Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (28.5%)

Memory

-127.0MiB live, 1 090.9MiB allocated

Samples

840.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 384.0ms

ival-mult: 212.0ms (55.3% of total)

ival-sub: 159.0ms (41.5% of total)

ival-true: 6.0ms (1.6% of total)

exact: 4.0ms (1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain128.0ms (2.8%)

Memory

-30.4MiB live, 166.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(-.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 x y))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	60
↳	`(*.f64 x y)`	overflow	31

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 65 to 25 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (77.6% of total)

ival-sub: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess72.0ms (1.6%)

Memory

29.3MiB live, 105.4MiB allocated

Algorithm

1×	egg-herbie

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
408×	`lower-*.f32`
402×	`lower-*.f64`
324×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	70	35
2	169	35
3	556	35
4	1118	35
5	1440	35
6	1562	35
7	1562	35
8	1562	35
0	7	9
0	11	7
1	20	7
2	44	7
3	95	7
4	173	7
5	233	7
6	383	7
7	551	7
8	756	7
9	806	7
0	806	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify36.0ms (0.8%)

Memory

3.5MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
cost-diff	320	(-.f64 (.f64 x x) (.f64 x y))

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
408×	`lower-*.f32`
402×	`lower-*.f64`
140×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(-.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

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

localize24.0ms (0.5%)

Memory

-24.6MiB live, 49.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.542962557490618	(-.f64 (.f64 x x) (.f64 x y))

Samples

17.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 7.0ms (84.9% of total)

ival-sub: 1.0ms (12.1% 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

14.7MiB live, 14.7MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

simplify211.0ms (4.6%)

Memory

13.8MiB live, 293.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 292×	`lower-fma.f64`
5 292×	`lower-fma.f32`
3 234×	`lower-*.f64`
3 234×	`lower-*.f32`
1 098×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	411
1	132	411
2	315	411
3	1121	375
4	3468	375
5	5520	375
6	6522	375
0	8010	375

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite679.0ms (14.8%)

Memory

6.5MiB live, 718.5MiB allocated

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
4 364×	`lower-/.f64`
4 364×	`lower-/.f32`
3 768×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

Stop Event

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

Counts

4 → 304

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 x y))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)

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

eval94.0ms (2%)

Memory: 5.4MiB live, 121.0MiB allocated
Compiler: Compiled 15 927 to 1 074 computations (93.3% saved)

prune57.0ms (1.2%)

Memory

-16.6MiB live, 139.8MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	385	3	388
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	385	4	389

Accuracy

100.0%

Counts

389 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
✓	95.3%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	59.8%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	59.4%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify35.0ms (0.8%)

Memory

21.1MiB live, 59.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
412×	`lower-*.f32`
400×	`lower-*.f64`
180×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	24	65
1	42	65
2	80	65
3	136	65
4	220	65
5	331	65
6	497	65
7	747	65
8	830	65
9	832	65
0	832	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y #s(literal -2 binary64)))
x
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
#s(literal 2 binary64)
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(*.f64 x x)
x
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(-.f64 x y)
x
y
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y #s(literal -2 binary64)))
x
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
#s(literal 2 binary64)
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(*.f64 x x)
x
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
(-.f64 x y)
x
y
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize48.0ms (1%)

Memory

-3.6MiB live, 109.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
accuracy	25.710936384164242	#s(approx (- (* x x) (* x y)) (*.f64 x x))
accuracy	0	(*.f64 y #s(literal -2 binary64))
accuracy	0	(.f64 x (.f64 y #s(literal -2 binary64)))
accuracy	26.00368799569518	#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Samples

31.0ms

256×

valid

Compiler

Compiled 59 to 15 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (77.6% of total)

ival-sub: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

-2.4MiB live, 36.7MiB allocated

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (- x y) (* x 2))
0.0ms	x	@	0	(* (- x y) (* x 2))
0.0ms	x	@	inf	(* (- x y) (* x 2))
0.0ms	y	@	inf	(* (- x y) (* x 2))
0.0ms	y	@	0	(* (- x y) (* x 2))

simplify384.0ms (8.4%)

Memory

-27.5MiB live, 262.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 458×	`lower-fma.f64`
5 458×	`lower-fma.f32`
3 484×	`lower-*.f64`
3 484×	`lower-*.f32`
1 414×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	978
1	174	978
2	428	978
3	1516	870
4	3578	870
5	5328	870
6	6920	870
0	8124	870

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

Calls

Call 1

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

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

rewrite346.0ms (7.6%)

Memory

2.2MiB live, 426.5MiB allocated

Rules

5 698×	`lower-fma.f64`
5 698×	`lower-fma.f32`
4 890×	`lower-*.f32`
4 878×	`lower-*.f64`
2 122×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	24	57
1	66	57
2	383	57
3	3665	57
0	8256	57

Stop Event

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

Counts

9 → 212

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(*.f64 x x)
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(-.f64 x y)
(*.f64 x #s(literal 2 binary64))

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

eval81.0ms (1.8%)

Memory: 0.5MiB live, 77.0MiB allocated
Compiler: Compiled 6 152 to 567 computations (90.8% saved)

prune163.0ms (3.6%)

Memory

-9.6MiB live, 70.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	389	4	393

Accuracy

100.0%

Counts

393 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
✓	95.3%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	59.8%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
✓	59.4%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Compiler

Compiled 66 to 37 computations (43.9% saved)

regimes9.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (.f64 x x) (.f64 x y))
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Results

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes143.0ms (3.1%)

Memory

-26.5MiB live, 12.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))

Outputs

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))

(*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x)))

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))

Calls

4 calls:

138.0ms	x
2.0ms	y
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
81.3%	3	`x`
85.9%	3	`y`
79.2%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
79.2%	2	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Outputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 x (.f64 y #s(literal -2 binary64))))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
59.4%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
59.4%	1	`(-.f64 (.f64 x x) (.f64 x y))`
59.4%	1	`x`
59.4%	1	`y`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch135.0ms (3%)

Memory

-7.0MiB live, 32.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
123.0ms	7.344663126987698e-47	1.9026653449421065e-39
10.0ms	-7.610108759355139e-41	-2.356698344321084e-43

Samples

12.0ms

272×

valid

Compiler

Compiled 320 to 216 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (76.6% of total)

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	30	73
2	35	73
3	37	73
4	38	73

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))

(if (<=.f64 y #s(literal -4511666872309177/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (if (<=.f64 y #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))))

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))

Outputs

(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))

(if (<=.f64 y #s(literal -4511666872309177/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (if (<=.f64 y #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))))

#s(approx (* 2 (- (* x x) (* x y))) (*.f64 x (*.f64 y #s(literal -2 binary64))))

soundness545.0ms (11.9%)

Memory

-5.8MiB live, 147.5MiB allocated

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
5 292×	`lower-fma.f64`
5 292×	`lower-fma.f32`
4 364×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18
0	42	411
1	132	411
2	315	411
3	1121	375
4	3468	375
5	5520	375
6	6522	375
0	8010	375

Stop Event

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

Compiler

Compiled 80 to 42 computations (47.5% saved)

preprocess57.0ms (1.2%)

Memory: 30.9MiB live, 68.6MiB allocated
Compiler: Compiled 122 to 60 computations (50.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	17	71
0	24	65
1	42	65
2	80	65
3	136	65
4	220	65
5	331	65
6	497	65
7	747	65
8	830	65
9	832	65
0	832	65

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	17	71
0	24	65
1	42	65
2	80	65
3	136	65
4	220	65
5	331	65
6	497	65
7	747	65
8	830	65
9	832	65
0	832	65

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (28.5%)

explain128.0ms (2.8%)

preprocess72.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.8%)

localize24.0ms (0.5%)

series6.0ms (0.1%)

simplify211.0ms (4.6%)

rewrite679.0ms (14.8%)

eval94.0ms (2%)

prune57.0ms (1.2%)

simplify35.0ms (0.8%)

localize48.0ms (1%)

series12.0ms (0.3%)

simplify384.0ms (8.4%)

rewrite346.0ms (7.6%)

eval81.0ms (1.8%)

prune163.0ms (3.6%)

regimes9.0ms (0.2%)

regimes143.0ms (3.1%)

regimes5.0ms (0.1%)

bsearch135.0ms (3%)

simplify7.0ms (0.2%)

soundness545.0ms (11.9%)

preprocess57.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	17	71
0	24	65
1	42	65
2	80	65
3	136	65
4	220	65
5	331	65
6	497	65
7	747	65
8	830	65
9	832	65
0	832	65