Metrics for Examples.Basics.BasicTests:f1 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 7 computations (22.2% saved)

sample779.0ms (16.5%)

Memory

12.7MiB live, 842.9MiB allocated

Samples

431.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 56.0ms (35.3% of total)

ival-add: 55.0ms (34.7% of total)

ival-sub: 39.0ms (24.6% of total)

ival-true: 5.0ms (3.2% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain210.0ms (4.4%)

Memory

-13.1MiB live, 59.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

115.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-sub: 96.0ms (93.2% of total)

ival-add: 3.0ms (2.9% of total)

ival-mult: 3.0ms (2.9% of total)

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

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

preprocess787.0ms (16.7%)

Memory

12.3MiB live, 256.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify476.0ms (10.1%)

Memory

15.6MiB live, 376.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

-4.6MiB live, 33.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 2.0ms (44.6% of total)

ival-sub: 1.0ms (22.3% of total)

ival-add: 1.0ms (22.3% of total)

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

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

series5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify237.0ms (5%)

Memory

-15.0MiB live, 221.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

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

rewrite243.0ms (5.1%)

Memory

-6.4MiB live, 320.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 1 091

Calls

Call 1

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

Outputs
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eval251.0ms (5.3%)

Memory: 32.8MiB live, 334.9MiB allocated
Compiler: Compiled 38 042 to 2 888 computations (92.4% saved)

prune67.0ms (1.4%)

Memory

-15.0MiB live, 63.9MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

100.0%

Counts

1 155 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
▶	55.8%	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
▶	53.6%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify646.0ms (13.7%)

Memory

18.4MiB live, 492.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.9%)

Memory

-17.0MiB live, 34.0MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	28.281272384916207	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
accuracy	0	(*.f64 x x)
accuracy	29.674714383152118	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Samples

15.0ms

256×

valid

Compiler

Compiled 61 to 20 computations (67.2% saved)

Precisions

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

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

ival-add: 2.0ms (23.6% of total)

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

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

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

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

series6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

Calls

6 calls:

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

simplify271.0ms (5.7%)

Memory

4.1MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	624
1	194	480
2	604	456
3	2453	456
4	7126	424
0	8328	416

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite140.0ms (3%)

Memory

9.3MiB live, 91.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Counts

5 → 70

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval24.0ms (0.5%)

Memory: 0.8MiB live, 39.3MiB allocated
Compiler: Compiled 2 339 to 234 computations (90% saved)

prune11.0ms (0.2%)

Memory

-14.7MiB live, 21.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

157 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
✓	55.8%	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
✓	53.6%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Compiler

Compiled 60 to 33 computations (45% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes109.0ms (2.3%)

Memory

-46.8MiB live, 54.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

105.0ms	y
2.0ms	x
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
80.8%	2	`x`
79.0%	2	`y`
99.5%	2	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.6%	1	`y`
53.6%	1	`x`
53.6%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.51306e-319	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify50.0ms (1.1%)

Memory

18.1MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))

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

Outputs

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

(if (<=.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))

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

soundness295.0ms (6.2%)

Memory

-18.0MiB live, 134.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 61 to 26 computations (57.4% saved)

preprocess49.0ms (1%)

Memory

5.3MiB live, 125.8MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 172 to 82 computations (52.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample779.0ms (16.5%)

explain210.0ms (4.4%)

preprocess787.0ms (16.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify476.0ms (10.1%)

localize17.0ms (0.4%)

series5.0ms (0.1%)

simplify237.0ms (5%)

rewrite243.0ms (5.1%)

eval251.0ms (5.3%)

prune67.0ms (1.4%)

simplify646.0ms (13.7%)

localize41.0ms (0.9%)

series6.0ms (0.1%)

simplify271.0ms (5.7%)

rewrite140.0ms (3%)

eval24.0ms (0.5%)

prune11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes109.0ms (2.3%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify50.0ms (1.1%)

soundness295.0ms (6.2%)

preprocess49.0ms (1%)

end0.0ms (0%)

Profiling