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

0.4MiB live, 0.4MiB 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)

sample578.0ms (9.4%)

Memory

12.4MiB live, 747.3MiB allocated

Samples

357.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-mult: 123.0ms (69.2% of total)

ival-sub: 41.0ms (23.1% of total)

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

exact: 4.0ms (2.3% of total)

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

Bogosity

explain74.0ms (1.2%)

Memory

0.2MiB live, 125.3MiB 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

26.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (66.3% of total)

ival-sub: 2.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess36.0ms (0.6%)

Memory

1.7MiB live, 40.1MiB 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 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 7 to 6 computations (14.3% saved)

simplify16.0ms (0.3%)

Memory

-19.0MiB live, 19.8MiB 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

localize16.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0.078125	(.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 (59.2% of total)

ival-sub: 1.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.6%)

Memory

-46.9MiB live, 11.6MiB 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 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 (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 (* 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 (* -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 (* 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 (* 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 (* -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 (* 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 -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 (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 (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 (* 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 (* -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 (* 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 (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (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 (* 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 (* 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>) () ())) ())

Calls

6 calls:

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

simplify408.0ms (6.7%)

Memory

29.7MiB live, 106.0MiB 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	2408	332
5	5858	332
0	8081	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite561.0ms (9.1%)

Memory

10.9MiB live, 195.7MiB 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
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eval164.0ms (2.7%)

Memory: -12.1MiB live, 194.7MiB allocated
Compiler: Compiled 20 840 to 1 642 computations (92.1% saved)

prune18.0ms (0.3%)

Memory

14.3MiB live, 52.2MiB 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)
	91.9%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
	67.1%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
▶	83.8%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	67.1%	(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
▶	49.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
▶	52.5%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	46.8%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 174 to 122 computations (29.9% saved)

simplify168.0ms (2.7%)

Memory

-12.6MiB live, 151.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
cost-diff	576	(.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	8128	(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64)))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	7552	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
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

12 244×	`lower-fma.f32`
12 240×	`lower-fma.f64`
2 522×	`lower-*.f32`
2 504×	`lower-*.f64`
1 902×	`lower-+.f32`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	28	193
0	48	171
1	95	166
2	194	166
3	544	161
4	1509	161
5	2190	161
6	3229	154
7	3875	154
8	4844	154
9	5731	153
10	7233	153
0	8336	153

Stop Event

1×	iter limit
1×	node limit
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 #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
x
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64)))))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))
(neg.f64 (*.f64 x x))
(*.f64 x x)
(/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 y y)

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

localize77.0ms (1.3%)

Memory

-0.4MiB live, 120.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
accuracy	0.3817269856105601	(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	9.259000942254662	(/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64)))
accuracy	21.293244120881273	(.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))
accuracy	0.006191259768442017	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
accuracy	0.23275375976844204	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	3.1107775136510227	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	6.912342491962858	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.078125	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
accuracy	32.55586132326242	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.078125	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	30.599544538498193	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0625	(fma.f64 (*.f64 (neg.f64 y) x) x x)

Samples

52.0ms

256×

valid

Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 15.0ms (41.3% of total)

ival-pow: 5.0ms (13.8% of total)

ival-neg: 4.0ms (11% of total)

ival-div: 3.0ms (8.3% of total)

ival-add: 3.0ms (8.3% of total)

ival-pow2: 3.0ms (8.3% of total)

ival-sub: 2.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (1%)

Memory

5.8MiB live, 81.6MiB allocated

Counts

17 → 396

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (/ x (+ (* y x) 1)) (/ (* y y) (+ (* y x) 1)))
6.0ms	x	@	-inf	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (/ x (+ (* y x) 1)) (/ (* y y) (+ (* y x) 1)))
6.0ms	x	@	0	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (/ x (+ (* y x) 1)) (/ (* y y) (+ (* y x) 1)))
4.0ms	x	@	inf	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (/ x (+ (* y x) 1)) (/ (* y y) (+ (* y x) 1)))
4.0ms	y	@	0	((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (/ x (+ (* y x) 1)) (/ (* y y) (+ (* y x) 1)))

simplify206.0ms (3.4%)

Memory

2.7MiB live, 192.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 960×	`lower-fma.f64`
9 960×	`lower-fma.f32`
3 824×	`lower-*.f64`
3 824×	`lower-*.f32`
2 712×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	3192
1	957	2925
2	2642	2806
0	8430	2784

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 384

Calls

Call 1

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

rewrite259.0ms (4.2%)

Memory

5.7MiB live, 321.9MiB allocated

Rules

8 562×	`lower-fma.f32`
8 558×	`lower-fma.f64`
3 984×	`lower-*.f32`
3 966×	`lower-*.f64`
3 530×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	155
0	48	140
1	181	123
2	1205	119
0	8590	119

Stop Event

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

Counts

17 → 894

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

Outputs
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eval303.0ms (4.9%)

Memory: -5.4MiB live, 343.5MiB allocated
Compiler: Compiled 29 511 to 2 524 computations (91.4% saved)

prune37.0ms (0.6%)

Memory

36.4MiB live, 111.7MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 342	6	1 348
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	1 347	9	1 356

Accuracy

100.0%

Counts

1 356 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.9%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
▶	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
▶	99.9%	(-.f64 x (.f64 (.f64 x y) x))
	83.8%	(.f64 (fma.f64 (.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	65.7%	(.f64 x (+.f64 #s(approx (pow (+ ( y x) 1) -1) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
✓	49.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	52.5%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	46.8%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 161 to 117 computations (27.3% saved)

simplify35.0ms (0.6%)

Memory

-9.8MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) x x)
cost-diff	1664	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
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	(*.f64 x x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (neg.f64 y) (.f64 x x))
cost-diff	0	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) x)
cost-diff	0	(-.f64 x (.f64 (.f64 x y) x))

Rules

368×	`lower-fma.f32`
362×	`lower-fma.f64`
272×	`lower-*.f32`
260×	`lower-*.f64`
224×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	41	115
1	82	115
2	125	115
3	229	115
4	301	115
5	410	115
6	572	115
7	784	115
8	956	115
9	980	115
10	985	115
0	985	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.4%)

Memory

-43.2MiB live, 90.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.0625	(fma.f64 (*.f64 x (neg.f64 y)) x x)
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
accuracy	0.6847916323526277	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))
accuracy	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.0625	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
accuracy	0.3739144856105601	(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	5.182409627398638	(fma.f64 (*.f64 (neg.f64 x) x) y x)
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	8.211596792277279	(.f64 (neg.f64 y) (.f64 x x))
accuracy	32.14943502063789	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(-.f64 x (.f64 (.f64 x y) x))
accuracy	0.1171875	(.f64 (.f64 x y) x)

Samples

67.0ms

256×

valid

Compiler

Compiled 123 to 25 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 14.0ms (48.4% of total)

ival-div: 6.0ms (20.7% of total)

ival-add: 3.0ms (10.4% of total)

ival-sub: 2.0ms (6.9% of total)

ival-neg: 2.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

-5.9MiB live, 31.3MiB allocated

Counts

17 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((- x (* (* x y) x)) (* (* x y) x) (* x y) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (neg x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ 1 (+ (* (* x (neg y)) x) x)))
2.0ms	x	@	inf	((- x (* (* x y) x)) (* (* x y) x) (* x y) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (neg x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ 1 (+ (* (* x (neg y)) x) x)))
2.0ms	x	@	-inf	((- x (* (* x y) x)) (* (* x y) x) (* x y) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (neg x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ 1 (+ (* (* x (neg y)) x) x)))
2.0ms	y	@	inf	((- x (* (* x y) x)) (* (* x y) x) (* x y) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (neg x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ 1 (+ (* (* x (neg y)) x) x)))
2.0ms	y	@	-inf	((- x (* (* x y) x)) (* (* x y) x) (* x y) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (neg x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ 1 (+ (* (* x (neg y)) x) x)))

simplify189.0ms (3.1%)

Memory

27.0MiB live, 212.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 940×	`lower-fma.f64`
9 940×	`lower-fma.f32`
4 656×	`lower-*.f64`
4 656×	`lower-*.f32`
2 542×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	2488
1	507	2338
2	1212	2315
3	5254	2314
0	8393	2291

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 348

Calls

Call 1

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

rewrite310.0ms (5.1%)

Memory

-42.5MiB live, 369.5MiB allocated

Rules

7 942×	`lower-fma.f32`
7 936×	`lower-fma.f64`
4 194×	`lower-*.f32`
4 182×	`lower-*.f64`
2 464×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
0	41	99
1	163	99
2	1100	99
0	9236	90

Stop Event

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

Counts

17 → 1 502

Calls

Call 1

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

Outputs
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eval336.0ms (5.5%)

Memory: 53.0MiB live, 573.6MiB allocated
Compiler: Compiled 34 594 to 2 748 computations (92.1% saved)

prune112.0ms (1.8%)

Memory

-26.6MiB live, 108.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 910	2	1 912
Fresh	0	2	2
Picked	2	3	5
Done	0	2	2
Total	1 912	9	1 921

Accuracy

100.0%

Counts

1 921 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
▶	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
▶	49.7%	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
✓	99.9%	(-.f64 x (.f64 (.f64 x y) x))
▶	83.8%	(.f64 (fma.f64 (.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	65.7%	(.f64 x (+.f64 #s(approx (pow (+ ( y x) 1) -1) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
✓	49.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	52.5%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	46.8%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 82 to 62 computations (24.4% saved)

simplify143.0ms (2.3%)

Memory

40.8MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
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	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff	0	#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(.f64 (.f64 x (neg.f64 y)) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x (neg.f64 y)) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64))
cost-diff	0	(.f64 x (+.f64 #s(approx (pow (+ ( y x) 1) -1) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
cost-diff	128	(+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64)))))
cost-diff	256	(.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))

Rules

5 242×	`lower-fma.f32`
5 236×	`lower-fma.f64`
1 970×	`lower-*.f32`
1 956×	`lower-*.f64`
1 582×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	204
0	54	204
1	98	200
2	205	200
3	573	198
4	1399	197
5	2461	195
6	4081	195
7	4891	195
8	5301	195
9	5939	194
10	6338	194
11	7705	194
0	8050	192

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (1.6%)

Memory

4.5MiB live, 225.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.0625	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy	0.3739144856105601	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0625	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
accuracy	0.2109375	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	32.78467428340805	#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
accuracy	0.1171875	(.f64 (.f64 x (neg.f64 y)) x)
accuracy	1.9225306224723153	(fma.f64 (.f64 (.f64 x (neg.f64 y)) x) y #s(literal 1 binary64))
accuracy	3.1107775136510227	(.f64 (fma.f64 (.f64 (*.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	6.912342491962858	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.078125	(.f64 x (+.f64 #s(approx (pow (+ ( y x) 1) -1) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))))
accuracy	9.259000942254662	(/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64)))
accuracy	21.293244120881273	(.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))))
accuracy	30.43161228953558	#s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64))

Samples

80.0ms

256×

valid

Compiler

Compiled 204 to 31 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 34.0ms (57.2% of total)

ival-div: 13.0ms (21.9% of total)

ival-add: 6.0ms (10.1% of total)

ival-pow: 4.0ms (6.7% of total)

ival-neg: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.6%)

Memory

15.3MiB live, 93.5MiB allocated

Counts

18 → 408

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	-inf	((* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (neg y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ (* y y) (+ (* y x) 1)) (/ x (+ (* y x) 1)) (* (+ (* (* (* x (neg y)) x) y) 1) (/ x (+ (* y x) 1))))
3.0ms	x	@	inf	((* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (neg y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ (* y y) (+ (* y x) 1)) (/ x (+ (* y x) 1)) (* (+ (* (* (* x (neg y)) x) y) 1) (/ x (+ (* y x) 1))))
3.0ms	y	@	inf	((* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (neg y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ (* y y) (+ (* y x) 1)) (/ x (+ (* y x) 1)) (* (+ (* (* (* x (neg y)) x) y) 1) (/ x (+ (* y x) 1))))
3.0ms	x	@	0	((* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (neg y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ (* y y) (+ (* y x) 1)) (/ x (+ (* y x) 1)) (* (+ (* (* (* x (neg y)) x) y) 1) (/ x (+ (* y x) 1))))
2.0ms	y	@	0	((* (neg (* x x)) (/ (* y y) (+ (* y x) 1))) (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* x x)) (/ (* y y) (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* (* (* x (neg y)) x) y) 1) (* (* x (neg y)) x) (* x (neg y)) (neg y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ (* y y) (+ (* y x) 1)) (/ x (+ (* y x) 1)) (* (+ (* (* (* x (neg y)) x) y) 1) (/ x (+ (* y x) 1))))

simplify261.0ms (4.3%)

Memory

-41.4MiB live, 292.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 008×	`lower-fma.f64`
9 008×	`lower-fma.f32`
3 924×	`lower-*.f64`
3 924×	`lower-*.f32`
3 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	3728
1	1152	3458
2	3106	3380
0	8359	3313

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 398

Calls

Call 1

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

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

rewrite217.0ms (3.5%)

Memory

25.6MiB live, 310.5MiB allocated

Rules

8 318×	`lower-fma.f32`
8 312×	`lower-fma.f64`
3 984×	`lower-*.f32`
3 970×	`lower-*.f64`
2 854×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	174
0	54	166
1	208	151
2	1414	146
0	8855	146

Stop Event

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

Counts

18 → 1 366

Calls

Call 1

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

Outputs
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eval383.0ms (6.2%)

Memory: -3.3MiB live, 502.1MiB allocated
Compiler: Compiled 38 829 to 3 736 computations (90.4% saved)

prune42.0ms (0.7%)

Memory

-14.6MiB live, 150.3MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 761	3	1 764
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	1 763	10	1 773

Accuracy

100.0%

Counts

1 773 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
✓	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
	49.6%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	49.7%	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
✓	99.9%	(-.f64 x (.f64 (.f64 x y) x))
	43.8%	(.f64 (fma.f64 (.f64 (.f64 x (neg.f64 y)) x) y #s(literal 1 binary64)) #s(approx (/ x (+ ( y x) 1)) (/.f64 #s(literal 1 binary64) y)))
	77.9%	(.f64 x (+.f64 #s(approx (pow (+ ( y x) 1) -1) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(approx (/ (* y y) (+ (* y x) 1)) (/.f64 y x)))))
✓	49.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	52.5%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	46.8%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 298 to 143 computations (52% saved)

regimes20.0ms (0.3%)

Memory

14.9MiB live, 51.9MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs
(-.f64 x (.f64 (.f64 x y) x))

Calls

3 calls:

8.0ms	x
6.0ms	y
6.0ms	(.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 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
(.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	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
2.0ms	y
2.0ms	x

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 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.4%)

Memory

-24.9MiB live, 14.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
75.2%	3	`x`
78.2%	3	`y`
84.4%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
82.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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	y
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
1.0ms	x

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.952253124759648e+130	1.399978040793071e+139
0.0ms	-5.82395702779461e+58	-5.3438011401548454e+57

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.952253124759648e+130	1.399978040793071e+139
0.0ms	-5.82395702779461e+58	-5.3438011401548454e+57

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify65.0ms (1.1%)

Memory

-28.8MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-commutative-binary64-.f64`
16×	`+-commutative-binary64-+.f64`
16×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
1	54	133
2	75	133
3	90	133
4	96	133
5	97	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 x y) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(-.f64 x (.f64 (.f64 x y) x))
(-.f64 x (.f64 (.f64 y x) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) (.f64 #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x)) x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (.f64 #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)) x)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 x) x) y))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x)

soundness663.0ms (10.8%)

Memory

37.9MiB live, 482.5MiB allocated

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
8 562×	`lower-fma.f32`
8 558×	`lower-fma.f64`
4 738×	`lower-fma.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	28	155
0	48	140
1	181	123
2	1205	119
0	8590	119
0	34	368
1	108	332
2	189	332
3	514	332
4	2408	332
5	5858	332
0	8081	332

Stop Event

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

Compiler

Compiled 150 to 68 computations (54.7% saved)

preprocess32.0ms (0.5%)

Memory: 21.0MiB live, 95.9MiB allocated
Compiler: Compiled 202 to 64 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB 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	23	121
0	41	115
1	82	115
2	125	115
3	229	115
4	301	115
5	410	115
6	572	115
7	784	115
8	956	115
9	980	115
10	985	115
0	985	113

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	23	121
0	41	115
1	82	115
2	125	115
3	229	115
4	301	115
5	410	115
6	572	115
7	784	115
8	956	115
9	980	115
10	985	115
0	985	113

start0.0ms (0%)

analyze0.0ms (0%)

sample578.0ms (9.4%)

explain74.0ms (1.2%)

preprocess36.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify16.0ms (0.3%)

localize16.0ms (0.3%)

series38.0ms (0.6%)

simplify408.0ms (6.7%)

rewrite561.0ms (9.1%)

eval164.0ms (2.7%)

prune18.0ms (0.3%)

simplify168.0ms (2.7%)

localize77.0ms (1.3%)

series64.0ms (1%)

simplify206.0ms (3.4%)

rewrite259.0ms (4.2%)

eval303.0ms (4.9%)

prune37.0ms (0.6%)

simplify35.0ms (0.6%)

localize85.0ms (1.4%)

series39.0ms (0.6%)

simplify189.0ms (3.1%)

rewrite310.0ms (5.1%)

eval336.0ms (5.5%)

prune112.0ms (1.8%)

simplify143.0ms (2.3%)

localize101.0ms (1.6%)

series38.0ms (0.6%)

simplify261.0ms (4.3%)

rewrite217.0ms (3.5%)

eval383.0ms (6.2%)

prune42.0ms (0.7%)

regimes20.0ms (0.3%)

regimes7.0ms (0.1%)

regimes24.0ms (0.4%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify65.0ms (1.1%)

soundness663.0ms (10.8%)

preprocess32.0ms (0.5%)

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	23	121
0	41	115
1	82	115
2	125	115
3	229	115
4	301	115
5	410	115
6	572	115
7	784	115
8	956	115
9	980	115
10	985	115
0	985	113