Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 8 computations (11.1% saved)

sample613.0ms (15.4%)

Memory

11.5MiB live, 876.9MiB allocated

Samples

388.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 85.0ms (38.2% of total)

ival-sub: 63.0ms (28.3% of total)

ival-add: 60.0ms (26.9% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain101.0ms (2.5%)

Memory

1.5MiB live, 89.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) y)`
-	-	`y`
-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
-	-	`#s(literal 1 binary64)`
-	-	`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

62.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sub: 42.0ms (85.3% of total)

ival-add: 3.0ms (6.1% of total)

ival-mult: 3.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (1.3%)

Memory

27.1MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	39	39
2	123	37
3	509	35
4	1023	35
5	1335	35
6	1376	35
7	1380	35
0	6	7
0	9	7
1	15	7
2	27	7
3	58	7
4	109	7
5	191	7
6	354	7
7	562	7
8	636	7
9	641	7
0	641	6

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 y x (-.f64 y x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify28.0ms (0.7%)

Memory

-27.3MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

21.3MiB live, 21.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (41.4% of total)

ival-sub: 1.0ms (20.7% of total)

ival-add: 1.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())

#s(alt #<batchref> (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())

#s(alt #<batchref> (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms	y	@	0	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms	x	@	inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	-inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms	x	@	-inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))

simplify151.0ms (3.8%)

Memory

-19.4MiB live, 97.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	140	291
2	363	291
3	978	291
4	2451	291
5	3589	291
6	4355	291
7	5300	291
8	5826	291
9	6390	291
10	7433	291
0	8102	250

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

rewrite179.0ms (4.5%)

Memory

3.6MiB live, 199.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13

Stop Event

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

Counts

3 → 328

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval90.0ms (2.3%)

Memory: -13.9MiB live, 110.0MiB allocated
Compiler: Compiled 8 272 to 1 057 computations (87.2% saved)

prune7.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	380	4	384
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	4	385

Accuracy

100.0%

Counts

385 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	60.6%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	63.4%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
▶	38.3%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify41.0ms (1%)

Memory

-7.1MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ x 1) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
cost-diff	0	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (+ x 1) y) (*.f64 y x))
cost-diff	0	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
cost-diff	0	(fma.f64 y x y)
cost-diff	0	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	80
0	22	80
1	35	76
2	53	76
3	86	76
4	168	76
5	315	76
6	529	76
7	750	76
8	825	76
9	832	76
0	832	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.9%)

Memory

18.1MiB live, 61.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	0.01171875	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	29.77178777589854	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy	0	(*.f64 y x)
accuracy	32.9406449923035	#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy	0	(fma.f64 y x y)
accuracy	23.430742957440884	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
accuracy	0	(neg.f64 x)
accuracy	39.519753229341184	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Samples

28.0ms

256×

valid

Compiler

Compiled 141 to 28 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 3.0ms (33.1% of total)

ival-mult: 3.0ms (33.1% of total)

ival-sub: 1.0ms (11% of total)

ival-neg: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Memory

-15.9MiB live, 21.9MiB allocated

Counts

10 → 216

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ x 1) y) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	x	@	inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	x	@	-inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	y	@	inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	y	@	0	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))

simplify293.0ms (7.4%)

Memory

9.7MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1058
1	149	1058
2	398	1058
3	1017	1058
4	2507	1058
5	3650	1058
6	4415	1058
7	5360	1058
8	5884	1058
9	6446	1058
10	7489	1058
0	8008	915

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 207

Calls

Call 1

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

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

rewrite294.0ms (7.4%)

Memory

-20.6MiB live, 174.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	22	72
1	90	68
2	655	68
0	8470	68

Stop Event

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

Counts

10 → 336

Calls

Call 1

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

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>
#<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>
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eval228.0ms (5.7%)

Memory: 11.1MiB live, 84.3MiB allocated
Compiler: Compiled 14 441 to 1 019 computations (92.9% saved)

prune13.0ms (0.3%)

Memory

28.2MiB live, 28.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	542	1	543
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	542	5	547

Accuracy

100.0%

Counts

547 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	60.6%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	63.4%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	38.3%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	25.0%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 59 to 43 computations (27.1% saved)

simplify73.0ms (1.8%)

Memory

-51.0MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) y) (*.f64 y x))
cost-diff	0	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	31	31
3	49	31
4	103	31
5	185	31
6	344	31
7	555	31
8	627	31
9	632	31
0	632	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
y
x

Outputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
y
x

localize38.0ms (0.9%)

Memory

8.7MiB live, 46.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	23.430742957440884	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy	32.9406449923035	#s(approx (+ (* y x) y) (*.f64 y x))

Samples

32.0ms

256×

valid

Compiler

Compiled 50 to 21 computations (58% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (45.1% of total)

ival-mult: 3.0ms (33.8% of total)

ival-sub: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt #<batchref> (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (+ (* y x) y) (* y x))
0.0ms	x	@	-inf	((- (* (+ x 1) y) x) (+ (* y x) y) (* y x))
0.0ms	y	@	inf	((- (* (+ x 1) y) x) (+ (* y x) y) (* y x))
0.0ms	x	@	inf	((- (* (+ x 1) y) x) (+ (* y x) y) (* y x))
0.0ms	y	@	0	((- (* (+ x 1) y) x) (+ (* y x) y) (* y x))

simplify363.0ms (9.1%)

Memory

13.7MiB live, 294.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	333
1	140	333
2	388	333
3	964	333
4	2535	333
5	3747	333
6	4652	333
7	5255	333
8	5571	333
9	5776	333
10	5871	333
11	5911	333
12	5931	333
13	5931	333
14	5949	333
15	5949	333
0	9097	292

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite174.0ms (4.4%)

Memory

-5.8MiB live, 222.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	12	29
1	55	29
2	403	29
3	5529	29
0	8216	26

Stop Event

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

Counts

3 → 6

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)

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

eval7.0ms (0.2%)

Memory: 20.1MiB live, 20.0MiB allocated
Compiler: Compiled 1 334 to 34 computations (97.5% saved)

prune36.0ms (0.9%)

Memory

-7.6MiB live, 43.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	76	5	81

Accuracy

100.0%

Counts

81 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	60.6%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	63.4%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	38.3%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	25.0%	#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 125 to 67 computations (46.4% saved)

regimes21.0ms (0.5%)

Memory

-17.8MiB live, 21.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
98.6%	3	`x`
99.1%	3	`y`
91.4%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.5%)

Memory

-23.6MiB live, 14.5MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)

Outputs
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)

Calls

3 calls:

13.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
67.0%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
87.2%	3	`x`
87.0%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))

Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
87.0%	3	`y`
69.3%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))

Outputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
44.6%	4	`x`
51.9%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
59.6%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Calls

3 calls:

1.0ms	y
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	x

Results

Accuracy	Segments	Branch
38.3%	1	`x`
38.3%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
38.3%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch56.0ms (1.4%)

Memory

-26.5MiB live, 47.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.7386817013662248e-15	19.284957673673215
35.0ms	-1404.6598494541972	-0.6054304413452645

Samples

36.0ms

288×

valid

Compiler

Compiled 388 to 335 computations (13.7% saved)

Precisions

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

ival-add: 2.0ms (36.1% of total)

ival-mult: 2.0ms (36.1% of total)

ival-sub: 1.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.5%)

Memory

36.9MiB live, 36.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	59628.84573265262	265211287687.36978
6.0ms	-4.906554476387943e-6	-1.3988171539116562e-6

Samples

9.0ms

224×

valid

Compiler

Compiled 332 to 263 computations (20.8% saved)

Precisions

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

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

ival-sub: 1.0ms (23.4% of total)

ival-add: 1.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.5%)

Memory

-5.0MiB live, 30.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.065355375324185e-16	6.983979405955745e-16
10.0ms	-2.8798684968622467e-72	-9.42956895360499e-73

Samples

11.0ms

176×

valid

Compiler

Compiled 252 to 209 computations (17.1% saved)

Precisions

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

ival-sub: 1.0ms (30.1% of total)

ival-add: 1.0ms (30.1% of total)

ival-mult: 1.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.4%)

Memory

4.7MiB live, 39.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	19.284957673673215	7232907.613054796
1.0ms	-1404.6598494541972	-0.6054304413452645

Samples

6.0ms

144×

valid

Compiler

Compiled 469 to 368 computations (21.5% saved)

Precisions

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

ival-sub: 1.0ms (36.7% of total)

ival-add: 1.0ms (36.7% of total)

ival-mult: 1.0ms (36.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify35.0ms (0.9%)

Memory

4.3MiB live, 90.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	194
1	56	194
2	61	194
3	62	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 x #s(literal -5902958103587057/2361183241434822606848 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 420000 binary64)) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (<=.f64 y #s(literal -2785010123894805/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6084722881095501/40564819207303340847894502572032 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 39/2 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 x #s(literal -5902958103587057/2361183241434822606848 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 420000 binary64)) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (<=.f64 y #s(literal -2785010123894805/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6084722881095501/40564819207303340847894502572032 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 39/2 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

soundness872.0ms (21.9%)

Memory

-59.2MiB live, 290.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1058
1	149	1058
2	398	1058
3	1017	1058
4	2507	1058
5	3650	1058
6	4415	1058
7	5360	1058
8	5884	1058
9	6446	1058
10	7489	1058
0	8008	915
0	41	291
1	140	291
2	363	291
3	978	291
4	2451	291
5	3589	291
6	4355	291
7	5300	291
8	5826	291
9	6390	291
10	7433	291
0	8102	250

Stop Event

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

Compiler

Compiled 226 to 77 computations (65.9% saved)

preprocess47.0ms (1.2%)

Memory: -5.4MiB live, 72.0MiB allocated
Compiler: Compiled 402 to 102 computations (74.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	16	80
0	22	80
1	35	76
2	53	76
3	86	76
4	168	76
5	315	76
6	529	76
7	750	76
8	825	76
9	832	76
0	832	76

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	31	31
3	49	31
4	103	31
5	185	31
6	344	31
7	555	31
8	627	31
9	632	31
0	632	28

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	16	80
0	22	80
1	35	76
2	53	76
3	86	76
4	168	76
5	315	76
6	529	76
7	750	76
8	825	76
9	832	76
0	832	76

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	31	31
3	49	31
4	103	31
5	185	31
6	344	31
7	555	31
8	627	31
9	632	31
0	632	28

start0.0ms (0%)

analyze0.0ms (0%)

sample613.0ms (15.4%)

explain101.0ms (2.5%)

preprocess51.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify28.0ms (0.7%)

localize16.0ms (0.4%)

series5.0ms (0.1%)

simplify151.0ms (3.8%)

rewrite179.0ms (4.5%)

eval90.0ms (2.3%)

prune7.0ms (0.2%)

simplify41.0ms (1%)

localize36.0ms (0.9%)

series16.0ms (0.4%)

simplify293.0ms (7.4%)

rewrite294.0ms (7.4%)

eval228.0ms (5.7%)

prune13.0ms (0.3%)

simplify73.0ms (1.8%)

localize38.0ms (0.9%)

series5.0ms (0.1%)

simplify363.0ms (9.1%)

rewrite174.0ms (4.4%)

eval7.0ms (0.2%)

prune36.0ms (0.9%)

regimes21.0ms (0.5%)

regimes8.0ms (0.2%)

regimes18.0ms (0.5%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch56.0ms (1.4%)

bsearch20.0ms (0.5%)

bsearch20.0ms (0.5%)

bsearch17.0ms (0.4%)

simplify35.0ms (0.9%)

soundness872.0ms (21.9%)

preprocess47.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	16	80
0	22	80
1	35	76
2	53	76
3	86	76
4	168	76
5	315	76
6	529	76
7	750	76
8	825	76
9	832	76
0	832	76

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	31	31
3	49	31
4	103	31
5	185	31
6	344	31
7	555	31
8	627	31
9	632	31
0	632	28