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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample526.0ms (9.2%)

Memory

33.8MiB live, 729.3MiB allocated

Samples

336.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 135.0ms (71.6% of total)

ival-sub: 40.0ms (21.2% of total)

ival-true: 6.0ms (3.2% of total)

exact: 4.0ms (2.1% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain62.0ms (1.1%)

Memory

19.8MiB live, 102.1MiB 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

22.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

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

ival-mult: 7.0ms (69.5% of total)

ival-sub: 2.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess35.0ms (0.6%)

Memory

-31.6MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

-13.1MiB live, 25.6MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (62.3% of total)

ival-sub: 1.0ms (20.8% 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

9.6MiB live, 9.5MiB 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	y	@	0	((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))

simplify124.0ms (2.2%)

Memory

-4.1MiB live, 116.8MiB 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)

rewrite263.0ms (4.6%)

Memory

4.0MiB live, 310.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 614

Calls

Call 1

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

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

eval110.0ms (1.9%)

Memory: 6.1MiB live, 158.7MiB allocated
Compiler: Compiled 27 249 to 1 627 computations (94% saved)

prune193.0ms (3.4%)

Memory

-7.8MiB live, 233.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	675	9	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	676	9	685

Accuracy

100.0%

Counts

685 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
▶	88.8%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
	77.7%	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y x) (*.f64 y x) #s(literal 1 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))
	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
	99.9%	(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
▶	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
▶	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	48.4%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 182 to 108 computations (40.7% saved)

simplify333.0ms (5.8%)

Memory

-23.5MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 x (neg.f64 x))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 x)) y x)
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

464×	`lower-fma.f32`
458×	`lower-fma.f64`
368×	`lower-*.f32`
360×	`lower-*.f64`
272×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	110
0	35	107
1	67	107
2	107	107
3	187	107
4	363	107
5	574	107
6	942	107
7	1305	107
8	1603	107
9	1630	107
10	1639	107
11	1641	107
0	1641	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (1.5%)

Memory

24.9MiB live, 96.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.05078125	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)
accuracy	0.125	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
accuracy	0.2984418163659789	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(*.f64 x (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	7.164303595433489	(fma.f64 (*.f64 x (neg.f64 x)) y x)
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
accuracy	29.704498228520404	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.05859375	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	34.105016647550684	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.046875	(fma.f64 (*.f64 (neg.f64 y) x) x x)

Samples

40.0ms

256×

valid

Compiler

Compiled 104 to 22 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (42.5% of total)

ival-div: 8.0ms (30.9% of total)

ival-add: 3.0ms (11.6% of total)

ival-neg: 2.0ms (7.7% of total)

ival-sub: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

10.7MiB live, 48.4MiB allocated

Counts

14 → 300

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

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>) () ())) ())
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#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>) () ())) ())

Calls

6 calls:

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

simplify485.0ms (8.5%)

Memory

-3.8MiB live, 202.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 940×	`lower-fma.f64`
9 940×	`lower-fma.f32`
4 668×	`lower-*.f64`
4 668×	`lower-*.f32`
2 542×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	2176
1	500	2026
2	1211	2003
3	5242	2002
0	8381	1961

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 290

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

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

rewrite319.0ms (5.6%)

Memory

-10.2MiB live, 269.2MiB allocated

Rules

7 568×	`lower-fma.f32`
7 562×	`lower-fma.f64`
3 824×	`lower-*.f32`
3 816×	`lower-*.f64`
2 380×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	35	89
1	138	89
2	843	89
3	6604	89
0	8219	89

Stop Event

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

Counts

14 → 937

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

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

eval193.0ms (3.4%)

Memory: 24.0MiB live, 287.8MiB allocated
Compiler: Compiled 28 339 to 1 911 computations (93.3% saved)

prune175.0ms (3.1%)

Memory

-34.2MiB live, 256.1MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 302	4	1 306
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	1 306	9	1 315

Accuracy

100.0%

Counts

1 315 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
▶	88.8%	(fma.f64 (.f64 x (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))) y x)
✓	88.8%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
▶	48.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* y x) -1)) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))))
▶	99.9%	(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
✓	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	48.4%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 143 to 87 computations (39.2% saved)

simplify91.0ms (1.6%)

Memory

17.3MiB live, 89.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(.f64 x (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(fma.f64 (.f64 x (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))) y x)
cost-diff	1344	(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(.f64 y (.f64 x x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))
cost-diff	0	#s(approx (/ (/ -1 (+ (* y x) -1)) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* y x) -1)) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))))
cost-diff	0	(fma.f64 y x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
cost-diff	0	(neg.f64 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 (/ (/ -1 (+ (* y x) -1)) x)) (.f64 (.f64 (neg.f64 x) x) y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)

Rules

2 710×	`lower-fma.f32`
2 704×	`lower-fma.f64`
2 390×	`lower-*.f32`
2 376×	`lower-*.f64`
1 738×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	165
0	45	146
1	83	144
2	194	143
3	450	143
4	2134	143
5	4579	143
6	7513	143
0	8006	143

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.3%)

Memory

8.8MiB live, 127.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 x (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(neg.f64 x)
accuracy	7.164303595433489	(fma.f64 (.f64 x (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))) y x)
accuracy	32.246157722676706	(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
accuracy	0.125	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* y x) -1)) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))))
accuracy	0.40809575358942846	(/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))
accuracy	9.614918066643032	(.f64 y (.f64 x x))
accuracy	29.644180102403393	#s(approx (/ (/ -1 (+ (* y x) -1)) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x))))
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.0703125	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy	0.2984418163659789	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	9.614918066643032	(.f64 (.f64 (neg.f64 x) x) y)
accuracy	29.252087124692803	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (.f64 (.f64 (neg.f64 x) x) y))
accuracy	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.05859375	(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)

Samples

50.0ms

256×

valid

Compiler

Compiled 153 to 26 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 15.0ms (48.1% of total)

ival-div: 10.0ms (32% of total)

ival-add: 3.0ms (9.6% of total)

ival-neg: 3.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

6.1MiB live, 41.9MiB allocated

Counts

16 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((* (+ (* (neg x) y) 1) x) (+ (* (neg x) y) 1) (neg x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (* (neg x) x) y) (* (neg x) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (/ -1 (* y (* x x))) (* y (* x x)) (* (* (neg x) x) (/ 1 x)) (+ (* (* x (* (* (neg x) x) (/ 1 x))) y) x) (* x (* (* (neg x) x) (/ 1 x))))
2.0ms	x	@	inf	((* (+ (* (neg x) y) 1) x) (+ (* (neg x) y) 1) (neg x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (* (neg x) x) y) (* (neg x) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (/ -1 (* y (* x x))) (* y (* x x)) (* (* (neg x) x) (/ 1 x)) (+ (* (* x (* (* (neg x) x) (/ 1 x))) y) x) (* x (* (* (neg x) x) (/ 1 x))))
2.0ms	x	@	-inf	((* (+ (* (neg x) y) 1) x) (+ (* (neg x) y) 1) (neg x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (* (neg x) x) y) (* (neg x) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (/ -1 (* y (* x x))) (* y (* x x)) (* (* (neg x) x) (/ 1 x)) (+ (* (* x (* (* (neg x) x) (/ 1 x))) y) x) (* x (* (* (neg x) x) (/ 1 x))))
2.0ms	y	@	0	((* (+ (* (neg x) y) 1) x) (+ (* (neg x) y) 1) (neg x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (* (neg x) x) y) (* (neg x) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (/ -1 (* y (* x x))) (* y (* x x)) (* (* (neg x) x) (/ 1 x)) (+ (* (* x (* (* (neg x) x) (/ 1 x))) y) x) (* x (* (* (neg x) x) (/ 1 x))))
2.0ms	x	@	0	((* (+ (* (neg x) y) 1) x) (+ (* (neg x) y) 1) (neg x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (* (neg x) x) y) (* (neg x) x) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (/ -1 (* y (* x x))) (* y (* x x)) (* (* (neg x) x) (/ 1 x)) (+ (* (* x (* (* (neg x) x) (/ 1 x))) y) x) (* x (* (* (neg x) x) (/ 1 x))))

simplify191.0ms (3.3%)

Memory

-11.1MiB live, 227.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	2434
1	500	2302
2	1242	2279
3	5265	2278
0	8386	2237

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 326

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

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

rewrite263.0ms (4.6%)

Memory

-2.2MiB live, 308.6MiB allocated

Rules

8 574×	`lower-fma.f32`
8 568×	`lower-fma.f64`
4 618×	`lower-*.f32`
4 604×	`lower-*.f64`
2 896×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	136
0	45	115
1	160	114
2	959	111
3	7614	111
0	9061	111

Stop Event

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

Counts

16 → 1 438

Calls

Call 1

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

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

eval322.0ms (5.6%)

Memory: 18.7MiB live, 526.4MiB allocated
Compiler: Compiled 36 845 to 2 703 computations (92.7% saved)

prune233.0ms (4.1%)

Memory

26.0MiB live, 380.3MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 928	3	1 931
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	1 931	9	1 940

Accuracy

100.0%

Counts

1 940 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
✓	88.8%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	54.2%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	99.9%	(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
✓	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	48.4%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
▶	48.4%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y))
✓	48.4%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 81 to 48 computations (40.7% saved)

simplify64.0ms (1.1%)

Memory

-18.0MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

560×	`lower-fma.f64`
560×	`lower-fma.f32`
522×	`div-sub`
464×	`lower-/.f32`
464×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	30	111
1	48	107
2	79	105
3	134	99
4	298	97
5	472	97
6	959	97
7	1465	97
8	1749	97
9	1969	97
10	2029	97
11	2032	97
12	2032	97
0	2032	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1%)

Memory

22.3MiB live, 96.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.0703125	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
accuracy	0.2984418163659789	(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
accuracy	29.704498228520404	#s(approx (+ (* y x) -1) (*.f64 y x))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	9.6500743064408	(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y))
accuracy	29.252087124692803	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.1328125	(/.f64 x (/.f64 #s(literal -1 binary64) x))
accuracy	9.614918066643032	(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y)
accuracy	29.252087124692803	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y))

Samples

50.0ms

256×

valid

Compiler

Compiled 85 to 18 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 30.0ms (81.5% of total)

ival-mult: 5.0ms (13.6% of total)

ival-add: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

3.0MiB live, 40.8MiB allocated

Counts

12 → 240

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ x (/ -1 x)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (/ x (/ -1 x)) y) (/ -1 x) (/ (* x x) (/ -1 y)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* x x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (* y x))
3.0ms	y	@	inf	((/ x (/ -1 x)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (/ x (/ -1 x)) y) (/ -1 x) (/ (* x x) (/ -1 y)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* x x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (* y x))
1.0ms	y	@	0	((/ x (/ -1 x)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (/ x (/ -1 x)) y) (/ -1 x) (/ (* x x) (/ -1 y)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* x x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (* y x))
1.0ms	x	@	inf	((/ x (/ -1 x)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (/ x (/ -1 x)) y) (/ -1 x) (/ (* x x) (/ -1 y)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* x x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (* y x))
1.0ms	x	@	-inf	((/ x (/ -1 x)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* (/ x (/ -1 x)) y) (/ -1 x) (/ (* x x) (/ -1 y)) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (* x x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (* y x))

simplify157.0ms (2.7%)

Memory

-16.0MiB live, 263.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 008×	`lower-fma.f64`
11 008×	`lower-fma.f32`
3 808×	`lower-*.f64`
3 808×	`lower-*.f32`
2 396×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1496
1	371	1428
2	879	1416
3	3690	1416
0	8691	1386

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

rewrite104.0ms (1.8%)

Memory

26.4MiB live, 174.2MiB allocated

Rules

2 276×	`lower-fma.f64`
2 276×	`lower-fma.f32`
1 878×	`lower-*.f32`
1 872×	`lower-*.f64`
1 804×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	30	104
1	118	91
2	631	89
3	3657	82
0	9175	77

Stop Event

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

Counts

12 → 271

Calls

Call 1

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

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

eval353.0ms (6.2%)

Memory: -181.8MiB live, 177.4MiB allocated
Compiler: Compiled 5 275 to 557 computations (89.4% saved)

prune97.0ms (1.7%)

Memory

19.3MiB live, 133.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	504	1	505
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	504	10	514

Accuracy

100.0%

Counts

514 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (neg.f64 y) x) x x)
✓	88.8%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
✓	54.2%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
✓	99.9%	(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
✓	54.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	47.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	48.4%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) y)))
✓	48.4%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y))
✓	48.4%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (.f64 (.f64 (neg.f64 x) x) y))
	2.7%	#s(approx (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (.f64 (.f64 x x) y))

Compiler

Compiled 238 to 100 computations (58% saved)

regimes20.0ms (0.3%)

Memory

7.0MiB live, 45.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
6.0ms	x
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.3%)

Memory

-10.9MiB live, 31.5MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
4.0ms	x
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

-11.1MiB live, 27.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

2.0ms

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

Results

Accuracy	Segments	Branch
80.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-22.5MiB live, 16.5MiB allocated

Accuracy

Total -28.4b remaining (-83.5%)

Threshold costs -28.4b (-83.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
2.0ms	y
1.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify7.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	140
1	51	140
2	65	140
3	78	140
4	83	140
5	84	140

Stop Event

1×

saturated

Calls

Call 1

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

soundness567.0ms (9.9%)

Memory

-16.8MiB live, 294.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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

Compiler

Compiled 166 to 64 computations (61.4% saved)

preprocess77.0ms (1.3%)

Memory: -6.8MiB live, 129.6MiB allocated
Compiler: Compiled 224 to 60 computations (73.2% 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%)

sample526.0ms (9.2%)

explain62.0ms (1.1%)

preprocess35.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify14.0ms (0.2%)

localize16.0ms (0.3%)

series6.0ms (0.1%)

simplify124.0ms (2.2%)

rewrite263.0ms (4.6%)

eval110.0ms (1.9%)

prune193.0ms (3.4%)

simplify333.0ms (5.8%)

localize88.0ms (1.5%)

series21.0ms (0.4%)

simplify485.0ms (8.5%)

rewrite319.0ms (5.6%)

eval193.0ms (3.4%)

prune175.0ms (3.1%)

simplify91.0ms (1.6%)

localize74.0ms (1.3%)

series22.0ms (0.4%)

simplify191.0ms (3.3%)

rewrite263.0ms (4.6%)

eval322.0ms (5.6%)

prune233.0ms (4.1%)

simplify64.0ms (1.1%)

localize60.0ms (1%)

series17.0ms (0.3%)

simplify157.0ms (2.7%)

rewrite104.0ms (1.8%)

eval353.0ms (6.2%)

prune97.0ms (1.7%)

regimes20.0ms (0.3%)

regimes20.0ms (0.3%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness567.0ms (9.9%)

preprocess77.0ms (1.3%)

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