Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample548.0ms (21.7%)

Memory

11.0MiB live, 670.2MiB allocated

Samples

322.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-add: 76.0ms (54.5% of total)

ival-mult: 54.0ms (38.8% of total)

ival-true: 6.0ms (4.3% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain44.0ms (1.7%)

Memory

-6.7MiB live, 75.3MiB allocated

FPErrors

Click to see full error table

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

22.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

ival-add: 3.0ms (43.9% of total)

ival-mult: 3.0ms (43.9% of total)

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

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

preprocess90.0ms (3.6%)

Memory

4.2MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	211	35
3	572	35
4	1272	35
5	2103	35
6	2889	35
7	3045	35
8	3045	35
9	3045	35
10	3087	35
11	3103	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 4 computations (42.9% saved)

simplify5.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB 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) (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.5%)

Memory

11.2MiB live, 11.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.01171875	(*.f64 (+.f64 x y) (+.f64 x y))

Samples

8.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 2.0ms (62.7% of total)

ival-add: 1.0ms (31.3% of total)

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

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

series2.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify130.0ms (5.1%)

Memory

6.8MiB live, 155.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1603	117
4	3903	117
5	7023	117
0	8059	101

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite327.0ms (12.9%)

Memory

-5.1MiB live, 326.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2845	8
0	9192	8

Stop Event

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

Counts

2 → 989

Calls

Call 1

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

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

eval256.0ms (10.1%)

Memory: -11.1MiB live, 260.9MiB allocated
Compiler: Compiled 43 302 to 2 968 computations (93.1% saved)

prune16.0ms (0.6%)

Memory

20.0MiB live, 59.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 084	4	1 088
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 084	5	1 089

Accuracy

100.0%

Counts

1 089 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	58.9%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	55.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 53 to 29 computations (45.3% saved)

simplify6.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 y x) x)
cost-diff	0	(+.f64 y x)
cost-diff	3	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
cost-diff	0	(fma.f64 #s(literal 2 binary64) y x)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	24	74
1	39	74
2	55	74
3	90	74
4	115	74
5	130	74
6	141	74
0	141	74

Stop Event

1×	iter limit
1×	saturated
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 y y))
(*.f64 y y)
y
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 #s(literal 2 binary64) y x)
#s(literal 2 binary64)
y
x
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
(+.f64 y x)
y
x
(*.f64 (+.f64 y x) x)

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

localize57.0ms (2.3%)

Memory

4.7MiB live, 43.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0078125	(*.f64 (+.f64 y x) x)
accuracy	2.003884230844482	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy	26.302299440147262	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
accuracy	0.0	(*.f64 y y)
accuracy	28.57020831605399	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	25.79613946370465	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Samples

49.0ms

256×

valid

Compiler

Compiled 67 to 16 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (62.9% of total)

ival-add: 5.0ms (31.4% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (1.6%)

Memory

-28.2MiB live, 9.6MiB allocated

Counts

10 → 35

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	y	@	0	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
2.0ms	x	@	inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
1.0ms	x	@	-inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
1.0ms	y	@	inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))
1.0ms	y	@	-inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ y x) y) (* (+ y x) x)) (+ y x) (* (+ y x) x))

simplify145.0ms (5.8%)

Memory

43.3MiB live, 115.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	199
1	280	199
2	742	199
3	2192	199
4	4872	199
0	8078	175

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 33

Calls

Call 1

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

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

rewrite276.0ms (10.9%)

Memory

-17.0MiB live, 231.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
0	24	59
1	82	59
2	664	59
0	8316	59

Stop Event

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

Counts

10 → 674

Calls

Call 1

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

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

eval88.0ms (3.5%)

Memory: -11.5MiB live, 198.3MiB allocated
Compiler: Compiled 22 451 to 2 043 computations (90.9% saved)

prune14.0ms (0.6%)

Memory

12.1MiB live, 48.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	775	0	775
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	775	5	780

Accuracy

100.0%

Counts

780 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	58.9%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	55.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 106 to 46 computations (56.6% saved)

regimes10.0ms (0.4%)

Memory

-15.6MiB live, 23.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 x y)
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))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.8%	2	`x`
91.4%	4	`y`
62.6%	2	`(*.f64 (+.f64 x y) (+.f64 x y))`
98.9%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes3.0ms (0.1%)

Memory

-34.4MiB live, 4.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.6%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
59.7%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
59.7%	1	`x`
59.7%	1	`y`
59.7%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.356739287501552e-155	-3.1524712738425407e-177

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.356739287501552e-155	-3.1524712738425407e-177

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify11.0ms (0.4%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	25	77
2	39	77
3	67	77
4	90	77
5	105	77
6	114	77
7	120	77

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

soundness403.0ms (15.9%)

Memory

-46.5MiB live, 173.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1603	117
4	3903	117
5	7023	117
0	8059	101

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 95 to 35 computations (63.2% saved)

preprocess33.0ms (1.3%)

Memory: 15.7MiB live, 54.4MiB allocated
Remove: (sort x y)
Compiler: Compiled 222 to 78 computations (64.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample548.0ms (21.7%)

explain44.0ms (1.7%)

preprocess90.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize12.0ms (0.5%)

series2.0ms (0.1%)

simplify130.0ms (5.1%)

rewrite327.0ms (12.9%)

eval256.0ms (10.1%)

prune16.0ms (0.6%)

simplify6.0ms (0.2%)

localize57.0ms (2.3%)

series40.0ms (1.6%)

simplify145.0ms (5.8%)

rewrite276.0ms (10.9%)

eval88.0ms (3.5%)

prune14.0ms (0.6%)

regimes10.0ms (0.4%)

regimes7.0ms (0.3%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.4%)

soundness403.0ms (15.9%)

preprocess33.0ms (1.3%)

end0.0ms (0%)

Profiling