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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample518.0ms (8%)

Memory

39.1MiB live, 659.9MiB allocated

Samples

318.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 115.0ms (68.3% of total)

ival-sub: 40.0ms (23.8% of total)

ival-true: 6.0ms (3.6% of total)

exact: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain68.0ms (1.1%)

Memory

12.5MiB live, 98.9MiB 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

24.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (72.2% of total)

ival-sub: 2.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess43.0ms (0.7%)

Memory

-28.3MiB live, 46.1MiB 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
▶	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify14.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB 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

localize22.0ms (0.3%)

Memory

-16.3MiB live, 27.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.1015625	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 9.0ms (86.7% of total)

ival-sub: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt x (taylor 0 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))

simplify99.0ms (1.5%)

Memory

20.7MiB live, 134.5MiB 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)

rewrite606.0ms (9.4%)

Memory

4.9MiB live, 307.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 614

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x x) y))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x (neg.f64 x)) y))))))
(.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 x (neg.f64 x)) y) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 x (neg.f64 x)) y) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (.f64 (*.f64 x x) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 x (neg.f64 x)) y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64))) (+.f64 x (.f64 (*.f64 x x) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 x (neg.f64 x)) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (.f64 x x) y)) (-.f64 (.f64 x x) (pow.f64 (.f64 (*.f64 x x) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x (neg.f64 x)) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 x (neg.f64 x)) y))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (*.f64 y x) (neg.f64 x) x)
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (neg.f64 x)) y))
(fma.f64 x (*.f64 (neg.f64 y) x) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (neg.f64 x)) y))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x x) y))) (/.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (+.f64 x (.f64 (*.f64 x x) y))))
(-.f64 x (.f64 (.f64 x x) y))
(+.f64 (.f64 (.f64 x (neg.f64 x)) y) x)
(+.f64 x (.f64 (.f64 x (neg.f64 x)) y))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
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(-.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (fma.f64 y x #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))) (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))))) (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))))) (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 y x #s(literal 1 binary64)))))
(+.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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 y) (/.f64 (.f64 (*.f64 x x) y) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) (/.f64 (.f64 (*.f64 y y) x) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 y) x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 y x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64)))
(+.f64 (*.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y #s(literal -1 binary64))) x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 y) x))
(/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))

eval446.0ms (6.9%)

Memory: 1.8MiB live, 176.7MiB allocated
Compiler: Compiled 20 840 to 1 642 computations (92.1% saved)

prune32.0ms (0.5%)

Memory

-34.4MiB live, 48.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	673	11	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	674	11	685

Accuracy

100.0%

Counts

685 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
	92.5%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
	70.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
▶	81.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
	39.0%	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x x) y))))
▶	73.2%	(.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))))
	73.6%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
	83.1%	(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
▶	48.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
▶	53.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	45.1%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 292 to 188 computations (35.6% saved)

simplify142.0ms (2.2%)

Memory

6.3MiB live, 127.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(.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))))
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	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)
cost-diff	7552	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) 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

4 862×	`lower-fma.f32`
4 856×	`lower-fma.f64`
3 636×	`lower-*.f32`
3 624×	`lower-*.f64`
2 120×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	171
0	43	164
1	86	164
2	178	164
3	523	164
4	1599	164
5	3059	164
6	5141	164
7	6555	164
0	8100	164

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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)
(-.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)
(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 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
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)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))

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

localize98.0ms (1.5%)

Memory

-7.5MiB live, 107.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy	0.24388510745286218	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	2.912782417081614	(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy	13.94794123065688	(.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))))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
accuracy	0.27734375	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	0.7103364259273319	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)
accuracy	10.414863609088822	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.1015625	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
accuracy	33.310053813285826	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.1015625	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	30.271708075670997	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0703125	(fma.f64 (*.f64 (neg.f64 y) x) x x)

Samples

79.0ms

256×

valid

Compiler

Compiled 169 to 26 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-neg: 33.0ms (51.1% of total)

ival-mult: 12.0ms (18.6% of total)

ival-div: 5.0ms (7.7% of total)

ival-add: 4.0ms (6.2% of total)

ival-pow: 4.0ms (6.2% of total)

ival-sub: 3.0ms (4.6% of total)

ival-pow2: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory

30.1MiB live, 72.0MiB 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<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 (-.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)))) (patch (.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)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<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))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) #<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 (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.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)))) (patch (.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)))) #<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 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (patch (.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)))) #<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 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (patch (.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)))) #<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 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 3 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 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ y x) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1))
5.0ms	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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* 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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1))
4.0ms	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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1))
3.0ms	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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1))

simplify200.0ms (3.1%)

Memory

-18.5MiB live, 206.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 592×	`lower-fma.f64`
8 592×	`lower-fma.f32`
3 092×	`lower-/.f32`
3 092×	`lower-/.f64`
2 684×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2939
1	705	2730
2	2034	2704
3	6775	2704
0	8215	2676

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 382

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)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
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
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))
(* -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))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 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))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* -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))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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)))
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Outputs
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(* x y)
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(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))))) x)
(* (pow x 2) (pow y 2))
(.f64 (.f64 y (*.f64 x x)) y)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(.f64 (fma.f64 (.f64 y y) x y) x)
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* (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 (.f64 (neg.f64 x) x) y)
(* (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 (.f64 (neg.f64 x) x) y)
(* (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 (.f64 (neg.f64 x) x) y)
(* (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 3) (pow y 2)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) 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)
(* -1 (* (pow x 2) y))
(.f64 (.f64 (neg.f64 x) x) y)
(* (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 3) (pow y 3)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(/.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)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))))) x)
(* (pow x 2) (pow y 2))
(.f64 (.f64 y (*.f64 x x)) y)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(.f64 (fma.f64 (.f64 y y) x y) x)
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) y) x)) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) y) x)) (.f64 x x))

rewrite282.0ms (4.4%)

Memory

18.3MiB live, 295.8MiB allocated

Rules

9 438×	`lower-fma.f32`
9 432×	`lower-fma.f64`
4 454×	`lower-*.f32`
4 442×	`lower-*.f64`
3 926×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	140
0	43	121
1	179	121
2	1214	121
0	8807	121

Stop Event

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

Counts

17 → 1 417

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

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 (fma.f64 x (neg.f64 y) #s(literal -1 binary64)) (*.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (/.f64 x (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x y (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (pow.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (pow.f64 (fma.f64 (.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 9 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x y #s(literal 1 binary64)))))
(.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y) (.f64 x (.f64 x (fma.f64 x y #s(literal 1 binary64))))))))
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(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) y) x #s(literal 1 binary64))
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(+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
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eval412.0ms (6.4%)

Memory: 1.3MiB live, 535.7MiB allocated
Compiler: Compiled 47 884 to 2 535 computations (94.7% saved)

prune47.0ms (0.7%)

Memory

-17.6MiB live, 145.0MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 940	6	1 946
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	1 948	9	1 957

Accuracy

100.0%

Counts

1 957 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
	79.6%	(/.f64 (.f64 (fma.f64 (.f64 (*.f64 x y) y) (neg.f64 x) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
▶	22.5%	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (.f64 (.f64 x y) x))
▶	36.5%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 x (.f64 (neg.f64 y) y)) y)))
✓	48.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	53.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	45.1%	#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 150 to 110 computations (26.7% saved)

simplify231.0ms (3.6%)

Memory

-0.0MiB live, 190.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
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	(.f64 x (.f64 (neg.f64 y) y))
cost-diff	0	#s(approx (- 1 (* x y)) (/.f64 (.f64 x (.f64 (neg.f64 y) y)) y))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 x (.f64 (neg.f64 y) y)) y)))
cost-diff	1024	(/.f64 (.f64 x (.f64 (neg.f64 y) y)) y)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(.f64 (.f64 (neg.f64 x) x) y)
cost-diff	0	#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))
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

6 660×	`lower-fma.f32`
6 656×	`lower-fma.f64`
4 318×	`lower-*.f32`
4 298×	`lower-*.f64`
2 218×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	214
0	54	212
1	107	204
2	193	192
3	396	192
4	1202	192
5	3320	192
6	5359	192
0	8072	191

Stop Event

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

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

localize146.0ms (2.3%)

Memory

-6.0MiB live, 174.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.2358682447204052	(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
accuracy	8.550380927501385	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	10.414863609088822	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy	33.19608782716591	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x))
accuracy	0	(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.07421875	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
accuracy	0.21266792657411548	(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
accuracy	0.1015625	(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 x (.f64 (neg.f64 y) y)) y)))
accuracy	8.550380927501385	(.f64 x (.f64 (neg.f64 y) y))
accuracy	11.976115183955066	(/.f64 (.f64 x (.f64 (neg.f64 y) y)) y)
accuracy	33.310053813285826	#s(approx (- 1 (* x y)) (/.f64 (.f64 x (.f64 (neg.f64 y) y)) y))
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	7.195266266809904	(.f64 (.f64 (neg.f64 x) x) y)
accuracy	32.79143111982183	#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))
accuracy	0	(*.f64 x y)
accuracy	0.015625	(-.f64 x (.f64 (.f64 x y) x))
accuracy	0.140625	(.f64 (.f64 x y) x)

Samples

71.0ms

256×

valid

Compiler

Compiled 170 to 29 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 38.0ms (68.1% of total)

ival-div: 6.0ms (10.7% of total)

ival-sub: 3.0ms (5.4% of total)

ival-pow2: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

ival-neg: 2.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (1%)

Memory

-17.4MiB live, 65.6MiB allocated

Counts

20 → 444

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((- x (* (* x y) x)) (* (* x y) x) (* x y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* (neg y) y) x) x))
3.0ms	x	@	-inf	((- x (* (* x y) x)) (* (* x y) x) (* x y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* (neg y) y) x) x))
3.0ms	x	@	inf	((- x (* (* x y) x)) (* (* x y) x) (* x y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* (neg y) y) x) x))
3.0ms	y	@	inf	((- x (* (* x y) x)) (* (* x y) x) (* x y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* (neg y) y) x) x))
2.0ms	y	@	0	((- x (* (* x y) x)) (* (* x y) x) (* x y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (* (* (* (neg y) y) x) x))

simplify154.0ms (2.4%)

Memory

13.8MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 652×	`lower-fma.f64`
9 652×	`lower-fma.f32`
3 782×	`lower-*.f64`
3 782×	`lower-*.f32`
2 154×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2904
1	458	2728
2	1073	2716
3	4611	2716
0	8197	2704

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 432

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

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

rewrite252.0ms (3.9%)

Memory

0.7MiB live, 323.5MiB allocated

Rules

12 642×	`lower-fma.f32`
12 638×	`lower-fma.f64`
5 060×	`lower-*.f32`
5 040×	`lower-*.f64`
2 890×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	186
0	54	184
1	206	169
2	1186	147
0	9583	147

Stop Event

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

Counts

20 → 1 330

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (pow.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) x)
(.f64 (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))) (pow.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x (neg.f64 x))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(.f64 (.f64 x (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 y x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) x))
(.f64 (/.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))
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(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (fma.f64 y x #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y x) (/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 y x)) (.f64 (/.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 y x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 y x #s(literal 1 binary64))))
(.f64 (neg.f64 (neg.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) x)
(.f64 (neg.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)))
(.f64 (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) #s(literal 1 binary64))
(.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
(.f64 (neg.f64 x) (neg.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x))
(.f64 x (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(.f64 x (neg.f64 (neg.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(.f64 x #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) #s(literal 1 binary64))
(/.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (neg.f64 y)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1 binary64))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 (neg.f64 y) x) y)
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 y) y) x)
(.f64 (neg.f64 y) (.f64 y x))
(.f64 (neg.f64 x) (.f64 y y))
(.f64 (.f64 y x) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 y) y) x))
(.f64 y (.f64 (neg.f64 y) x))
(.f64 x (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(.f64 x (.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(.f64 x (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 y x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 y x) (*.f64 (neg.f64 y) y)) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) x)))
(neg.f64 (.f64 (.f64 y y) x))
(fma.f64 #s(literal 0 binary64) (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (.f64 y x) #s(literal 0 binary64) (.f64 (*.f64 (neg.f64 y) y) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) x))
(+.f64 (.f64 (.f64 y x) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 y) y) x))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 y x)) (.f64 (.f64 (neg.f64 y) y) x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 y) y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)) (.f64 x x))
(.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) x)) (neg.f64 y))
(.f64 (.f64 (.f64 (neg.f64 y) x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)))
(.f64 (neg.f64 (.f64 (*.f64 (neg.f64 y) x) x)) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (*.f64 (neg.f64 y) x)))
(.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 (neg.f64 y) x) x) y)
(.f64 (.f64 x x) (*.f64 (neg.f64 y) y))
(.f64 (.f64 (*.f64 y y) x) (neg.f64 x))
(.f64 (.f64 y y) (*.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
(.f64 (.f64 (neg.f64 y) y) (*.f64 x x))
(.f64 (neg.f64 y) (neg.f64 (.f64 (*.f64 (neg.f64 y) x) x)))
(.f64 (neg.f64 y) (.f64 (*.f64 x x) y))
(.f64 (.f64 (neg.f64 x) x) (*.f64 y y))
(.f64 (neg.f64 x) (.f64 (*.f64 y y) x))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 (.f64 y x) (*.f64 (neg.f64 y) x))
(.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 x x) y) (neg.f64 y))
(.f64 y (.f64 (*.f64 (neg.f64 y) x) x))
(.f64 x (.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))

eval231.0ms (3.6%)

Memory: 55.7MiB live, 502.7MiB allocated
Compiler: Compiled 32 226 to 3 302 computations (89.8% saved)

prune136.0ms (2.1%)

Memory

-31.8MiB live, 140.1MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 829	5	1 834
Fresh	1	0	1
Picked	3	2	5
Done	0	3	3
Total	1 833	10	1 843

Accuracy

100.0%

Counts

1 843 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
▶	28.7%	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
▶	48.6%	(/.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))
▶	42.8%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) y) y)))
▶	48.6%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
✓	48.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	53.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	45.1%	#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 134 to 105 computations (21.6% saved)

simplify99.0ms (1.5%)

Memory

22.7MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (neg.f64 y) x) y)
cost-diff	0	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) x) (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	(.f64 (.f64 (neg.f64 y) x) y)
cost-diff	0	#s(approx (- 1 (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) y) y))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) y) y)))
cost-diff	1024	(/.f64 (.f64 (.f64 (neg.f64 y) x) y) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) y))
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))))

Rules

5 520×	`lower-fma.f32`
5 516×	`lower-fma.f64`
2 916×	`lower-*.f32`
2 906×	`lower-*.f64`
1 376×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	233
0	54	224
1	90	216
2	161	216
3	335	207
4	821	207
5	2943	205
6	5973	205
0	8106	205

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (2%)

Memory

8.8MiB live, 195.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7103364259273319	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) x)
accuracy	2.2358682447204052	(.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)
accuracy	10.414863609088822	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy	33.19608782716591	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.07421875	(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
accuracy	0.25	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	33.55334336873066	#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
accuracy	0.1015625	(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) y) y)))
accuracy	0.14453125	(.f64 (.f64 (neg.f64 y) x) y)
accuracy	11.976115183955066	(/.f64 (.f64 (.f64 (neg.f64 y) x) y) y)
accuracy	33.310053813285826	#s(approx (- 1 (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) y) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.1015625	(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
accuracy	0.2265625	(/.f64 x (/.f64 #s(literal -1 binary64) y))
accuracy	33.310053813285826	#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.07421875	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy	0.21266792657411548	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))

Samples

90.0ms

256×

valid

Compiler

Compiled 171 to 31 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 48.0ms (64.2% of total)

ival-div: 16.0ms (21.4% of total)

ival-add: 4.0ms (5.4% of total)

ival-sub: 2.0ms (2.7% of total)

ival-pow2: 2.0ms (2.7% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series91.0ms (1.4%)

Memory

-5.8MiB live, 115.6MiB allocated

Counts

19 → 432

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	y	@	inf	((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* (neg y) x) y) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (neg y) x) y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (* (neg y) x) y) x))
31.0ms	x	@	-inf	((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* (neg y) x) y) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (neg y) x) y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (* (neg y) x) y) x))
3.0ms	x	@	inf	((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* (neg y) x) y) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (neg y) x) y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (* (neg y) x) y) x))
3.0ms	y	@	0	((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* (neg y) x) y) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (neg y) x) y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (* (neg y) x) y) x))
2.0ms	x	@	0	((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* (neg y) x) y) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (neg y) x) y) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (/ -1 x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (* (neg y) x) y) x))

simplify210.0ms (3.3%)

Memory

-35.3MiB live, 181.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 534×	`lower-fma.f64`
9 534×	`lower-fma.f32`
4 074×	`lower-*.f64`
4 074×	`lower-*.f32`
2 154×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	3086
1	446	2896
2	1066	2872
3	4563	2872
0	8400	2830

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 420

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

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

rewrite204.0ms (3.2%)

Memory

35.6MiB live, 262.3MiB allocated

Rules

11 012×	`lower-fma.f32`
11 008×	`lower-fma.f64`
4 124×	`lower-*.f32`
4 114×	`lower-*.f64`
2 552×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	197
0	54	186
1	216	169
2	1219	161
0	9238	161

Stop Event

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

Counts

19 → 826

Calls

Call 1

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

Outputs
(.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(.f64 (.f64 x (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64))
(.f64 (.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) x))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) x) (.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 (neg.f64 x) x) y) x))
(/.f64 (*.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 (neg.f64 x) x) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 (neg.f64 x) x) y) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 (neg.f64 x) x) y)))))
(/.f64 (neg.f64 (*.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 x)) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) (.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (.f64 x (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal -1 binary64)) (.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) x))
(/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(fma.f64 (.f64 x (pow.f64 y #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 y) y) x) x)
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 (.f64 (.f64 x x) y) #s(literal -1 binary64) x)
(fma.f64 (.f64 (.f64 (neg.f64 x) x) y) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(fma.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (pow.f64 y #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 x)) x)
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 (.f64 (.f64 y y) x) (*.f64 (/.f64 #s(literal -1 binary64) y) x) x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (.f64 y x) (pow.f64 y #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 (*.f64 y x) (neg.f64 x) x)
(fma.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (.f64 (.f64 (neg.f64 y) y) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) x)
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) y) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 y (.f64 x (pow.f64 y #s(literal -1 binary64))) (.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) y))
(fma.f64 x (*.f64 (neg.f64 y) x) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (neg.f64 x) x) y) x)
(+.f64 x (.f64 (.f64 (neg.f64 x) x) y))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
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(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
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(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(.f64 x (.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 x (neg.f64 (neg.f64 #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(.f64 x #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(neg.f64 (.f64 (neg.f64 x) #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) y)) (neg.f64 y))
(.f64 (.f64 (.f64 y x) (.f64 (*.f64 y y) x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (neg.f64 (.f64 (*.f64 (neg.f64 x) x) y)) (neg.f64 y))
(.f64 (.f64 (.f64 (neg.f64 y) x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)))
(.f64 (.f64 (*.f64 x x) y) (neg.f64 y))
(.f64 (.f64 (*.f64 (neg.f64 x) x) y) y)
(.f64 (.f64 (neg.f64 x) x) (*.f64 y y))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (*.f64 (neg.f64 y) x)))
(.f64 (.f64 (neg.f64 y) y) (*.f64 x x))
(.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (.f64 (.f64 (neg.f64 y) y) x) (*.f64 y x)))
(.f64 (neg.f64 x) (.f64 (*.f64 y y) x))
(.f64 (.f64 (.f64 y y) x) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y x)))
(.f64 (.f64 (*.f64 y y) x) (neg.f64 x))
(.f64 (.f64 x x) (*.f64 (neg.f64 y) y))
(.f64 (.f64 y y) (*.f64 (neg.f64 x) x))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 (.f64 y x) (*.f64 (neg.f64 y) x))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 (.f64 (.f64 (neg.f64 y) y) x) (.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
(.f64 (neg.f64 y) (neg.f64 (.f64 (*.f64 (neg.f64 x) x) y)))
(.f64 (neg.f64 y) (.f64 (*.f64 x x) y))
(.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 y (.f64 (*.f64 (neg.f64 x) x) y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(.f64 x (.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 (.f64 x x) y)) y)
(/.f64 (.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 (*.f64 x x) y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) (.f64 y x)) y)
(/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 y x)) (neg.f64 y))
(/.f64 (.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) y)
(/.f64 (.f64 (.f64 y x) (.f64 (.f64 y y) x)) (neg.f64 y))
(/.f64 (.f64 (.f64 x x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 (neg.f64 x) x) y) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 y y) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (.f64 (neg.f64 y) x) (pow.f64 (.f64 y x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))

eval211.0ms (3.3%)

Memory: 4.9MiB live, 457.8MiB allocated
Compiler: Compiled 20 595 to 2 646 computations (87.2% saved)

prune46.0ms (0.7%)

Memory

3.5MiB live, 161.9MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 312	1	1 313
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	1 314	9	1 323

Accuracy

100.0%

Counts

1 323 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
✓	28.7%	(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
	48.6%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	48.6%	(/.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))
✓	42.8%	(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) y) y)))
✓	48.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	53.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	45.1%	#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 353 to 153 computations (56.7% saved)

regimes27.0ms (0.4%)

Memory

30.5MiB live, 70.9MiB allocated

Counts

24 → 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)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))
(.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 y) x) x x)
(.f64 x #s(approx (- 1 ( x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 x (.f64 (neg.f64 y) y)) y)))
(.f64 x #s(approx (- 1 ( x y)) (/.f64 (.f64 (.f64 (neg.f64 y) x) y) y)))
(/.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 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (*.f64 x y) y) (neg.f64 x) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.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 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x x) y))))
(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))

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

Calls

3 calls:

11.0ms	y
7.0ms	x
7.0ms	(.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)

regimes9.0ms (0.1%)

Memory

-18.1MiB live, 19.7MiB allocated

Counts

5 → 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)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))
(.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:

4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	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

21.6MiB live, 21.6MiB allocated

Counts

4 → 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)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (.f64 (.f64 (neg.f64 x) x) y))
(.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:

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

Results

Accuracy	Segments	Branch
78.8%	3	`x`
74.1%	3	`y`
84.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

-30.9MiB live, 7.0MiB 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)))

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

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:

3.0ms

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

Results

Accuracy	Segments	Branch
82.7%	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

14.7MiB live, 14.7MiB 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	x
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
53.0%	1	`y`
53.0%	1	`x`
53.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1819676922098191e+214	2.0744279684987904e+215
0.0ms	-4.275633370472572e+126	-1.9210243263794156e+126

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1819676922098191e+214	2.0744279684987904e+215
0.0ms	-4.275633370472572e+126	-1.9210243263794156e+126

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify25.0ms (0.4%)

Memory

14.7MiB live, 52.6MiB 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 -3999999999999999699471046475971528170178683479339353845756903888901176799903172106412653975051270615006120233654622129131356160 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 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 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 -3999999999999999699471046475971528170178683479339353845756903888901176799903172106412653975051270615006120233654622129131356160 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 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 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 -3999999999999999699471046475971528170178683479339353845756903888901176799903172106412653975051270615006120233654622129131356160 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 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 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 -3999999999999999699471046475971528170178683479339353845756903888901176799903172106412653975051270615006120233654622129131356160 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 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 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 -3999999999999999699471046475971528170178683479339353845756903888901176799903172106412653975051270615006120233654622129131356160 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 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 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 -3999999999999999699471046475971528170178683479339353845756903888901176799903172106412653975051270615006120233654622129131356160 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 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 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)

soundness1.0s (15.6%)

Memory

-191.0MiB live, 418.7MiB allocated

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
9 438×	`lower-fma.f32`
9 432×	`lower-fma.f64`
4 738×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	140
0	43	121
1	179	121
2	1214	121
0	8807	121
0	34	368
1	108	332
2	189	332
3	514	332
4	2408	332
5	5858	332
0	8081	332
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13

Stop Event

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

Compiler

Compiled 150 to 68 computations (54.7% saved)

preprocess91.0ms (1.4%)

Memory: 20.8MiB live, 182.8MiB allocated
Compiler: Compiled 202 to 64 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	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

start0.0ms (0%)

analyze0.0ms (0%)

sample518.0ms (8%)

explain68.0ms (1.1%)

preprocess43.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify14.0ms (0.2%)

localize22.0ms (0.3%)

series6.0ms (0.1%)

simplify99.0ms (1.5%)

rewrite606.0ms (9.4%)

eval446.0ms (6.9%)

prune32.0ms (0.5%)

simplify142.0ms (2.2%)

localize98.0ms (1.5%)

series44.0ms (0.7%)

simplify200.0ms (3.1%)

rewrite282.0ms (4.4%)

eval412.0ms (6.4%)

prune47.0ms (0.7%)

simplify231.0ms (3.6%)

localize146.0ms (2.3%)

series63.0ms (1%)

simplify154.0ms (2.4%)

rewrite252.0ms (3.9%)

eval231.0ms (3.6%)

prune136.0ms (2.1%)

simplify99.0ms (1.5%)

localize129.0ms (2%)

series91.0ms (1.4%)

simplify210.0ms (3.3%)

rewrite204.0ms (3.2%)

eval211.0ms (3.3%)

prune46.0ms (0.7%)

regimes27.0ms (0.4%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.4%)

soundness1.0s (15.6%)

preprocess91.0ms (1.4%)

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