Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze10.0ms (0.3%)

Memory

-23.0MiB live, 16.3MiB 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 7 to 7 computations (0% saved)

sample519.0ms (14%)

Memory

11.0MiB live, 687.6MiB allocated

Samples

300.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-div: 61.0ms (46.9% of total)

ival-mult: 54.0ms (41.5% of total)

ival-true: 6.0ms (4.6% of total)

exact: 5.0ms (3.8% of total)

ival-assert: 4.0ms (3.1% of total)

Bogosity

explain46.0ms (1.2%)

Memory

29.8MiB live, 67.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
0	-	-	`(*.f64 y #s(literal 3 binary64))`
0	-	-	`y`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 3 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-div: 4.0ms (48% of total)

ival-mult: 4.0ms (48% of total)

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

exact: 0.0ms (0% of total)

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

preprocess57.0ms (1.6%)

Memory

-17.0MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Rules

257×	`times-frac`
157×	`associate-l`
152×	`associate-r`
122×	`associate-/r*`
77×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	40	25
2	103	25
3	328	25
4	974	25
5	1588	25
6	1814	25
7	1849	25
8	1887	25
9	1919	25
0	5	5
0	7	5
1	10	5
2	12	5
0	12	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))

Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))

Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Rules

5×	`lower-/.f32`
4×	`lower-/.f64`
2×	`lower-*.f32`
2×	`associate-/r*`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	12	11
0	12	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)

Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)

localize23.0ms (0.6%)

Memory

-16.5MiB live, 24.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.45343655881585326	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 9.0ms (79.4% of total)

ival-mult: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (/.f64 x (.f64 y #s(literal 3 binary64))) (patch (/.f64 x (.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y 3)
1.0ms	y	@	0	(/ x (* y 3))
1.0ms	x	@	inf	(/ x (* y 3))
1.0ms	x	@	0	(/ x (* y 3))
0.0ms	y	@	inf	(/ x (* y 3))

simplify4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`lower-*.f64`
8×	`lower-*.f32`
4×	`*-commutative`
3×	`lower-/.f32`
3×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	156
1	11	156
2	13	156
3	15	156
4	16	156
0	16	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)

Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

rewrite99.0ms (2.7%)

Memory

-3.1MiB live, 105.7MiB allocated

Rules

530×	`lower-*.f32`
529×	`lower-*.f64`
473×	`frac-2neg`
449×	`lower-/.f32`
448×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	10
1	18	10
2	79	10
3	391	10
4	2315	10
0	7	8
1	18	8
2	79	8
3	391	8
0	2315	8

Stop Event

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

Counts

2 → 155

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))

Outputs
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 #s(literal 3 binary64) y))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 3 binary64) y)))) (.f64 #s(literal 9 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)))
(.f64 (.f64 x (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) y))
(.f64 (.f64 #s(literal 1/3 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 3 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (/.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) y)
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) x)
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/3 binary64) y)) (.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (.f64 x x))) x)
(/.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (.f64 (.f64 x x) x))) (.f64 x x))
(/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 #s(literal 3 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 (.f64 x x) x))) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal -1/3 binary64) (neg.f64 (.f64 x x))) (*.f64 y x))
(/.f64 (.f64 #s(literal -1/3 binary64) (neg.f64 (.f64 (.f64 x x) x))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 (.f64 x x) x))) (.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 #s(literal -3 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (.f64 (.f64 x x) x))) (.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 #s(literal 3 binary64) y) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) x))) (.f64 (.f64 #s(literal 3 binary64) y) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 #s(literal -3 binary64) y) x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) x))) (.f64 (.f64 #s(literal -3 binary64) y) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) y))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal 1/3 binary64)) (.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 3 binary64) y)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal -3 binary64) y)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal -3 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (.f64 x #s(literal -1/3 binary64)))) (.f64 (*.f64 #s(literal -3 binary64) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (.f64 #s(literal 1/3 binary64) x))) (.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 (neg.f64 x) y))) (.f64 (.f64 #s(literal -3 binary64) y) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 x y))) (.f64 (.f64 #s(literal -3 binary64) y) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (neg.f64 x))) (.f64 (.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) x)) (.f64 #s(literal 9 binary64) (.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -3 binary64) x) y)) (.f64 #s(literal -3 binary64) y)) (.f64 (.f64 #s(literal -3 binary64) y) (.f64 (/.f64 #s(literal -3 binary64) x) y)))
(/.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 #s(literal -3 binary64) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal -3 binary64) y) (*.f64 x x)))
(/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) x) y))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(/.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) y))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64)) (/.f64 x (.f64 #s(literal 3 binary64) y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 9 binary64) (.f64 y y)))) (.f64 #s(literal 3 binary64) y))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 3 binary64) y)))) (.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal 3 binary64))) (.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 9 binary64) (.f64 y y)))) (*.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 3 binary64) y)))) (.f64 #s(literal 9 binary64) (.f64 y y)))
(/.f64 (neg.f64 (.f64 #s(literal 9 binary64) (.f64 y y))) (*.f64 #s(literal -3 binary64) y))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 3 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 9 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 #s(literal 3 binary64) y))) (neg.f64 (.f64 #s(literal 9 binary64) (.f64 y y))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 1/3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) y))
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))

eval28.0ms (0.8%)

Memory: -6.7MiB live, 41.4MiB allocated
Compiler: Compiled 1 791 to 362 computations (79.8% saved)

prune35.0ms (0.9%)

Memory

-5.0MiB live, 71.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	184	7	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	184	8	192

Accuracy

100.0%

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
	61.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) x)) (.f64 #s(literal 9 binary64) (.f64 y y)))
▶	99.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓	99.3%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.1%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
	99.1%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) x) y))
▶	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 125 to 91 computations (27.2% saved)

simplify5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	384	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
cost-diff	0	(/.f64 x y)
cost-diff	384	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Rules

9×	`lower-/.f32`
8×	`lower-*.f32`
6×	`lift-/.f64`
5×	`lower-*.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
0	22	55
1	28	55
2	31	55
0	31	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
y
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
#s(literal 1/3 binary64)
(/.f64 y x)
y
x

Outputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
y
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
#s(literal 1/3 binary64)
(/.f64 y x)
y
x

localize47.0ms (1.3%)

Memory

-3.3MiB live, 120.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0.5974356431236141	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
accuracy	0.1484375	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
accuracy	0.30859375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0	(/.f64 x y)
accuracy	0.28125	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy	0.193691259768442	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy	0.36328125	(/.f64 #s(literal 1/3 binary64) y)
accuracy	0	(/.f64 x y)
accuracy	0.19140625	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions

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

ival-div: 14.0ms (64.4% of total)

ival-mult: 4.0ms (18.4% of total)

const: 3.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

9 → 192

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) x) (patch (.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())

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

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ x y)
0.0ms	x	@	-inf	(* 1/3 x)
0.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	0	(/ y x)
0.0ms	y	@	0	(/ 1/3 y)

simplify8.0ms (0.2%)

Memory

-27.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-*.f64`
6×	`lower-*.f32`
4×	`lower-/.f32`
4×	`lower-/.f64`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	816
1	11	816
2	12	816
3	13	816
0	13	816

Stop Event

1×	iter limit
1×	saturated

Counts

192 → 192

Calls

Call 1

Inputs
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)

Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
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(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/ x y)
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(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/.f64 x y)
(/ x y)
(/.f64 x y)
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(/ x y)
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(/.f64 x y)
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(/.f64 x y)
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(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
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(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
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(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
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(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
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(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
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(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite124.0ms (3.3%)

Memory

-7.8MiB live, 195.7MiB allocated

Rules

884×	`lower-*.f32`
881×	`lower-*.f64`
675×	`log-div`
542×	`frac-times`
534×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	22	37
1	61	37
2	237	37
3	954	37
4	5322	37
0	9008	37

Stop Event

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

Counts

9 → 1 086

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 y x)

Outputs
(.f64 (/.f64 #s(literal -1/3 binary64) (/.f64 (.f64 y y) (*.f64 x x))) (/.f64 y x))
(.f64 (/.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 (.f64 y y) (*.f64 x x)))
(.f64 (/.f64 (.f64 #s(literal -1/3 binary64) x) (*.f64 y y)) y)
(.f64 (/.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 (.f64 y y) y)) (*.f64 y y))
(.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (.f64 y y) (*.f64 x x))) (/.f64 y x))
(.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 (.f64 y y) (*.f64 x x)))
(.f64 (.f64 (*.f64 #s(literal -1/3 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64))) (pow.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 x (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -3 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -3 binary64) x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x)
(.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1/3 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 x y))
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(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 y y) (*.f64 x x)) (/.f64 x y))
(.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y y)) y)
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 y y) y)) (.f64 y y))
(/.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) x)) y)
(/.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal -1 binary64) x)) (.f64 y y))
(/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal -1 binary64)) (.f64 (*.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (.f64 x x))) (.f64 x (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (.f64 x (/.f64 (.f64 y y) (*.f64 x x))))
(/.f64 (.f64 (.f64 y y) y) (.f64 x (.f64 y y)))
(/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) x))
(/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y x))
(/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal 0 binary64))))
(/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (/.f64 (.f64 y y) (.f64 x x)))
(/.f64 (.f64 y y) (.f64 x y))
(/.f64 (.f64 y y) (.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (*.f64 x (/.f64 x y)))
(/.f64 y x)
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(neg.f64 (/.f64 y x))
(fma.f64 (/.f64 y (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 y (.f64 (.f64 x x) x)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (.f64 x x))) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 0 binary64))

eval148.0ms (4%)

Memory: 40.7MiB live, 264.7MiB allocated
Compiler: Compiled 15 689 to 1 223 computations (92.2% saved)

prune515.0ms (13.9%)

Memory

-22.3MiB live, 174.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 407	2	1 409
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	1 410	7	1 417

Accuracy

100.0%

Counts

1 417 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.8%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓	99.3%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
▶	62.3%	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))

Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify506.0ms (13.7%)

Memory

0.9MiB live, 127.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
cost-diff	384	(/.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
cost-diff	640	(.f64 (/.f64 x (.f64 y y)) y)

Rules

3 932×	`lower-*.f32`
3 929×	`lower-*.f64`
1 228×	`cube-prod`
1 041×	`associate-/r/`
1 027×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	42
1	26	42
2	55	32
3	102	30
4	177	30
5	499	30
6	1782	30
7	2236	30
8	2336	30
9	2493	30
10	2700	30
11	2978	30
12	3338	30
13	5552	30
14	5732	30
15	5849	30
16	5934	30
17	6020	30
18	6662	30
0	8561	30

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(.f64 (/.f64 x (.f64 y y)) y)
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y

Outputs
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(.f64 (/.f64 x (.f64 y y)) y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
x
#s(literal 3 binary64)
y

localize33.0ms (0.9%)

Memory

16.1MiB live, 53.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 3 binary64))
accuracy	0.1484375	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
accuracy	0	(*.f64 y y)
accuracy	0.28125	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
accuracy	7.923428365466156	(/.f64 x (*.f64 y y))
accuracy	15.89096411397275	(.f64 (/.f64 x (.f64 y y)) y)

Samples

24.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-div: 7.0ms (45.6% of total)

ival-mult: 5.0ms (32.6% of total)

const: 3.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 x (.f64 y y)) y) (patch (.f64 (/.f64 x (.f64 y y)) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 x (.f64 y y)) y) #s(literal 1/3 binary64)) (patch (.f64 (.f64 (/.f64 x (.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 3 binary64)) (patch (/.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())

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

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ x (* y y))
1.0ms	x	@	0	(/ x (* y y))
0.0ms	y	@	0	(/ x (* y y))
0.0ms	x	@	-inf	(/ x (* y y))
0.0ms	y	@	inf	(* y y)

simplify7.0ms (0.2%)

Memory

-27.2MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7×	`lower-*.f64`
7×	`lower-*.f32`
5×	`lower-/.f32`
5×	`lower-/.f64`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	504
1	13	504
2	16	504
3	17	504
0	17	504

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

Calls

Call 1

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

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

rewrite82.0ms (2.2%)

Memory

2.4MiB live, 84.6MiB allocated

Rules

574×	`frac-2neg`
498×	`clear-num`
458×	`div-inv`
443×	`associate-/r/`
435×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	44
1	50	44
2	242	24
3	1257	24
4	5604	24
0	16	44
1	50	44
2	242	44
3	1257	44
0	16	36
1	50	36
2	242	24
0	1257	24

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 308

Calls

Call 1

Inputs
(.f64 (/.f64 x (.f64 y y)) y)
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)
(/.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Outputs
(.f64 (/.f64 y (.f64 (neg.f64 y) y)) (neg.f64 x))
(.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (.f64 (neg.f64 y) y)))
(*.f64 (/.f64 y (neg.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 y (neg.f64 y)))
(.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 y) y)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (.f64 y y)) y)
(.f64 y (/.f64 x (.f64 y y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (.f64 y y))
(/.f64 (/.f64 (*.f64 (neg.f64 x) y) y) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) y) (neg.f64 y))
(/.f64 (.f64 (.f64 y x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 y (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (neg.f64 (.f64 (neg.f64 x) y)) (.f64 y y))
(/.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (.f64 y x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 y (*.f64 (/.f64 y x) y))
(/.f64 x y)
(neg.f64 (/.f64 (.f64 (neg.f64 x) y) (.f64 y y)))
(neg.f64 (/.f64 (.f64 y x) (.f64 (neg.f64 y) y)))
(neg.f64 (.f64 y (/.f64 x (.f64 (neg.f64 y) y))))
(neg.f64 (.f64 (/.f64 x (.f64 (neg.f64 y) y)) y))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (neg.f64 x))
(.f64 (/.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal 1/3 binary64) y) (*.f64 (neg.f64 y) y)) (neg.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (.f64 (.f64 y x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 #s(literal 1/3 binary64) y) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y y))) y)
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1/3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/3 binary64) y)))
(.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/3 binary64) y) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(.f64 (.f64 y x) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(.f64 (.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 y x) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/3 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/3 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))
(.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) y) (*.f64 (neg.f64 y) y)))
(.f64 (neg.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (neg.f64 x) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 #s(literal 1/3 binary64) y)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(.f64 (/.f64 x (.f64 y y)) (*.f64 #s(literal 1/3 binary64) y))
(.f64 y (.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y y))))
(.f64 x (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(pow.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) y) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -3 binary64) x))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal 1/3 binary64) y)) (neg.f64 y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) y)) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) #s(literal -3 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) y) (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) y) (/.f64 y x))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) y)) (.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y)) (*.f64 y y))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 y x) #s(literal 1/3 binary64)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) x) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -3 binary64)))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) y) (.f64 (/.f64 y x) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) y) (.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) y) (.f64 (*.f64 #s(literal -1/3 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (*.f64 y x) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 x (neg.f64 (*.f64 #s(literal -3 binary64) y)))
(/.f64 x (*.f64 (neg.f64 y) #s(literal -3 binary64)))
(/.f64 x (*.f64 #s(literal -3 binary64) (neg.f64 y)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) (*.f64 y y)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (.f64 (.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 (neg.f64 y) y))))
(neg.f64 (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/3 binary64) y)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) y)) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 (neg.f64 y) y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 y y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) y)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 x (.f64 (neg.f64 y) y))))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (/.f64 x (.f64 (neg.f64 y) y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) y)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 x y) (.f64 #s(literal 1/3 binary64) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (/.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) y)
(.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/3 binary64) y)))
(*.f64 x #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) (neg.f64 y))
(/.f64 (.f64 (.f64 y x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(/.f64 (neg.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal 3 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (neg.f64 x))
(.f64 (/.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal 1/3 binary64) y) (*.f64 (neg.f64 y) y)) (neg.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (.f64 (.f64 y x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 #s(literal 1/3 binary64) y) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y y))) y)
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1/3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/3 binary64) y)))
(.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/3 binary64) y) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(.f64 (.f64 y x) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(.f64 (.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 y x) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/3 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/3 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))
(.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 1/3 binary64) y) (*.f64 (neg.f64 y) y)))
(.f64 (neg.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (neg.f64 x) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 #s(literal 1/3 binary64) y)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 (/.f64 x y) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(.f64 (/.f64 x (.f64 y y)) (*.f64 #s(literal 1/3 binary64) y))
(.f64 y (.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 y y))))
(.f64 x (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(pow.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) y) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -3 binary64) x))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal 1/3 binary64) y)) (neg.f64 y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) y)) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) #s(literal -3 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) y) (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) y) (/.f64 y x))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) y)) (.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y)) (*.f64 y y))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 y x) #s(literal 1/3 binary64)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) x) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -3 binary64)))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) y) (.f64 (/.f64 y x) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) y) (.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) y) (.f64 (*.f64 #s(literal -1/3 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (*.f64 y x) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 x (neg.f64 (*.f64 #s(literal -3 binary64) y)))
(/.f64 x (*.f64 (neg.f64 y) #s(literal -3 binary64)))
(/.f64 x (*.f64 #s(literal -3 binary64) (neg.f64 y)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) y) (*.f64 y y)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (.f64 (.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 (neg.f64 y) y))))
(neg.f64 (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/3 binary64) y)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) y)) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))

eval45.0ms (1.2%)

Memory: 12.6MiB live, 86.1MiB allocated
Compiler: Compiled 3 688 to 523 computations (85.8% saved)

prune43.0ms (1.2%)

Memory

4.3MiB live, 87.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	427	1	428
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	427	8	435

Accuracy

100.0%

Counts

435 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.8%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓	99.3%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	62.3%	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
▶	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))

Compiler

Compiled 62 to 44 computations (29% saved)

simplify5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)

Rules

24×	`lower-*.f32`
22×	`lower-*.f64`
9×	`associate-r`
6×	`associate-l`
5×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	18	15
2	36	15
3	56	15
4	56	15
0	56	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 1/3 binary64)

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 1/3 binary64)

localize45.0ms (1.2%)

Memory

-10.7MiB live, 27.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.193691259768442	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	0.28125	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))

Samples

38.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

const: 25.0ms (80.2% of total)

ival-mult: 4.0ms (12.8% of total)

ival-div: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64)) #<representation binary64>) () ())

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

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

Calls

15 calls:

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

simplify4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-*.f64`
6×	`lower-*.f32`
4×	`lower-/.f32`
4×	`lower-/.f64`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	228
1	12	228
2	14	228
3	16	228
4	17	228
0	17	228

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)

Outputs
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

rewrite197.0ms (5.3%)

Memory

-8.8MiB live, 176.1MiB allocated

Rules

2 945×	`lower-fma.f64`
2 945×	`lower-fma.f32`
980×	`lower-*.f32`
978×	`lower-*.f64`
831×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	26	11
2	86	11
3	305	11
4	1238	11
5	6789	11
0	8092	11

Stop Event

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

Counts

3 → 850

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) y)

Outputs
(.f64 (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(.f64 (/.f64 x (.f64 y y)) y)
(.f64 (/.f64 x (.f64 (.f64 y y) y)) (.f64 y y))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) x))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
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(.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64)))))
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(fma.f64 y (/.f64 y (.f64 (.f64 y y) y)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64)))
(fma.f64 y (/.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y)) #s(literal 0 binary64)))
(fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 y)))
(exp.f64 (neg.f64 (log.f64 y)))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) y))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(+.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) y))))
(+.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) y)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))

eval366.0ms (9.9%)

Memory: -112.8MiB live, 230.0MiB allocated
Compiler: Compiled 15 057 to 1 813 computations (88% saved)

prune190.0ms (5.1%)

Memory

-8.4MiB live, 376.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	910	0	910
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	910	8	918

Accuracy

100.0%

Counts

918 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.8%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓	99.3%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	62.3%	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
✓	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))

Compiler

Compiled 135 to 81 computations (40% saved)

regimes16.0ms (0.4%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) x)) (.f64 #s(literal 9 binary64) (.f64 y y)))

Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Calls

4 calls:

4.0ms	y
4.0ms	(*.f64 y #s(literal 3 binary64))
4.0ms	x
3.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.8%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.3%)

Memory

-17.5MiB live, 20.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))

Outputs
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)

Calls

4 calls:

3.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Accuracy

Total -0.5b remaining (-170.9%)

Threshold costs -0.5b (-170.9%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))

Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Calls

4 calls:

2.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify18.0ms (0.5%)

Memory

-54.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

soundness382.0ms (10.3%)

Memory

10.6MiB live, 200.2MiB allocated

Rules

884×	`lower-*.f32`
881×	`lower-*.f64`
675×	`log-div`
542×	`frac-times`
534×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	10
1	18	10
2	79	10
3	391	10
4	2315	10
0	7	8
1	18	8
2	79	8
3	391	8
0	2315	8
0	13	37
0	22	37
1	61	37
2	237	37
3	954	37
4	5322	37
0	9008	37

Stop Event

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

Compiler

Compiled 60 to 39 computations (35% saved)

preprocess52.0ms (1.4%)

Memory

2.3MiB live, 78.1MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 90 to 60 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze10.0ms (0.3%)

sample519.0ms (14%)

explain46.0ms (1.2%)

preprocess57.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.6%)

series5.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite99.0ms (2.7%)

eval28.0ms (0.8%)

prune35.0ms (0.9%)

simplify5.0ms (0.1%)

localize47.0ms (1.3%)

series8.0ms (0.2%)

simplify8.0ms (0.2%)

rewrite124.0ms (3.3%)

eval148.0ms (4%)

prune515.0ms (13.9%)

simplify506.0ms (13.7%)

localize33.0ms (0.9%)

series7.0ms (0.2%)

simplify7.0ms (0.2%)

rewrite82.0ms (2.2%)

eval45.0ms (1.2%)

prune43.0ms (1.2%)

simplify5.0ms (0.1%)

localize45.0ms (1.2%)

series2.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite197.0ms (5.3%)

eval366.0ms (9.9%)

prune190.0ms (5.1%)

regimes16.0ms (0.4%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

simplify18.0ms (0.5%)

soundness382.0ms (10.3%)

preprocess52.0ms (1.4%)

end0.0ms (0%)

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