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y) #s(literal -1 binary64)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 x (.f64 x (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 x (.f64 x (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64))))
(neg.f64 (fma.f64 (.f64 x y) (.f64 x (neg.f64 y)) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 (*.f64 x (neg.f64 y)) x) #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (*.f64 x (neg.f64 y)) x) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 (*.f64 x x) y) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (.f64 (.f64 x x) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 y y) x) x)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 x y)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) y) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 x y)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 x x) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) x)) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 x y) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 x y)) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (log.f64 (.f64 x y))) (exp.f64 (log.f64 (.f64 x y))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (neg.f64 y)) y) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 x x) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) y) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x (neg.f64 y)) x) y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (neg.f64 (.f64 (neg.f64 x) x)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (pow.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (.f64 x x) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (.f64 (.f64 x (neg.f64 y)) y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (neg.f64 y)) x) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x (neg.f64 y)) x) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (.f64 (.f64 x (neg.f64 y)) x) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 (*.f64 x (neg.f64 y)) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 x x) y) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) x) x))) (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x y) (.f64 x (neg.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x (neg.f64 y)) x) y))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 y y) x) x)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) x) x))

eval301.0ms (4.8%)

Memory: 39.6MiB live, 528.6MiB allocated
Compiler: Compiled 36 500 to 2 807 computations (92.3% saved)

prune243.0ms (3.9%)

Memory

-46.4MiB live, 413.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 687	4	1 691
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 691	8	1 699

Accuracy

100.0%

Counts

1 699 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
▶	88.8%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
▶	34.3%	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64))) x) #s(approx (+ ( y x) -1) (*.f64 y x)))
▶	54.2%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	99.9%	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
▶	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 136 to 75 computations (44.9% saved)

simplify519.0ms (8.3%)

Memory

28.9MiB live, 105.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64))
cost-diff	0	(neg.f64 (fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64))) x) #s(approx (+ ( y x) -1) (*.f64 y x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) -1) (*.f64 y x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(fma.f64 (*.f64 (neg.f64 x) x) y x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
cost-diff	960	(/.f64 y (/.f64 #s(literal -1 binary64) x))

Rules

2 632×	`lower-fma.f32`
2 626×	`lower-fma.f64`
2 352×	`div-sub`
1 968×	`lower-*.f32`
1 958×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	167
0	43	169
1	88	169
2	177	169
3	394	169
4	749	162
5	1702	162
6	2503	162
7	3512	162
8	4122	162
9	4505	162
10	4550	162
11	4575	162
12	4880	162
13	5158	162
14	5316	162
15	5624	162
16	5676	162
17	5796	162
18	5812	162
19	5812	162
20	5812	162
21	5932	162
22	6151	162
23	6243	162
24	6247	162
25	6247	162
26	6247	162
27	6247	162
28	6335	162
29	6413	162
30	6541	162
31	6645	162
32	6645	162
33	6645	162
34	6645	162
0	6645	155

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize119.0ms (1.9%)

Memory

-25.5MiB live, 169.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.12337875976844202	(fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64))
accuracy	0.2592431497367944	(.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x)
accuracy	11.629313678026206	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y x) #s(literal 1 binary64))) x) #s(approx (+ ( y x) -1) (*.f64 y x)))
accuracy	29.70449822852036	#s(approx (+ (* y x) -1) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0.0703125	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
accuracy	0.2984418163659789	(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
accuracy	29.70449822852036	#s(approx (+ (* y x) -1) (*.f64 y x))
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	7.164303595433489	(fma.f64 (*.f64 (neg.f64 x) x) y x)
accuracy	0	(*.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
accuracy	29.704498228520404	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.046875	(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
accuracy	0.25	(/.f64 y (/.f64 #s(literal -1 binary64) x))

Samples

51.0ms

256×

valid

Compiler

Compiled 145 to 27 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (41.2% of total)

ival-div: 12.0ms (35.3% of total)

ival-add: 4.0ms (11.8% of total)

ival-neg: 2.0ms (5.9% of total)

ival-sub: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

17 → 372

Calls

Call 1

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

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

Calls

93 calls:

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

simplify219.0ms (3.5%)

Memory

22.0MiB live, 210.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 892×	`lower-fma.f64`
13 892×	`lower-fma.f32`
5 330×	`lower-*.f64`
5 330×	`lower-*.f32`
2 020×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	2650
1	774	2482
2	2130	2421
3	7784	2421
0	8043	2338

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 362

Calls

Call 1

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

rewrite253.0ms (4.1%)

Memory

-3.1MiB live, 283.0MiB allocated

Rules

8 798×	`lower-fma.f32`
8 792×	`lower-fma.f64`
4 324×	`lower-*.f32`
4 314×	`lower-*.f64`
3 274×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	140
0	43	138
1	178	130
2	1124	130
0	8702	126

Stop Event

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

Counts

17 → 726

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) x)
(.f64 (.f64 x y) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) y)
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x x) y) y (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) x) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) y) x)
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 y (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 x y))
(fma.f64 #s(literal 0 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x y))) #s(literal -1 binary64)))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 (neg.f64 x) y))
(+.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(.f64 (.f64 x (-.f64 x (.f64 (.f64 (.f64 (.f64 x x) y) x) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x x) y))))
(.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) y x)))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (.f64 x x) y)))))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) y x)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (.f64 x x) y))))))
(*.f64 (neg.f64 (fma.f64 x y #s(literal -1 binary64))) x)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 x) x) y x))
(*.f64 x (neg.f64 (fma.f64 x y #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 (.f64 (.f64 x x) y) x) y)))) (neg.f64 (+.f64 x (.f64 (*.f64 x x) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (*.f64 x x) y)))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 (.f64 (neg.f64 x) x) y) x) (.f64 (.f64 (neg.f64 x) x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (.f64 (.f64 (.f64 x x) y) x) y)) x (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x)))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 (.f64 (neg.f64 x) x) y) x) (.f64 (.f64 (neg.f64 x) x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 (.f64 (neg.f64 x) x) y) x) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (.f64 x x) y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) x) y) #s(literal 9 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 (.f64 (neg.f64 x) x) y) x))))) (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (*.f64 x x) y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)) (.f64 x x))) (.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 (.f64 (.f64 x x) y) x) y))) (+.f64 x (.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) y x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (*.f64 x x) y))))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 x x (.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (.f64 x x) y)) (.f64 x (-.f64 x (.f64 (.f64 (.f64 (*.f64 x x) y) x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y x))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (*.f64 x x) y))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) y x)))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) y) x) y (+.f64 x (.f64 (*.f64 x x) y)))))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) y) #s(literal -1 binary64) x)
(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) y x)) (neg.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))))
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 (.f64 (.f64 (neg.f64 x) x) y) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x y) (neg.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(fma.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (neg.f64 x) (*.f64 x y) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) y) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 x (*.f64 (neg.f64 x) y) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x x) y))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (+.f64 x (.f64 (.f64 x x) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))))
(-.f64 x (.f64 (.f64 x x) y))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))))
(+.f64 (.f64 (.f64 (neg.f64 x) x) y) x)
(+.f64 x (.f64 (.f64 (neg.f64 x) x) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(.f64 #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)) x)
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) x)
(.f64 (.f64 x y) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) y)
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x x) y) y (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) y) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) y) x) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) y) x)
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 y (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 x y))
(fma.f64 #s(literal 0 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x y))) #s(literal -1 binary64)))
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(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) y) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 x y)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 x x) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) x) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 x y) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 x y)) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 (neg.f64 x) y) (neg.f64 y)) x #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 y) (neg.f64 y)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (.f64 x y))) (exp.f64 (log.f64 (.f64 x y))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 x) y) y) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) y) y) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 x x) y) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 (neg.f64 x) x) y) y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 x) x) y) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 x) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) y) y) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 x x) y) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 y y) x)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) y) y))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 y y) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) y) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 y y) x)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x y) (.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 x x) y) y)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) y) (.f64 (.f64 y y) x)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x y) (.f64 x y) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (*.f64 x x) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) y) y))

eval191.0ms (3.1%)

Memory: 9.5MiB live, 381.2MiB allocated
Compiler: Compiled 26 730 to 2 358 computations (91.2% saved)

prune171.0ms (2.8%)

Memory

6.3MiB live, 359.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 300	2	1 302
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	1 302	8	1 310

Accuracy

100.0%

Counts

1 310 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
✓	88.8%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
✓	54.2%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	99.9%	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
▶	54.2%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
▶	54.2%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
✓	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 72 to 43 computations (40.3% saved)

simplify8.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
cost-diff	384	(/.f64 y (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
cost-diff	384	(/.f64 x (/.f64 #s(literal -1 binary64) y))

Rules

56×	`lower-fma.f64`
56×	`lower-+.f64`
56×	`lower-fma.f32`
56×	`lower-+.f32`
40×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	20	70
1	34	70
2	47	70
3	58	70
4	72	70
5	89	70
6	106	70
7	139	70
8	163	70
9	167	70
10	168	70
0	168	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.7%)

Memory

-14.0MiB live, 94.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
accuracy	0.25	(/.f64 y (/.f64 #s(literal -1 binary64) x))
accuracy	29.704498228520404	#s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
accuracy	0.15625	(/.f64 x (/.f64 #s(literal -1 binary64) y))
accuracy	29.704498228520404	#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))

Samples

29.0ms

256×

valid

Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (48.7% of total)

ival-mult: 9.0ms (43.8% of total)

ival-sub: 2.0ms (9.7% 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

13.6MiB live, 13.6MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify112.0ms (1.8%)

Memory

12.0MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 026×	`lower-fma.f64`
5 026×	`lower-fma.f32`
4 466×	`lower-*.f64`
4 466×	`lower-*.f32`
2 614×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	856
1	110	784
2	190	784
3	519	784
4	2468	784
5	6016	784
0	8327	784

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite148.0ms (2.4%)

Memory

-29.4MiB live, 155.6MiB allocated

Rules

5 482×	`lower-fma.f64`
5 482×	`lower-fma.f32`
2 704×	`lower-/.f32`
2 696×	`lower-/.f64`
2 320×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
0	20	64
1	69	58
2	344	58
3	2169	52
0	9087	48

Stop Event

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

Counts

8 → 158

Calls

Call 1

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

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

eval92.0ms (1.5%)

Memory: -12.4MiB live, 61.9MiB allocated
Compiler: Compiled 3 516 to 379 computations (89.2% saved)

prune25.0ms (0.4%)

Memory

-5.2MiB live, 41.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	322	0	322
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	322	8	330

Accuracy

100.0%

Counts

330 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
✓	88.8%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
✓	54.2%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	99.9%	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
✓	54.2%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
✓	54.2%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
✓	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 202 to 83 computations (58.9% saved)

regimes18.0ms (0.3%)

Memory

-9.4MiB live, 28.5MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-23.2MiB live, 14.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
76.8%	3	`x`
73.5%	3	`y`
83.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
47.0%	1	`y`
47.0%	1	`x`
47.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.207491012998553e+142	9.387481525374083e+157
0.0ms	-5.862711269488963e+86	-4.6288454802733874e+85

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.1%)

Memory

-20.2MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	45	83
2	52	83
3	56	83
4	57	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x) #s(literal -499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) (.f64 #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y)) x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (.f64 #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)) x)))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x)

soundness521.0ms (8.4%)

Memory

16.0MiB live, 286.6MiB allocated

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
4 738×	`lower-fma.f64`
4 738×	`lower-fma.f32`
4 354×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13
0	34	368
1	108	332
2	189	332
3	514	332
4	2428	332
5	5830	332
0	8058	332

Stop Event

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

Compiler

Compiled 115 to 51 computations (55.7% saved)

preprocess72.0ms (1.2%)

Memory: -43.8MiB live, 112.4MiB allocated
Compiler: Compiled 148 to 52 computations (64.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	14	70
0	20	70
1	34	70
2	47	70
3	58	70
4	72	70
5	89	70
6	106	70
7	139	70
8	163	70
9	167	70
10	168	70
0	168	70

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	14	70
0	20	70
1	34	70
2	47	70
3	58	70
4	72	70
5	89	70
6	106	70
7	139	70
8	163	70
9	167	70
10	168	70
0	168	70

start0.0ms (0%)

analyze0.0ms (0%)

sample522.0ms (8.4%)

explain72.0ms (1.2%)

preprocess44.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.7%)

localize17.0ms (0.3%)

series16.0ms (0.3%)

simplify113.0ms (1.8%)

rewrite620.0ms (10%)

eval469.0ms (7.5%)

prune176.0ms (2.8%)

simplify176.0ms (2.8%)

localize81.0ms (1.3%)

series60.0ms (1%)

simplify507.0ms (8.1%)

rewrite197.0ms (3.2%)

eval301.0ms (4.8%)

prune243.0ms (3.9%)

simplify519.0ms (8.3%)

localize119.0ms (1.9%)

series13.0ms (0.2%)

simplify219.0ms (3.5%)

rewrite253.0ms (4.1%)

eval191.0ms (3.1%)

prune171.0ms (2.8%)

simplify8.0ms (0.1%)

localize45.0ms (0.7%)

series5.0ms (0.1%)

simplify112.0ms (1.8%)

rewrite148.0ms (2.4%)

eval92.0ms (1.5%)

prune25.0ms (0.4%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness521.0ms (8.4%)

preprocess72.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	14	70
0	20	70
1	34	70
2	47	70
3	58	70
4	72	70
5	89	70
6	106	70
7	139	70
8	163	70
9	167	70
10	168	70
0	168	70