Metrics for Examples.Basics.BasicTests:f1 from sbv-4.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample801.0ms (16.7%)

Memory

18.0MiB live, 1 135.1MiB allocated

Samples

571.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-sub: 145.0ms (48.6% of total)

ival-add: 81.0ms (27.2% of total)

ival-mult: 63.0ms (21.1% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain59.0ms (1.2%)

Memory

-40.3MiB live, 131.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(*.f64 (+.f64 x y) (-.f64 x y))`
-	-	`(+.f64 x y)`
-	-	`(-.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-mult: 5.0ms (45.3% of total)

ival-sub: 3.0ms (27.2% of total)

ival-add: 3.0ms (27.2% of total)

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

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

preprocess794.0ms (16.6%)

Memory

31.3MiB live, 420.0MiB allocated

Algorithm

1×	egg-herbie

Rules

37 776×	`lower-fma.f64`
37 776×	`lower-fma.f32`
8 740×	`lower-+.f32`
8 738×	`lower-+.f64`
3 244×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	44	37
2	151	35
3	524	35
4	1147	35
5	1954	35
6	2477	35
7	3171	35
8	4140	35
9	4740	35
10	4944	35
11	5010	35
12	5074	35
13	5106	35
14	6378	35
15	7802	35
0	5	7
0	8	7
1	12	7
2	31	7
3	69	7
4	180	7
5	344	7
6	682	7
7	1276	7
8	2204	7
9	2825	7
10	2993	7
11	3035	7
12	3073	7
13	3073	7
14	3073	7
15	3075	7
0	9343	7

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify538.0ms (11.2%)

Memory

-14.0MiB live, 502.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-128	(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 x y)

Rules

37 776×	`lower-fma.f64`
37 776×	`lower-fma.f32`
8 740×	`lower-+.f32`
8 738×	`lower-+.f64`
3 244×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	12	15
2	31	15
3	69	15
4	180	15
5	344	15
6	682	15
7	1276	15
8	2204	15
9	2825	15
10	2993	15
11	3035	15
12	3073	15
13	3073	15
14	3073	15
15	3075	15
0	9343	15

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)

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

localize14.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 (+.f64 x y) (-.f64 x y))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (46.7% of total)

ival-sub: 1.0ms (23.3% of total)

ival-add: 1.0ms (23.3% of total)

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

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

series6.0ms (0.1%)

Memory

-30.1MiB live, 8.1MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((+ x y) (- x y) (* (+ x y) (- x y)))
1.0ms	x	@	-inf	((+ x y) (- x y) (* (+ x y) (- x y)))
1.0ms	y	@	inf	((+ x y) (- x y) (* (+ x y) (- x y)))
0.0ms	x	@	inf	((+ x y) (- x y) (* (+ x y) (- x y)))
0.0ms	y	@	-inf	((+ x y) (- x y) (* (+ x y) (- x y)))

simplify171.0ms (3.6%)

Memory

31.6MiB live, 175.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 152×	`lower-fma.f64`
14 152×	`lower-fma.f32`
2 614×	`lower--.f64`
2 614×	`lower--.f32`
2 222×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	309
1	265	249
2	786	249
3	3277	249
0	8535	249

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

Outputs
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -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 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -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)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (neg.f64 y) y (*.f64 x x))

rewrite286.0ms (6%)

Memory

-20.4MiB live, 433.2MiB allocated

Rules

5 088×	`lower-fma.f64`
5 088×	`lower-fma.f32`
4 974×	`lower-*.f32`
4 972×	`lower-*.f64`
3 706×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	29	13
2	250	13
3	3945	13
0	9475	13

Stop Event

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

Counts

3 → 1 091

Calls

Call 1

Inputs
(+.f64 x y)
(-.f64 x y)
(*.f64 (+.f64 x y) (-.f64 x y))

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

eval149.0ms (3.1%)

Memory: 30.3MiB live, 252.9MiB allocated
Compiler: Compiled 36 005 to 2 885 computations (92% saved)

prune38.0ms (0.8%)

Memory

-33.5MiB live, 69.7MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1 152	2	1 154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 152	3	1 155

Accuracy

100.0%

Counts

1 155 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
▶	52.5%	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
▶	54.9%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify692.0ms (14.5%)

Memory

14.6MiB live, 503.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Rules

74 416×	`lower-fma.f64`
74 416×	`lower-fma.f32`
6 048×	`lower-*.f32`
6 044×	`lower-*.f64`
4 262×	`distribute-rgt-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	13	34
1	23	34
2	45	34
3	99	34
4	265	34
5	500	34
6	964	34
7	1631	34
8	3019	34
9	3888	34
10	4127	34
11	4252	34
12	4341	34
13	4343	34
14	4830	34
15	5312	34
16	5712	34
17	5892	34
18	5952	34
19	5976	34
20	6000	34
21	6000	34
22	6096	34
23	6096	34
24	6585	34
25	6985	34
26	7145	34
27	7305	34
28	7385	34
29	7385	34
30	7385	34
0	9937	34

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y

Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y

localize21.0ms (0.4%)

Memory

36.4MiB live, 36.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	30.39417369296882	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
accuracy	0	(*.f64 x x)
accuracy	28.838859205695034	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Samples

15.0ms

256×

valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

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

ival-mult: 4.0ms (47.1% of total)

ival-sub: 1.0ms (11.8% of total)

ival-add: 1.0ms (11.8% of total)

ival-neg: 1.0ms (11.8% of total)

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

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

series6.0ms (0.1%)

Memory

-29.6MiB live, 9.1MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
1.0ms	y	@	inf	((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
1.0ms	y	@	0	((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
0.0ms	x	@	-inf	((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
0.0ms	x	@	inf	((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))

simplify291.0ms (6.1%)

Memory

3.9MiB live, 226.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 420×	`lower-fma.f64`
14 420×	`lower-fma.f32`
2 986×	`lower-*.f64`
2 986×	`lower-*.f32`
2 168×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	624
1	194	480
2	604	456
3	2453	456
4	7125	424
0	8327	416

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite275.0ms (5.7%)

Memory

-23.7MiB live, 89.1MiB allocated

Rules

2 452×	`lower-fma.f64`
2 452×	`lower-fma.f32`
2 294×	`lower-/.f64`
2 294×	`lower-/.f32`
1 924×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	13	32
1	40	32
2	275	32
3	4253	25
0	10067	21

Stop Event

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

Counts

5 → 70

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)

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

eval15.0ms (0.3%)

Memory: 26.5MiB live, 26.5MiB allocated
Compiler: Compiled 1 153 to 228 computations (80.2% saved)

prune44.0ms (0.9%)

Memory

-24.2MiB live, 19.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	154	3	157

Accuracy

100.0%

Counts

157 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
✓	52.5%	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
✓	54.9%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Compiler

Compiled 32 to 24 computations (25% saved)

regimes6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (+.f64 x y) (-.f64 x y))

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))

Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Calls

3 calls:

2.0ms	y
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
81.0%	2	`x`
78.7%	2	`y`
99.3%	2	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
54.9%	1	`y`
54.9%	1	`x`
54.9%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5179285633794662e-300	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify29.0ms (0.6%)

Memory

-18.0MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	26	51
2	31	51
3	34	51
4	35	51

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (+.f64 x y) (-.f64 x y))

(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))

#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))
(if (<=.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx ( (+ x y) (- x y)) (.f64 (neg.f64 y) y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
(if (<=.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx ( (+ x y) (- x y)) (.f64 (neg.f64 y) y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))

soundness468.0ms (9.8%)

Memory

-3.6MiB live, 151.8MiB allocated

Rules

14 152×	`lower-fma.f64`
14 152×	`lower-fma.f32`
2 614×	`lower--.f64`
2 614×	`lower--.f32`
2 222×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	309
1	265	249
2	786	249
3	3277	249
0	8535	249

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 40 to 23 computations (42.5% saved)

preprocess69.0ms (1.5%)

Memory

16.7MiB live, 107.0MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 130 to 76 computations (41.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample801.0ms (16.7%)

explain59.0ms (1.2%)

preprocess794.0ms (16.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify538.0ms (11.2%)

localize14.0ms (0.3%)

series6.0ms (0.1%)

simplify171.0ms (3.6%)

rewrite286.0ms (6%)

eval149.0ms (3.1%)

prune38.0ms (0.8%)

simplify692.0ms (14.5%)

localize21.0ms (0.4%)

series6.0ms (0.1%)

simplify291.0ms (6.1%)

rewrite275.0ms (5.7%)

eval15.0ms (0.3%)

prune44.0ms (0.9%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify29.0ms (0.6%)

soundness468.0ms (9.8%)

preprocess69.0ms (1.5%)

end0.0ms (0%)

Profiling