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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.3%)

Memory

-11.7MiB live, 26.8MiB 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)

sample872.0ms (21.4%)

Memory

17.7MiB live, 1 375.7MiB allocated

Samples

625.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-div: 128.0ms (50.4% of total)

ival-mult: 68.0ms (26.8% of total)

ival-add: 44.0ms (17.3% of total)

ival-true: 6.0ms (2.4% of total)

exact: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain103.0ms (2.5%)

Memory

18.7MiB live, 136.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(/.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	25	0
↳	`(*.f64 x y)`	overflow	25

Confusion

	Predicted +	Predicted -
+	25	0
-	0	231

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	0	0	231

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (35.8% of total)

ival-mult: 4.0ms (35.8% of total)

ival-add: 3.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess54.0ms (1.3%)

Memory

-23.0MiB live, 67.3MiB 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 y) (+.f64 y #s(literal 1 binary64)))
(*.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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.7%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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 y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 x y)
(*.f64 y x)
x
y
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize21.0ms (0.5%)

Memory

-27.5MiB live, 50.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	5.943510856581242	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

14.0ms

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: 4.0ms (52.7% of total)

ival-mult: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (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))

simplify159.0ms (3.9%)

Memory

12.9MiB live, 168.3MiB 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
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 x (*.f64 y x)) y))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite186.0ms (4.5%)

Memory

16.8MiB live, 248.9MiB 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
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eval79.0ms (1.9%)

Memory: -31.7MiB live, 137.8MiB allocated
Compiler: Compiled 7 381 to 1 052 computations (85.7% saved)

prune9.0ms (0.2%)

Memory

-4.5MiB live, 34.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	387	5	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	387	6	393

Accuracy

100.0%

Counts

393 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	87.1%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	46.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.3%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	53.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 71 to 60 computations (15.5% saved)

simplify53.0ms (1.3%)

Memory

18.2MiB live, 56.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	107
0	29	107
1	45	107
2	67	107
3	110	107
4	190	107
5	322	107
6	576	107
7	945	107
8	1340	107
9	1580	107
10	1654	107
11	1664	107
12	1667	107
13	1668	107
0	1668	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1.4%)

Memory

18.0MiB live, 133.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0234375	(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy	8.241977380807645	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
accuracy	0	(/.f64 x y)
accuracy	0.015625	(-.f64 x (/.f64 x y))
accuracy	33.998347934421155	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0	(*.f64 y x)
accuracy	0.015625	(-.f64 x (*.f64 y x))
accuracy	0.07421875	(.f64 (-.f64 x (.f64 y x)) y)
accuracy	29.902212032548686	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
accuracy	0	(*.f64 y x)
accuracy	29.69391125461978	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
accuracy	0.015625	(/.f64 y (+.f64 #s(literal 1 binary64) y))

Samples

40.0ms

256×

valid

Compiler

Compiled 177 to 34 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 7.0ms (28.7% of total)

ival-div: 7.0ms (28.7% of total)

ival-mult: 7.0ms (28.7% of total)

ival-add: 3.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.5%)

Memory

-29.0MiB live, 56.9MiB allocated

Counts

13 → 288

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* 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) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
3.0ms	x	@	inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* 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) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
1.0ms	y	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* 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) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
1.0ms	x	@	0	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* 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) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
1.0ms	y	@	inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* 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) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))

simplify180.0ms (4.4%)

Memory

-7.5MiB live, 184.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1917
1	322	1745
2	695	1689
3	2297	1671
4	6878	1671
0	8180	1657

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 271

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

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

rewrite192.0ms (4.7%)

Memory

12.0MiB live, 212.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
0	29	89
1	116	89
2	768	89
0	8971	89

Stop Event

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

Counts

13 → 884

Calls

Call 1

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

Outputs
#<batchref>
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eval178.0ms (4.4%)

Memory: 20.0MiB live, 371.5MiB allocated
Compiler: Compiled 21 212 to 2 515 computations (88.1% saved)

prune32.0ms (0.8%)

Memory

4.0MiB live, 87.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 299	2	1 301
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 300	7	1 307

Accuracy

100.0%

Counts

1 307 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	87.1%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	47.6%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	46.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.3%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓	53.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify54.0ms (1.3%)

Memory

-16.0MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	18	49
1	30	49
2	56	49
3	98	49
4	199	49
5	308	49
6	426	49
7	673	49
8	877	49
9	1047	49
10	1347	49
11	1573	49
12	1667	49
13	1671	49
14	1677	49
15	1679	49
0	1679	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize33.0ms (0.8%)

Memory

19.2MiB live, 56.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
accuracy	33.76387665237683	#s(approx (/ y (+ 1 y)) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy	29.902212032548686	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Samples

26.0ms

256×

valid

Compiler

Compiled 71 to 22 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (38.9% of total)

ival-div: 4.0ms (31.1% of total)

ival-add: 2.0ms (15.5% of total)

ival-sub: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.8%)

Memory

-23.1MiB live, 30.9MiB allocated

Counts

6 → 120

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) (taylor inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 y)) (taylor -inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) (taylor -inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
1.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
1.0ms	x	@	0	((/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
1.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)))

simplify149.0ms (3.6%)

Memory

13.5MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	777
1	234	738
2	510	714
3	1557	696
4	4669	696
5	7020	696
0	8201	690

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

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

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

rewrite103.0ms (2.5%)

Memory

-12.9MiB live, 144.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
0	18	44
1	72	44
2	448	44
3	5222	44
0	9347	42

Stop Event

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

Counts

6 → 310

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
#s(approx (/ y (+ 1 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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval51.0ms (1.2%)

Memory: -10.0MiB live, 110.1MiB allocated
Compiler: Compiled 7 507 to 1 211 computations (83.9% saved)

prune11.0ms (0.3%)

Memory

-4.2MiB live, 35.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	425	0	425
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	425	7	432

Accuracy

100.0%

Counts

432 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	87.1%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
✓	47.6%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	46.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓	53.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 94 to 63 computations (33% saved)

regimes10.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB 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 x y) (-.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)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.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:

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

regimes10.0ms (0.2%)

Memory

-16.5MiB live, 22.8MiB 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 x y) (-.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)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)

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

Calls

3 calls:

4.0ms	x
3.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
89.2%	2	`x`
100.0%	3	`y`
91.2%	3	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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 x y) (-.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 y) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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 x y) (-.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 y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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
97.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB 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	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.6%	1	`x`
53.6%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
53.6%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch25.0ms (0.6%)

Memory

-2.7MiB live, 36.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
10.0ms	132790082.20565462	532375404675.64703
12.0ms	-2674432711.136664	-18.466497572539133

Samples

12.0ms

272×

valid

Compiler

Compiled 231 to 232 computations (-0.4% saved)

Precisions

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

ival-div: 2.0ms (29.3% of total)

ival-add: 2.0ms (29.3% of total)

ival-mult: 2.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch86.0ms (2.1%)

Memory

-34.7MiB live, 54.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	0.6131158094572586	132790082.20565462
51.0ms	-18.466497572539133	-0.02287607550203407

Samples

74.0ms

272×

valid

Compiler

Compiled 248 to 249 computations (-0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 43.0ms (92.3% of total)

ival-mult: 2.0ms (4.3% of total)

ival-add: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.6131158094572586	132790082.20565462
1.0ms	-18.466497572539133	-0.02287607550203407

Samples

2.0ms

48×

valid

Compiler

Compiled 214 to 249 computations (-16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.6131158094572586	132790082.20565462
1.0ms	-18.466497572539133	-0.02287607550203407

Compiler

Compiled 146 to 198 computations (-35.6% saved)

simplify76.0ms (1.9%)

Memory

5.3MiB live, 44.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	186
1	54	186
2	63	186
3	69	186
4	73	186
5	74	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(if (<=.f64 y #s(literal -170000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 140000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(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 y) (-.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 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -170000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 140000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(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 y) (-.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)))
(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 y x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

soundness1.1s (26.1%)

Memory

7.9MiB live, 480.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
0	29	89
1	116	89
2	768	89
0	8971	89
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13
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	106	1917
1	322	1745
2	695	1689
3	2297	1671
4	6878	1671
0	8180	1657

Stop Event

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

Compiler

Compiled 246 to 123 computations (50% saved)

preprocess142.0ms (3.5%)

Memory: -7.1MiB live, 150.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 350 to 152 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.3%)

sample872.0ms (21.4%)

explain103.0ms (2.5%)

preprocess54.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.5%)

series6.0ms (0.2%)

simplify159.0ms (3.9%)

rewrite186.0ms (4.5%)

eval79.0ms (1.9%)

prune9.0ms (0.2%)

simplify53.0ms (1.3%)

localize58.0ms (1.4%)

series19.0ms (0.5%)

simplify180.0ms (4.4%)

rewrite192.0ms (4.7%)

eval178.0ms (4.4%)

prune32.0ms (0.8%)

simplify54.0ms (1.3%)

localize33.0ms (0.8%)

series33.0ms (0.8%)

simplify149.0ms (3.6%)

rewrite103.0ms (2.5%)

eval51.0ms (1.2%)

prune11.0ms (0.3%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch25.0ms (0.6%)

bsearch86.0ms (2.1%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

simplify76.0ms (1.9%)

soundness1.1s (26.1%)

preprocess142.0ms (3.5%)

end0.0ms (0%)

Profiling