Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze38.0ms (1%)

Memory

-16.3MiB live, 23.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample730.0ms (19.3%)

Memory

14.4MiB live, 1 287.7MiB allocated

Samples

451.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 64.0ms (35.2% of total)

ival-div: 60.0ms (33% of total)

ival-add: 44.0ms (24.2% of total)

ival-true: 6.0ms (3.3% of total)

exact: 5.0ms (2.8% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain80.0ms (2.1%)

Memory

-21.1MiB live, 145.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	22	0
↳	`(*.f64 x y)`	overflow	22

Confusion

	Predicted +	Predicted -
+	22	0
-	0	234

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	0
-	0	0	234

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	234
1	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (53.2% of total)

ival-div: 3.0ms (19.9% of total)

ival-add: 3.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (1.3%)

Memory

23.8MiB live, 61.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	50	37
2	145	35
3	443	35
4	1190	35
5	1667	35
6	1882	35
7	1938	35
8	1966	35
9	1970	35
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	18	16
3	19	16
0	19	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.6%)

Memory

-20.9MiB live, 61.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	5.21504923324633	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-div: 3.0ms (38.7% of total)

ival-mult: 3.0ms (38.7% of total)

ival-add: 1.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-20.4MiB live, 18.7MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	x	@	0	((/ (* x y) (+ y 1)) (* x y) (+ y 1))

simplify133.0ms (3.5%)

Memory

19.1MiB live, 176.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	299
1	135	290
2	274	282
3	1005	276
4	4069	276
5	5956	276
6	7080	276
7	7762	276
0	8009	274

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)

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

rewrite233.0ms (6.2%)

Memory

13.2MiB live, 208.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Counts

3 → 336

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #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>
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eval217.0ms (5.7%)

Memory: -4.4MiB live, 122.0MiB allocated
Compiler: Compiled 7 637 to 1 056 computations (86.2% saved)

prune72.0ms (1.9%)

Memory

-14.9MiB live, 24.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	388	4	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	5	393

Accuracy

100.0%

Counts

393 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	50.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	50.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	50.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 53 to 39 computations (26.4% saved)

simplify56.0ms (1.5%)

Memory

5.8MiB live, 44.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
0	25	89
1	39	89
2	63	89
3	107	89
4	188	89
5	316	89
6	570	89
7	946	89
8	1347	89
9	1588	89
10	1661	89
11	1671	89
12	1674	89
13	1675	89
0	1675	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.6%)

Memory

16.9MiB live, 57.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	0.015625	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 x y))
accuracy	31.687754808978106	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0	(-.f64 x (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0.09765625	(.f64 (-.f64 x (.f64 y x)) y)
accuracy	31.943998400331502	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
accuracy	0	(*.f64 y x)
accuracy	31.657206575549367	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Samples

27.0ms

256×

valid

Compiler

Compiled 162 to 34 computations (79% saved)

Precisions

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

ival-mult: 6.0ms (37.2% of total)

ival-div: 5.0ms (31% of total)

ival-sub: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (1.7%)

Memory

-12.0MiB live, 25.9MiB allocated

Counts

11 → 240

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y))
3.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y))
2.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y))
1.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y))
1.0ms	y	@	0	((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y))

simplify170.0ms (4.5%)

Memory

-3.9MiB live, 188.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1537
1	271	1409
2	575	1369
3	1994	1339
4	5895	1339
5	7862	1339
0	8008	1329

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 226

Calls

Call 1

Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))

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

rewrite168.0ms (4.4%)

Memory

7.6MiB live, 294.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
0	25	77
1	106	77
2	727	77
0	8870	77

Stop Event

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

Counts

11 → 630

Calls

Call 1

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

Outputs
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eval107.0ms (2.8%)

Memory: -9.6MiB live, 301.4MiB allocated
Compiler: Compiled 18 997 to 2 119 computations (88.8% saved)

prune22.0ms (0.6%)

Memory

-1.1MiB live, 78.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	886	3	889
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	886	8	894

Accuracy

100.0%

Counts

894 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	51.6%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
▶	50.1%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)))
✓	50.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	50.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	50.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y)))
✓	50.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 94 to 69 computations (26.6% saved)

simplify56.0ms (1.5%)

Memory

17.5MiB live, 62.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ y (+ 1 y)) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)))
cost-diff	320	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	26	82
1	48	82
2	92	82
3	158	82
4	256	82
5	384	82
6	646	82
7	795	82
8	1028	82
9	1172	82
10	1271	82
11	1310	82
12	1317	82
13	1320	82
14	1323	82
15	1324	82
0	1324	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (1.2%)

Memory

-0.8MiB live, 117.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
accuracy	31.25315974090583	#s(approx (/ y (+ 1 y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 y)
accuracy	7.511655809453948	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
accuracy	31.943998400331502	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.09765625	(.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y))
accuracy	31.943998400331502	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y)))

Samples

34.0ms

256×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.4% of total)

ival-add: 4.0ms (18% of total)

ival-div: 3.0ms (13.5% of total)

ival-neg: 2.0ms (9% of total)

ival-sub: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.7%)

Memory

-11.7MiB live, 42.5MiB allocated

Counts

10 → 192

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (+ (* (* (neg y) y) x) (* y x)) (/ (* x y) (+ y 1)) (* (neg y) y) (neg y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
2.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (+ (* (* (neg y) y) x) (* y x)) (/ (* x y) (+ y 1)) (* (neg y) y) (neg y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
2.0ms	x	@	0	((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (+ (* (* (neg y) y) x) (* y x)) (/ (* x y) (+ y 1)) (* (neg y) y) (neg y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
2.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (+ (* (* (neg y) y) x) (* y x)) (/ (* x y) (+ y 1)) (* (neg y) y) (neg y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (* y x) (- 1 y) (+ (* (* (neg y) y) x) (* y x)) (/ (* x y) (+ y 1)) (* (neg y) y) (neg y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))

simplify134.0ms (3.5%)

Memory

13.9MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	1229
1	259	1160
2	565	1128
3	1669	1104
4	4853	1104
5	7462	1104
0	8010	1096

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 185

Calls

Call 1

Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))

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

rewrite159.0ms (4.2%)

Memory

-7.4MiB live, 186.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	26	72
1	104	72
2	663	72
3	7887	72
0	8472	72

Stop Event

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

Counts

10 → 530

Calls

Call 1

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

Outputs
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eval88.0ms (2.3%)

Memory: 19.0MiB live, 173.6MiB allocated
Compiler: Compiled 20 504 to 1 533 computations (92.5% saved)

prune19.0ms (0.5%)

Memory

-6.3MiB live, 69.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	750	0	750
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	750	8	758

Accuracy

100.0%

Counts

758 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	51.6%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	50.1%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)))
✓	50.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	50.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
✓	50.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y)))
✓	50.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 188 to 101 computations (46.3% saved)

regimes37.0ms (1%)

Memory

-28.9MiB live, 62.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	x
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.5%	3	`x`
98.9%	3	`y`
81.8%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

-34.7MiB live, 4.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.5%	1	`x`
50.5%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
50.5%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch29.0ms (0.8%)

Memory

4.8MiB live, 43.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.3347256220121318	1.7473181515051742e+22
11.0ms	-25815.943416935872	-0.0007276280663932534

Samples

14.0ms

320×

valid

Compiler

Compiled 566 to 440 computations (22.3% saved)

Precisions

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

ival-div: 2.0ms (32.2% of total)

ival-mult: 2.0ms (32.2% of total)

ival-add: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3347256220121318	1.7473181515051742e+22
1.0ms	-25815.943416935872	-0.0007276280663932534

Compiler

Compiled 526 to 420 computations (20.2% saved)

bsearch2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3347256220121318	1.7473181515051742e+22
1.0ms	-25815.943416935872	-0.0007276280663932534

Compiler

Compiled 490 to 411 computations (16.1% saved)

bsearch3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3347256220121318	1.7473181515051742e+22
1.0ms	-25815.943416935872	-0.0007276280663932534

Compiler

Compiled 490 to 431 computations (12% saved)

bsearch10.0ms (0.3%)

Memory

-24.3MiB live, 15.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.3347256220121318	1.7473181515051742e+22
1.0ms	-25815.943416935872	-0.0007276280663932534

Samples

5.0ms

80×

valid

Compiler

Compiled 410 to 371 computations (9.5% saved)

Precisions

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

ival-mult: 2.0ms (63.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.7%)

Memory

13.4MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	229
1	63	229
2	81	229
3	90	229
4	95	229
5	96	229

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y))) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y x)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Outputs
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 x y))) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 x y)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (-.f64 x (.f64 x y)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x y))) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x y)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

soundness817.0ms (21.6%)

Memory

7.1MiB live, 555.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
0	25	77
1	106	77
2	727	77
0	8870	77
0	90	1537
1	271	1409
2	575	1369
3	1994	1339
4	5895	1339
5	7862	1339
0	8008	1329
0	46	299
1	135	290
2	274	282
3	1005	276
4	4069	276
5	5956	276
6	7080	276
7	7762	276
0	8009	274
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Compiler

Compiled 444 to 183 computations (58.8% saved)

preprocess76.0ms (2%)

Memory: -1.9MiB live, 151.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 588 to 168 computations (71.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (1%)

sample730.0ms (19.3%)

explain80.0ms (2.1%)

preprocess49.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.6%)

series9.0ms (0.2%)

simplify133.0ms (3.5%)

rewrite233.0ms (6.2%)

eval217.0ms (5.7%)

prune72.0ms (1.9%)

simplify56.0ms (1.5%)

localize61.0ms (1.6%)

series63.0ms (1.7%)

simplify170.0ms (4.5%)

rewrite168.0ms (4.4%)

eval107.0ms (2.8%)

prune22.0ms (0.6%)

simplify56.0ms (1.5%)

localize44.0ms (1.2%)

series25.0ms (0.7%)

simplify134.0ms (3.5%)

rewrite159.0ms (4.2%)

eval88.0ms (2.3%)

prune19.0ms (0.5%)

regimes37.0ms (1%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch29.0ms (0.8%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch3.0ms (0.1%)

bsearch10.0ms (0.3%)

simplify26.0ms (0.7%)

soundness817.0ms (21.6%)

preprocess76.0ms (2%)

end0.0ms (0%)

Profiling