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

analyze10.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample499.0ms (17.4%)

Memory

22.4MiB live, 756.4MiB allocated

Samples

298.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div: 66.0ms (45.5% of total)

ival-mult: 65.0ms (44.8% of total)

ival-true: 6.0ms (4.1% of total)

exact: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

preprocess53.0ms (1.8%)

Memory

-6.1MiB live, 30.5MiB 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)))

Symmetry

(negabs y)

(negabs x)

explain53.0ms (1.9%)

Memory

-10.5MiB live, 71.2MiB 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 40 to 24 computations (40% saved)

Precisions

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

ival-div: 4.0ms (47.8% of total)

ival-mult: 4.0ms (47.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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)))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)

localize15.0ms (0.5%)

Memory

21.4MiB live, 21.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.7%	(/.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 (51% of total)

ival-mult: 2.0ms (51% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

-29.1MiB live, 7.5MiB allocated

Counts

2 → 36

Calls

Call 1

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

Outputs
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(/ x (* y 3))
1.0ms	y	@	-inf	(* y 3)
1.0ms	y	@	0	(/ x (* y 3))
1.0ms	x	@	inf	(/ x (* y 3))
1.0ms	x	@	0	(/ x (* y 3))

simplify5.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB 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))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)

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

rewrite97.0ms (3.4%)

Memory

24.7MiB live, 98.8MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval24.0ms (0.8%)

Memory: -7.9MiB live, 35.0MiB allocated
Compiler: Compiled 1 791 to 365 computations (79.6% saved)

prune23.0ms (0.8%)

Memory

5.6MiB live, 43.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	6	192

Accuracy

100.0%

Counts

192 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.3%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶	99.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
▶	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 81 to 59 computations (27.2% saved)

simplify7.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

52×	`lower-*.f32`
44×	`lower-*.f64`
26×	`associate-r`
20×	`*-commutative`
20×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	23	59
1	36	59
2	53	59
3	74	59
4	85	59
5	93	59
0	93	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.8%)

Memory

-6.2MiB live, 69.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.3%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (39.9% of total)

ival-mult: 6.0ms (34.2% of total)

const: 4.0ms (22.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

9 → 180

Calls

Call 1

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

Outputs
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>

Calls

45 calls:

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

simplify13.0ms (0.5%)

Memory

-29.8MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-*.f64`
12×	`lower-*.f32`
8×	`lower-/.f32`
8×	`lower-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	780
1	14	780
2	15	780
3	16	780
0	16	780

Stop Event

1×	iter limit
1×	saturated

Counts

180 → 180

Calls

Call 1

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

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

rewrite266.0ms (9.3%)

Memory

-0.5MiB live, 398.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 344×	`lower-*.f32`
2 336×	`lower-*.f64`
2 116×	`lower-fma.f64`
2 116×	`lower-fma.f32`
1 430×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	23	37
1	66	37
2	229	37
3	865	37
4	4559	37
0	8622	37

Stop Event

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

Counts

9 → 1 387

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) y))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))
(exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/3 binary64))) (/.f64 y (.f64 x #s(literal 1/3 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 y #s(literal 3 binary64))))))
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(/.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 y))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) y))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) y))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) y)) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1/3 binary64) y)) x)
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 y (.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 y (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 y (.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 y (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 x (.f64 x x)))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 x x))) (*.f64 y x))
(/.f64 (.f64 #s(literal -1/3 binary64) (neg.f64 (.f64 x (.f64 x x)))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 #s(literal -1/3 binary64) (neg.f64 (.f64 x x))) (*.f64 y x))
(/.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (.f64 x x))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (/.f64 (.f64 x #s(literal -1/3 binary64)) y)) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x x) (*.f64 y y))) (/.f64 x y))
(/.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x x) (*.f64 y y))) (/.f64 x y))
(/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/3 binary64)) (/.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64)) (/.f64 x y))
(/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/3 binary64)) (/.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/3 binary64)) (/.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/3 binary64))) (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)) #s(literal 1/2 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -1/3 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -1/3 binary64)) y))
(*.f64 #s(literal -1/3 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal -1/3 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal -3 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1/3 binary64)))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (neg.f64 x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) x))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y)) (sqrt.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y)) (neg.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y))))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y)) (.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y)) (/.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (neg.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/3 binary64)))
(.f64 (neg.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64)))
(.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/3 binary64)))
(.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y))) (sqrt.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y)))
(.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y))) (sqrt.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y)))
(.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(.f64 (.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 1/3 binary64)) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 3 binary64) x) (sqrt.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 y (.f64 y y))) (*.f64 y y))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) (*.f64 y y)) y)
(.f64 (/.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 y (.f64 y y))) (*.f64 y y))
(.f64 (/.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 y y)) y)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 3 binary64) x) (sqrt.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)))

eval595.0ms (20.8%)

Memory: 41.8MiB live, 340.0MiB allocated
Compiler: Compiled 21 153 to 1 519 computations (92.8% saved)

prune110.0ms (3.8%)

Memory

-27.4MiB live, 223.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 818	2	1 820
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 818	8	1 826

Accuracy

100.0%

Counts

1 826 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.3%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64))) x)
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
✓	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
▶	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)

Compiler

Compiled 62 to 46 computations (25.8% saved)

simplify6.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

52×	`lower-*.f32`
46×	`lower-*.f64`
24×	`associate-r`
18×	`lower-/.f32`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	17	30
1	30	30
2	55	30
3	83	30
4	83	30
0	83	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (1.2%)

Memory

24.0MiB live, 62.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64))) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)
✓	accuracy	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

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

ival-mult: 5.0ms (38% of total)

ival-div: 4.0ms (30.4% of total)

const: 3.0ms (22.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

-36.0MiB live, 2.8MiB allocated

Counts

6 → 96

Calls

Call 1

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

Outputs
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ 1 y)
0.0ms	y	@	inf	(* (/ 1 (* y 3)) x)
0.0ms	y	@	0	(* (/ 1 y) 1/3)
0.0ms	y	@	0	(/ 1 (* y 3))
0.0ms	y	@	-inf	(* (/ 1 y) 1/3)

simplify6.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
8×	`*-commutative`
8×	`lower-/.f32`
8×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	384
1	16	384
2	18	384
3	19	384
4	20	384
0	20	384

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

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

rewrite214.0ms (7.5%)

Memory

-1.8MiB live, 348.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 000×	`lower-*.f32`
2 994×	`lower-*.f64`
2 624×	`lower-/.f32`
2 620×	`lower-/.f64`
2 200×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	17	22
1	44	22
2	156	22
3	555	22
4	2548	22
0	8965	22

Stop Event

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

Counts

6 → 686

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y))
(exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (.f64 y #s(literal 3 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 y #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 9 binary64))) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y))))) (/.f64 (/.f64 #s(literal 1/27 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 9 binary64))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y))))))
(neg.f64 (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 #s(literal -3 binary64))))
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 #s(literal -1/3 binary64) y)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 9 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 3 binary64))) y)
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -3 binary64))) y)
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 y #s(literal 3 binary64))))) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 3 binary64)) #s(literal 0 binary64))) y)
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(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) y)
(.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 9 binary64))))
(.f64 (.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 #s(literal 3 binary64) (sqrt.f64 y)))
(.f64 (sqrt.f64 (.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -3 binary64))) y)

eval84.0ms (2.9%)

Memory: 33.1MiB live, 157.1MiB allocated
Compiler: Compiled 9 027 to 1 415 computations (84.3% saved)

prune76.0ms (2.7%)

Memory

-32.6MiB live, 127.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	782	0	782
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	782	8	790

Accuracy

100.0%

Counts

790 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.3%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64))) x)
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
✓	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)

Compiler

Compiled 110 to 66 computations (40% saved)

regimes12.0ms (0.4%)

Memory

22.9MiB live, 22.9MiB 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 x #s(literal 1/3 binary64)) 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 y #s(literal 3 binary64))) x)
(/.f64 (/.f64 x y) #s(literal 3 binary64))

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

Calls

4 calls:

3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	x
3.0ms	y
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 18 to 13 computations (27.8% saved)

regimes390.0ms (13.6%)

Memory

-26.6MiB live, 12.4MiB allocated

Accuracy

Total -0.3b remaining (-113.9%)

Threshold costs -0.3b (-113.9%)

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 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness93.0ms (3.3%)

Memory

-7.2MiB live, 71.9MiB 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×	done
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess96.0ms (3.3%)

Memory

16.4MiB live, 91.6MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 136 to 96 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

sample499.0ms (17.4%)

preprocess53.0ms (1.8%)

explain53.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize15.0ms (0.5%)

series10.0ms (0.3%)

simplify5.0ms (0.2%)

rewrite97.0ms (3.4%)

eval24.0ms (0.8%)

prune23.0ms (0.8%)

simplify7.0ms (0.2%)

localize53.0ms (1.8%)

series5.0ms (0.2%)

simplify13.0ms (0.5%)

rewrite266.0ms (9.3%)

eval595.0ms (20.8%)

prune110.0ms (3.8%)

simplify6.0ms (0.2%)

localize35.0ms (1.2%)

series2.0ms (0.1%)

simplify6.0ms (0.2%)

rewrite214.0ms (7.5%)

eval84.0ms (2.9%)

prune76.0ms (2.7%)

regimes12.0ms (0.4%)

regimes390.0ms (13.6%)

simplify6.0ms (0.2%)

soundness93.0ms (3.3%)

preprocess96.0ms (3.3%)

end0.0ms (0%)

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