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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample638.0ms (19.4%)

Memory

-151.2MiB live, 956.1MiB allocated

Samples

435.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 61.0ms (45.2% of total)

ival-div: 60.0ms (44.4% of total)

ival-true: 5.0ms (3.7% of total)

exact: 4.0ms (3% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain44.0ms (1.3%)

Memory

5.7MiB live, 83.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (50.6% of total)

ival-mult: 3.0ms (37.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess47.0ms (1.4%)

Memory

-3.0MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Rules

514×	`times-frac`
314×	`associate-l`
304×	`associate-r`
244×	`associate-/r*`
154×	`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 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB 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

10×	`lower-/.f32`
8×	`lower-/.f64`
4×	`lower-*.f32`
4×	`associate-/r*`
2×	`*-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)

localize17.0ms (0.5%)

Memory

-13.5MiB live, 27.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.20703125	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (56.2% of total)

ival-mult: 2.0ms (56.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB 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 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 (* 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 (* 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 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 (* 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 -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 (* 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>) () ())) ())

Calls

6 calls:

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

simplify4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
8×	`*-commutative`
6×	`lower-/.f32`
6×	`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))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 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))

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

rewrite80.0ms (2.4%)

Memory

-6.7MiB live, 105.1MiB allocated

Rules

1 060×	`lower-*.f32`
1 058×	`lower-*.f64`
898×	`lower-/.f32`
896×	`lower-/.f64`
212×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
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 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) y))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))
(.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)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #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)) (pow.f64 x #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)) (.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 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x 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 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 x 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 (pow.f64 x #s(literal 3 binary64))) (/.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 (pow.f64 x #s(literal 3 binary64)))) (.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 #s(literal -1/3 binary64) (/.f64 x y)) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) (.f64 #s(literal -1/3 binary64) (/.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 x 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 (pow.f64 x #s(literal 3 binary64)))) (.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 (pow.f64 x #s(literal 3 binary64)))) (.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 (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 x x))) (*.f64 #s(literal -3 binary64) x))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.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 (pow.f64 x #s(literal 3 binary64)))) (.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 (pow.f64 x #s(literal 3 binary64)))) (.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)) (pow.f64 y #s(literal -1 binary64))) (*.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 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) y))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #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 (pow.f64 x #s(literal 3 binary64))) #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)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) (/.f64 x y))) (.f64 #s(literal -3 binary64) y)) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -3 binary64) (/.f64 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 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (.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 #s(literal -1/3 binary64) (/.f64 x 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 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 x y)))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(/.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 #s(literal -1/3 binary64) (/.f64 x 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 #s(literal -1/3 binary64) (/.f64 x 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 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) y))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) #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 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) y))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))))
(/.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) (pow.f64 y #s(literal -1 binary64)))
(/.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))

eval27.0ms (0.8%)

Memory: 10.7MiB live, 52.6MiB allocated
Compiler: Compiled 1 735 to 363 computations (79.1% saved)

prune29.0ms (0.9%)

Memory

-6.7MiB live, 68.1MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	182	9	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	10	192

Accuracy

100.0%

Counts

192 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	76.4%	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64))
▶	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
	99.6%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 x y)))
	99.5%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
	99.5%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))

Compiler

Compiled 127 to 117 computations (7.9% saved)

simplify8.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(/.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff	0	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64))
cost-diff	320	(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
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 #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	0	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Rules

240×	`lower-*.f32`
232×	`lower-*.f64`
124×	`associate-r`
86×	`associate-l`
64×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	80
0	29	80
1	39	76
2	68	76
3	136	76
4	206	76
5	226	76
6	227	76
0	227	76

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

Outputs
(/.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 #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
(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 (.f64 (/.f64 (/.f64 y x) x) (.f64 #s(literal 9 binary64) y)) #s(literal -1/2 binary64))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
(.f64 (/.f64 (/.f64 y x) x) (.f64 #s(literal 9 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
#s(literal -1/2 binary64)

localize62.0ms (1.9%)

Memory

-23.6MiB live, 95.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.16796875	(/.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy	0.24675751953688402	(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
accuracy	15.033972106066305	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64))
accuracy	0	(/.f64 y x)
accuracy	0.328125	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
accuracy	0.19140625	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
accuracy	0.31640625	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.171875	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy	0.41015625	(/.f64 #s(literal 1/3 binary64) y)
accuracy	0	(/.f64 x y)
accuracy	0.19140625	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Samples

47.0ms

256×

valid

Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions

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

ival-div: 11.0ms (35.5% of total)

ival-mult: 10.0ms (32.3% of total)

ival-pow: 6.0ms (19.4% of total)

const: 3.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.7%)

Memory

8.6MiB live, 46.9MiB allocated

Counts

12 → 252

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

Outputs
#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 (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ 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 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 (/ 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 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 (/ 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 (* 9 (/ (pow y 2) (pow x 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<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 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 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 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 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 #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 (/ 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 (* 9 (/ (pow y 2) (pow x 2))) (taylor inf y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor inf y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor inf y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor inf y) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
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#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) (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 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 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 (* 9 (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<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 (/ 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 (* 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) 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) (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 -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 -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 (* 9 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) (patch (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ x y)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ x y)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ x y)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ x y)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (/ (* 1/3 x) y) (* 1/3 x) (/ 1/3 (/ y x)) (/ y x) (* (/ (* 3 y) x) (/ (* 3 y) x)) (pow (* (/ (* 3 y) x) (/ (* 3 y) x)) -1/2) (/ (* 3 y) x) (* 3 y))
3.0ms	y	@	0	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (/ (* 1/3 x) y) (* 1/3 x) (/ 1/3 (/ y x)) (/ y x) (* (/ (* 3 y) x) (/ (* 3 y) x)) (pow (* (/ (* 3 y) x) (/ (* 3 y) x)) -1/2) (/ (* 3 y) x) (* 3 y))
2.0ms	y	@	-inf	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (/ (* 1/3 x) y) (* 1/3 x) (/ 1/3 (/ y x)) (/ y x) (* (/ (* 3 y) x) (/ (* 3 y) x)) (pow (* (/ (* 3 y) x) (/ (* 3 y) x)) -1/2) (/ (* 3 y) x) (* 3 y))
2.0ms	x	@	-inf	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (/ (* 1/3 x) y) (* 1/3 x) (/ 1/3 (/ y x)) (/ y x) (* (/ (* 3 y) x) (/ (* 3 y) x)) (pow (* (/ (* 3 y) x) (/ (* 3 y) x)) -1/2) (/ (* 3 y) x) (* 3 y))
2.0ms	x	@	0	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (/ (* 1/3 x) y) (* 1/3 x) (/ 1/3 (/ y x)) (/ y x) (* (/ (* 3 y) x) (/ (* 3 y) x)) (pow (* (/ (* 3 y) x) (/ (* 3 y) x)) -1/2) (/ (* 3 y) x) (* 3 y))

simplify11.0ms (0.3%)

Memory

24.2MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Rules

122×	`lower-*.f64`
122×	`lower-*.f32`
44×	`lower-/.f32`
44×	`lower-/.f64`
36×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1188
1	33	1188
2	51	1188
3	84	1188
4	112	1188
5	116	1188
0	116	1188

Stop Event

1×	iter limit
1×	saturated

Counts

252 → 252

Calls

Call 1

Inputs
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ 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 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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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)
(* 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 (/ 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)
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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)
(* 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 (/ 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)
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* -1/3 (/ x y))
(* -1/3 (/ x y))
(* -1/3 (/ x y))
(* -1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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)
(* 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 y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ 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)
(* 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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 9 (/ (pow y 2) (pow x 2)))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ 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)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
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(/ y x)
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(* 9 (/ (pow y 2) (pow x 2)))
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(* -1/3 (/ x y))
(* -1/3 (/ x y))
(* -1/3 (/ x y))
(* -1/3 (/ x y))
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(* 3 (/ y x))
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Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(/ x y)
(/.f64 x y)
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(/.f64 x y)
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
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(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(/ y x)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
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(/ x y)
(/.f64 x y)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(/ 1/3 y)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(/ y x)
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(* 9 (/ (pow y 2) (pow x 2)))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(/ x y)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
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(/ 1/3 y)
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(/ y x)
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(* 9 (/ (pow y 2) (pow x 2)))
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(* 9 (/ (pow y 2) (pow x 2)))
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(* 9 (/ (pow y 2) (pow x 2)))
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(* 3 y)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(* 1/3 x)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
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(/ y x)
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(* 9 (/ (pow y 2) (pow x 2)))
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(* 9 (/ (pow y 2) (pow x 2)))
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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rewrite152.0ms (4.6%)

Memory

-32.0MiB live, 230.3MiB allocated

Rules

2 868×	`lower-*.f32`
2 860×	`lower-*.f64`
2 210×	`lower-/.f32`
2 196×	`lower-/.f64`
1 542×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	29	52
1	91	52
2	435	52
3	3325	52
0	8874	52

Stop Event

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

Counts

12 → 1 592

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

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 #s(literal 9 binary64) (/.f64 y x)))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y x))))
(.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal 9 binary64))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 #s(literal 3 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 #s(literal -3 binary64) y))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal -3 binary64) y)))))
(.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal 2 binary64)) x))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 #s(literal -9 binary64)))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 x))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x y)))
(.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)) x)
(*.f64 (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/3 binary64) x))
(.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))))
(.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y))) (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal -1/3 binary64) x))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1/3 binary64) (/.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 #s(literal -1/3 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/3 binary64))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))
(.f64 (neg.f64 x) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/3 binary64)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) 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 #s(literal 1/3 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal -1/3 binary64))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))
(*.f64 x (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)))
(*.f64 x (/.f64 #s(literal -1/3 binary64) y))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x))))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 (log.f64 (pow.f64 (.f64 #s(literal -3 binary64) (/.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) #s(literal 8 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal -4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64)))) y)
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) x))) y)
(/.f64 (neg.f64 (/.f64 x #s(literal -3 binary64))) y)
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))) y)
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 x))) (.f64 #s(literal -3 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 y (/.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))) (.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64))))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) x)))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) y)) (.f64 y (.f64 #s(literal 1 binary64) (neg.f64 x)))) (.f64 (.f64 y y) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (/.f64 x #s(literal -3 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 y (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)))) (/.f64 y x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 y (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 y (/.f64 #s(literal -1/3 binary64) y))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (/.f64 y x))) (neg.f64 y)) (.f64 (.f64 #s(literal -3 binary64) (/.f64 y x)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 y (pow.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal -3 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -1/3 binary64) (/.f64 x y)))) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (/.f64 y x))) y) (.f64 (.f64 #s(literal -3 binary64) (/.f64 y x)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (.f64 y #s(literal -1/3 binary64))) (*.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 y))) (.f64 y (.f64 #s(literal -1/3 binary64) x))) (.f64 y (.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (.f64 #s(literal -1/3 binary64) x))) (.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) y)) (.f64 y (neg.f64 x))) (.f64 (*.f64 y y) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 y (.f64 #s(literal 1/3 binary64) x))) (.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 y (/.f64 #s(literal -1/3 binary64) y))) (/.f64 y x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 y #s(literal 1/3 binary64))) (*.f64 y (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) y)) (.f64 y x)) (.f64 (*.f64 y y) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 (neg.f64 x) y))) (.f64 #s(literal -3 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 x y))) (.f64 #s(literal -3 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64))))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 y) (/.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) y))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (/.f64 y x))) (.f64 (neg.f64 y) #s(literal -1 binary64))) (.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64)))) (.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (/.f64 y x))) (.f64 (neg.f64 y) #s(literal 1 binary64))) (.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (neg.f64 y) #s(literal -1/3 binary64))) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 y) (.f64 #s(literal -1/3 binary64) x))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (/.f64 (neg.f64 x) y))) (.f64 #s(literal -3 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) y)) (.f64 (neg.f64 y) (neg.f64 x))) (.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 #s(literal 1/3 binary64) x))) (.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) y))) (/.f64 y x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (.f64 (neg.f64 y) #s(literal 1/3 binary64))) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (/.f64 x y))) (.f64 #s(literal -3 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) y)) (.f64 (neg.f64 y) x)) (.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)))) (.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64))))) (.f64 (*.f64 y y) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))) (.f64 (.f64 y y) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1/3 binary64) y))) (.f64 #s(literal -3 binary64) (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -3 binary64) y) (pow.f64 y #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (/.f64 y x))) (.f64 #s(literal -3 binary64) y)) (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (.f64 #s(literal -3 binary64) y) #s(literal -1/3 binary64))) (.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) y))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) y))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(/.f64 (neg.f64 y) #s(literal 1/3 binary64))
(/.f64 (pow.f64 (.f64 #s(literal -3 binary64) y) #s(literal 2 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) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal -1/3 binary64))
(/.f64 y #s(literal 1/3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) y))
(-.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))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/3 binary64) y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y))

eval614.0ms (18.6%)

Memory: 38.6MiB live, 410.3MiB allocated
Compiler: Compiled 26 023 to 2 829 computations (89.1% saved)

prune560.0ms (17%)

Memory

-24.6MiB live, 257.5MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	2 101	3	2 104
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	2 104	10	2 114

Accuracy

100.0%

Counts

2 114 → 10

Alt Table

Click to see full alt table

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

Compiler

Compiled 87 to 87 computations (0% saved)

simplify12.0ms (0.4%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -3 binary64) y)
cost-diff	0	(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) y)) x)
cost-diff	320	(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y))
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) x)
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
cost-diff	384	(/.f64 x #s(literal 3 binary64))

Rules

108×	`lower-fma.f64`
108×	`lower-fma.f32`
108×	`lower-*.f32`
96×	`lower-*.f64`
68×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
0	31	67
1	51	67
2	77	67
3	98	67
4	134	67
5	162	67
6	190	67
7	236	67
8	278	67
9	300	67
10	317	67
11	317	67
0	317	67

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1.7%)

Memory

5.3MiB live, 79.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal -3 binary64) y)
accuracy	0.171875	(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) y)) x)
accuracy	0.29296875	(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.2734375	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
accuracy	0.31640625	(*.f64 x #s(literal -1/3 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.171875	(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) x)
accuracy	0.37890625	(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.34375	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy	0	(/.f64 x #s(literal 3 binary64))
accuracy	0.19140625	(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Samples

42.0ms

256×

valid

Compiler

Compiled 79 to 21 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (45.4% of total)

ival-div: 8.0ms (28% of total)

const: 7.0ms (24.5% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.5%)

Memory

-27.1MiB live, 18.4MiB allocated

Counts

12 → 216

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((/ x 3) (/ (/ x 3) y) (* (/ x y) 1/3) (/ x y) (* (/ -1 y) -1/3) (* (* (/ -1 y) -1/3) x) (/ -1 y) (* (/ -1 y) (* x -1/3)) (* x -1/3) (/ -1 (* -3 y)) (* (/ -1 (* -3 y)) x) (* -3 y))
1.0ms	x	@	-inf	((/ x 3) (/ (/ x 3) y) (* (/ x y) 1/3) (/ x y) (* (/ -1 y) -1/3) (* (* (/ -1 y) -1/3) x) (/ -1 y) (* (/ -1 y) (* x -1/3)) (* x -1/3) (/ -1 (* -3 y)) (* (/ -1 (* -3 y)) x) (* -3 y))
1.0ms	y	@	inf	((/ x 3) (/ (/ x 3) y) (* (/ x y) 1/3) (/ x y) (* (/ -1 y) -1/3) (* (* (/ -1 y) -1/3) x) (/ -1 y) (* (/ -1 y) (* x -1/3)) (* x -1/3) (/ -1 (* -3 y)) (* (/ -1 (* -3 y)) x) (* -3 y))
1.0ms	x	@	inf	((/ x 3) (/ (/ x 3) y) (* (/ x y) 1/3) (/ x y) (* (/ -1 y) -1/3) (* (* (/ -1 y) -1/3) x) (/ -1 y) (* (/ -1 y) (* x -1/3)) (* x -1/3) (/ -1 (* -3 y)) (* (/ -1 (* -3 y)) x) (* -3 y))
1.0ms	y	@	-inf	((/ x 3) (/ (/ x 3) y) (* (/ x y) 1/3) (/ x y) (* (/ -1 y) -1/3) (* (* (/ -1 y) -1/3) x) (/ -1 y) (* (/ -1 y) (* x -1/3)) (* x -1/3) (/ -1 (* -3 y)) (* (/ -1 (* -3 y)) x) (* -3 y))

simplify8.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`lower-*.f64`
20×	`lower-*.f32`
10×	`*-commutative`
8×	`lower-/.f32`
8×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	888
1	18	888
2	19	888
3	20	888
0	20	888

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 216

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

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

rewrite142.0ms (4.3%)

Memory

6.8MiB live, 160.4MiB allocated

Rules

1 828×	`lower-*.f32`
1 816×	`lower-*.f64`
1 386×	`lower-fma.f64`
1 386×	`lower-fma.f32`
1 242×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	56
0	31	46
1	79	46
2	294	46
3	1055	46
4	4652	46
0	8257	46

Stop Event

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

Counts

12 → 1 399

Calls

Call 1

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

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

eval204.0ms (6.2%)

Memory: 36.2MiB live, 298.2MiB allocated
Compiler: Compiled 16 949 to 1 584 computations (90.7% saved)

prune158.0ms (4.8%)

Memory

-30.1MiB live, 249.4MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	1 669	0	1 669
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	1 669	10	1 679

Accuracy

100.0%

Counts

1 679 → 10

Alt Table

Click to see full alt table

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

Compiler

Compiled 141 to 94 computations (33.3% saved)

regimes20.0ms (0.6%)

Memory

13.3MiB live, 51.2MiB allocated

Counts

13 → 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) #s(literal -1/3 binary64)) x)
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) y)) x)
(/.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 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 x y)))
(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))

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

Calls

4 calls:

6.0ms	x
4.0ms	(*.f64 y #s(literal 3 binary64))
4.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))
4.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes17.0ms (0.5%)

Memory

-4.4MiB live, 37.7MiB allocated

Counts

8 → 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) #s(literal -1/3 binary64)) x)
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) y)) x)
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))

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

Calls

4 calls:

8.0ms	y
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	x
3.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total -0.1b remaining (-44.9%)

Threshold costs -0.1b (-44.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.f64 y #s(literal 3 binary64))
1.0ms	y
1.0ms	x
1.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.5%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify24.0ms (0.7%)

Memory

9.3MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

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

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

soundness240.0ms (7.3%)

Memory

-36.5MiB live, 173.2MiB allocated

Rules

2 868×	`lower-*.f32`
2 860×	`lower-*.f64`
2 210×	`lower-/.f32`
2 196×	`lower-/.f64`
1 542×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	29	52
1	91	52
2	435	52
3	3325	52
0	8874	52
0	5	8
0	7	8
1	18	8
2	79	8
3	391	8
0	2315	8

Stop Event

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

preprocess58.0ms (1.8%)

Memory

5.4MiB live, 121.6MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 90 to 80 computations (11.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	77
0	31	67
1	51	67
2	77	67
3	98	67
4	134	67
5	162	67
6	190	67
7	236	67
8	278	67
9	300	67
10	317	67
11	317	67
0	317	67

Iter	Nodes	Cost
0	19	77
0	31	67
1	51	67
2	77	67
3	98	67
4	134	67
5	162	67
6	190	67
7	236	67
8	278	67
9	300	67
10	317	67
11	317	67
0	317	67

start0.0ms (0%)

analyze9.0ms (0.3%)

sample638.0ms (19.4%)

explain44.0ms (1.3%)

preprocess47.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.5%)

series6.0ms (0.2%)

simplify4.0ms (0.1%)

rewrite80.0ms (2.4%)

eval27.0ms (0.8%)

prune29.0ms (0.9%)

simplify8.0ms (0.3%)

localize62.0ms (1.9%)

series23.0ms (0.7%)

simplify11.0ms (0.3%)

rewrite152.0ms (4.6%)

eval614.0ms (18.6%)

prune560.0ms (17%)

simplify12.0ms (0.4%)

localize56.0ms (1.7%)

series15.0ms (0.5%)

simplify8.0ms (0.2%)

rewrite142.0ms (4.3%)

eval204.0ms (6.2%)

prune158.0ms (4.8%)

regimes20.0ms (0.6%)

regimes17.0ms (0.5%)

regimes6.0ms (0.2%)

simplify24.0ms (0.7%)

soundness240.0ms (7.3%)

preprocess58.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	77
0	31	67
1	51	67
2	77	67
3	98	67
4	134	67
5	162	67
6	190	67
7	236	67
8	278	67
9	300	67
10	317	67
11	317	67
0	317	67