Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, 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 7 to 6 computations (14.3% saved)

sample561.0ms (19.3%)

Memory

10.0MiB live, 798.7MiB allocated

Samples

357.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 86.0ms (90.2% of total)

ival-true: 6.0ms (6.3% of total)

ival-assert: 3.0ms (3.1% of total)

Bogosity

explain50.0ms (1.7%)

Memory

-9.2MiB live, 105.2MiB allocated

FPErrors

Click to see full error table

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

20.0ms

512×

valid

Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions

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

ival-add: 7.0ms (91.6% of total)

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

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

preprocess24.0ms (0.8%)

Memory

-4.9MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Rules

41×	`distribute-rgt-in`
36×	`sub-neg`
31×	`cancel-sign-sub-inv`
30×	`associate-+l-`
25×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

7×	`lower-+.f32`
5×	`lower-+.f64`
2×	`associate-+l+`
2×	`lift-+.f64`
2×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
3	14	10
4	15	10
0	15	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.6%)

Memory

-15.6MiB live, 23.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.0390625	(+.f64 (+.f64 x y) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (73.4% of total)

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

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

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify172.0ms (5.9%)

Memory

34.4MiB live, 232.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 202×	`lower-fma.f64`
4 202×	`lower-fma.f32`
1 086×	`lower-*.f64`
1 086×	`lower-*.f32`
846×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
1	102	162
2	231	162
3	691	162
4	1802	162
5	2753	162
6	3810	162
7	4278	162
8	4562	162
9	4657	162
10	6558	162
0	8343	144

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 39

Calls

Call 1

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

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

rewrite194.0ms (6.7%)

Memory

10.1MiB live, 400.3MiB allocated

Rules

2 984×	`lower-fma.f64`
2 984×	`lower-fma.f32`
2 249×	`lower-*.f64`
2 249×	`lower-*.f32`
1 089×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	32	8
2	279	8
3	4621	8
0	8114	7

Stop Event

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

Counts

2 → 205

Calls

Call 1

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

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

eval32.0ms (1.1%)

Memory: -24.3MiB live, 86.1MiB allocated
Compiler: Compiled 6 156 to 611 computations (90.1% saved)

prune63.0ms (2.1%)

Memory

-2.3MiB live, 137.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	2	245

Accuracy

100.0%

Counts

245 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	51.0%	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 2 binary64) x y)
cost-diff	0	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
cost-diff	128	(*.f64 #s(literal 2 binary64) x)

Rules

7×	`lower-+.f64`
7×	`lower-+.f32`
3×	`+-commutative`
2×	`associate-+l+`
2×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	10	21
1	15	21
2	18	20
3	18	20
0	18	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.7%)

Memory

-27.7MiB live, 51.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	31.374117434258515	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 4.0ms (62.8% of total)

ival-mult: 2.0ms (31.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* 2 x)
0.0ms	x	@	inf	(* 2 x)
0.0ms	x	@	0	(* 2 x)
0.0ms	y	@	0	(+ (* 2 x) y)
0.0ms	x	@	0	(+ (* 2 x) y)

simplify187.0ms (6.4%)

Memory

31.9MiB live, 148.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 094×	`lower-/.f32`
2 094×	`lower-/.f64`
1 805×	`associate-/r*`
1 176×	`lower-fma.f64`
1 176×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	240
1	64	240
2	141	240
3	395	240
4	1103	240
5	2528	240
6	3417	240
7	4291	240
8	4767	240
9	4942	240
10	5032	240
11	5730	240
12	6046	240
13	6050	240
14	6050	240
15	6050	240
0	8061	204

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite257.0ms (8.8%)

Memory

-17.4MiB live, 249.1MiB allocated

Rules

2 475×	`lower-fma.f32`
2 474×	`lower-fma.f64`
2 166×	`lower-*.f32`
2 165×	`lower-*.f64`
1 399×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	48	16
2	404	15
3	6031	15
0	8035	15

Stop Event

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

Counts

3 → 149

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(approx (+ (+ x y) x) (+.f64 x x))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (fma.f64 x #s(literal 2 binary64) y))) (+.f64 #s(literal 0 binary64) y))) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x (fma.f64 x #s(literal 2 binary64) y))))
(.f64 (/.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (neg.f64 x) y)))) (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x) y) x) (neg.f64 y)) (.f64 (neg.f64 x) y) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (+.f64 y x))))) (fma.f64 (.f64 (neg.f64 x) y) (-.f64 (.f64 (neg.f64 x) y) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x)))))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 x x) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 (neg.f64 y) y) y))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (neg.f64 (.f64 (-.f64 y (+.f64 x x)) y))))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (neg.f64 (*.f64 (-.f64 y (+.f64 x x)) y))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 y y) y)) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (-.f64 y (+.f64 x x)) y) y) (-.f64 y (+.f64 x x))) (.f64 (-.f64 y (+.f64 x x)) y)))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (-.f64 y (+.f64 x x)) y) (-.f64 (.f64 (-.f64 y (+.f64 x x)) y) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x #s(literal 2 binary64) y))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 x x) y) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (-.f64 (+.f64 x x) y) (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x #s(literal 2 binary64) y))
(.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x x) y)) (.f64 (-.f64 (+.f64 x x) y) (fma.f64 x #s(literal 2 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y))) (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 y y) y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 2 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))
(.f64 (.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) y)) (-.f64 (+.f64 x x) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 x x) y))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)))))
(.f64 (.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) y)) (+.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 0 binary64) y))))
(.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (neg.f64 (fma.f64 x #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)))))
(.f64 (.f64 (-.f64 (+.f64 x x) y) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x x) y)))
(.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)) (/.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y))))
(.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)) (.f64 (fma.f64 x #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)))))
(.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y))))
(.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (/.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (*.f64 x x))))
(.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (.f64 (fma.f64 x #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)))))
(.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) (/.f64 (+.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) (/.f64 (-.f64 (+.f64 x x) y) (-.f64 (+.f64 x x) y)))
(.f64 (fma.f64 x #s(literal 2 binary64) y) (.f64 (+.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))))
(.f64 (fma.f64 x #s(literal 2 binary64) y) (.f64 (-.f64 (+.f64 x x) y) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x x) y))))
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 x #s(literal 2 binary64) y) (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y (+.f64 x x)) (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x x)) (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (fma.f64 x #s(literal 2 binary64) y))) (+.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 x x) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 x (fma.f64 x #s(literal 2 binary64) y))) (+.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)))) (.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x (fma.f64 x #s(literal 2 binary64) y))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))) (.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (+.f64 y x)))))
(/.f64 (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x x) y))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x x) y))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y y)))))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)))) (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 (neg.f64 y) y) y)))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 y y)) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)))) (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x)) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y) (.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 (+.f64 x x) y) (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (+.f64 x x) y))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y))) (.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y)))) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 x x) (+.f64 #s(literal 0 binary64) y)))) (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) y))))
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(fma.f64 (+.f64 x x) (/.f64 (+.f64 x x) (-.f64 (+.f64 x x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 x x) y))))
(fma.f64 x (/.f64 (.f64 #s(literal 4 binary64) x) (-.f64 (+.f64 x x) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (+.f64 x x) y))))
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 x x) x) (-.f64 (+.f64 x x) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (+.f64 x x) y))))
(fma.f64 #s(literal 2 binary64) x y)
(-.f64 (+.f64 x (.f64 x (/.f64 x (-.f64 x y)))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 (.f64 x x) (neg.f64 y)) (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (neg.f64 y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (+.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 y (+.f64 x x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (+.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 x x) y)))
(-.f64 (.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y))) (/.f64 (.f64 x x) (+.f64 #s(literal 0 binary64) y)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (-.f64 (.f64 y (/.f64 y (-.f64 x y))) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (+.f64 x x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 x x) y))))
(+.f64 (.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 0 binary64) y))))
(+.f64 (+.f64 y x) x)
(+.f64 y (+.f64 x x))
(+.f64 (+.f64 x x) y)
(+.f64 x (+.f64 y x))

eval22.0ms (0.8%)

Memory: 7.0MiB live, 43.8MiB allocated
Compiler: Compiled 4 636 to 431 computations (90.7% saved)

prune47.0ms (1.6%)

Memory

-6.6MiB live, 66.1MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	203	2	205

Accuracy

100.0%

Counts

205 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	51.0%	#s(approx (+ (+ x y) x) (+.f64 x x))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.2%)

Memory

-32.7MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

7×	`lower-+.f32`
6×	`lower-+.f64`
2×	`associate-+l+`
2×	`lower-*.f64`
2×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	7	13
1	12	13
2	15	13
0	15	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.5%)

Memory

17.6MiB live, 17.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x x)
accuracy	31.374117434258515	#s(approx (+ (+ x y) x) (+.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-add: 3.0ms (80.8% of total)

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

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

simplify195.0ms (6.7%)

Memory

6.5MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 094×	`lower-/.f32`
2 094×	`lower-/.f64`
1 854×	`associate-/r*`
1 176×	`lower-fma.f64`
1 176×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	395	138
4	1104	138
5	2534	138
6	3433	138
7	4306	138
8	4782	138
9	4957	138
10	5047	138
11	5745	138
12	6061	138
13	6065	138
14	6065	138
15	6065	138
0	8138	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

rewrite46.0ms (1.6%)

Memory

-11.3MiB live, 62.7MiB allocated

Rules

932×	`frac-times`
264×	`associate-*l/`
236×	`associate-*r/`
152×	`frac-2neg`
149×	`flip3-+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
0	7	12
1	41	12
2	346	12
3	7458	12
0	7	12
1	41	12
2	346	12
0	7	12
1	41	12
0	346	11

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

2 → 12

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 11.7MiB live, 11.7MiB allocated
Compiler: Compiled 270 to 26 computations (90.4% saved)

prune4.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Accuracy

100.0%

Counts

47 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
✓	51.0%	#s(approx (+ (+ x y) x) (+.f64 x x))

Compiler

Compiled 31 to 15 computations (51.6% saved)

regimes9.0ms (0.3%)

Memory

-20.2MiB live, 17.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`y`
51.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify13.0ms (0.5%)

Memory

-23.4MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	12	18

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x y) x)
#s(approx (+ (+ x y) x) (+.f64 x x))

Outputs
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 y x) x)
#s(approx (+ (+ x y) x) (+.f64 x x))

soundness852.0ms (29.2%)

Memory

-2.9MiB live, 270.3MiB allocated

Rules

4 202×	`lower-fma.f64`
4 202×	`lower-fma.f32`
2 984×	`lower-fma.f64`
2 984×	`lower-fma.f32`
2 475×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	32	8
2	279	8
3	4621	8
0	8114	7
0	8	16
0	10	16
1	48	16
2	404	15
3	6031	15
0	8035	15
0	35	162
1	102	162
2	231	162
3	691	162
4	1802	162
5	2753	162
6	3810	162
7	4278	162
8	4562	162
9	4657	162
10	6558	162
0	8343	144

Stop Event

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

preprocess104.0ms (3.6%)

Memory: -6.4MiB live, 88.6MiB allocated
Compiler: Compiled 58 to 32 computations (44.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

start0.0ms (0%)

analyze0.0ms (0%)

sample561.0ms (19.3%)

explain50.0ms (1.7%)

preprocess24.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.6%)

series3.0ms (0.1%)

simplify172.0ms (5.9%)

rewrite194.0ms (6.7%)

eval32.0ms (1.1%)

prune63.0ms (2.1%)

simplify4.0ms (0.1%)

localize21.0ms (0.7%)

series3.0ms (0.1%)

simplify187.0ms (6.4%)

rewrite257.0ms (8.8%)

eval22.0ms (0.8%)

prune47.0ms (1.6%)

simplify5.0ms (0.2%)

localize13.0ms (0.5%)

series1.0ms (0%)

simplify195.0ms (6.7%)

rewrite46.0ms (1.6%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes9.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

simplify13.0ms (0.5%)

soundness852.0ms (29.2%)

preprocess104.0ms (3.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4