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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

Memory

-16.1MiB live, 23.1MiB 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)

sample484.0ms (15.7%)

Memory

25.6MiB live, 963.8MiB allocated

Samples

287.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-div: 66.0ms (48.5% of total)

ival-mult: 56.0ms (41.1% of total)

ival-true: 6.0ms (4.4% of total)

exact: 5.0ms (3.7% of total)

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

Bogosity

explain301.0ms (9.8%)

Memory

-166.0MiB live, 113.3MiB 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

265.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-div: 4.0ms (48.3% of total)

ival-mult: 3.0ms (36.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess53.0ms (1.7%)

Memory

22.7MiB live, 60.5MiB 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)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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

8.9MiB live, 8.9MiB 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)

localize19.0ms (0.6%)

Memory

1.0MiB live, 39.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.1875	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 5.0ms (70.4% of total)

ival-mult: 2.0ms (28.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.4%)

Memory

-28.9MiB live, 15.3MiB 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	x	@	0	(/ x (* y 3))
3.0ms	x	@	inf	(/ x (* y 3))
1.0ms	y	@	-inf	(* y 3)
1.0ms	y	@	0	(/ x (* y 3))
1.0ms	y	@	inf	(/ x (* y 3))

simplify5.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB 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))

rewrite102.0ms (3.3%)

Memory

0.3MiB live, 157.8MiB 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 #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 (neg.f64 x) 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 (neg.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 #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 (neg.f64 x) 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 (neg.f64 x) y))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (neg.f64 x) 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))

eval19.0ms (0.6%)

Memory: 11.1MiB live, 49.6MiB allocated
Compiler: Compiled 1 791 to 365 computations (79.6% saved)

prune24.0ms (0.8%)

Memory

-10.9MiB live, 67.4MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

100.0%

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
▶	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.6%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
	99.2%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
▶	99.6%	(*.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 123 to 89 computations (27.6% saved)

simplify7.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

48×	`lower-*.f32`
40×	`lower-*.f64`
26×	`associate-r`
18×	`*-commutative`
16×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	24	59
1	35	59
2	49	59
3	71	59
4	78	59
5	78	59
0	78	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 #s(literal 1/3 binary64) (/.f64 y x))
#s(literal 1/3 binary64)
(/.f64 y x)
y
x

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

localize49.0ms (1.6%)

Memory

-9.2MiB live, 112.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0.26171875	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.265625	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
accuracy	0.27734375	(*.f64 x #s(literal 1/3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.27734375	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy	0.38671875	(/.f64 #s(literal 1/3 binary64) y)
accuracy	0.13671875	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
accuracy	0.27734375	(*.f64 x #s(literal 1/3 binary64))

Samples

32.0ms

256×

valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 10.0ms (50.7% of total)

ival-mult: 6.0ms (30.4% of total)

const: 4.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

-23.2MiB live, 15.5MiB allocated

Counts

10 → 204

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

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))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>

Calls

51 calls:

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

simplify9.0ms (0.3%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	852
1	15	852
2	16	852
3	17	852
0	17	852

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)

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

rewrite162.0ms (5.2%)

Memory

14.2MiB live, 292.7MiB allocated

Rules

2 080×	`lower-*.f32`
2 072×	`lower-*.f64`
1 376×	`log-div`
1 232×	`log-prod`
1 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	24	40
1	65	40
2	231	40
3	921	40
4	5009	40
0	8935	40

Stop Event

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

Counts

10 → 1 179

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

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

eval593.0ms (19.2%)

Memory: 9.5MiB live, 352.7MiB allocated
Compiler: Compiled 15 717 to 1 336 computations (91.5% saved)

prune89.0ms (2.9%)

Memory

-25.8MiB live, 219.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 451	3	1 454
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	1 454	8	1 462

Accuracy

100.0%

Counts

1 462 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.7%	(/.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
✓	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
▶	66.8%	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
▶	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))

Compiler

Compiled 66 to 46 computations (30.3% saved)

simplify526.0ms (17.1%)

Memory

22.9MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/3 binary64))
cost-diff	640	(/.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
cost-diff	640	(.f64 (/.f64 x (.f64 y y)) y)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)

Rules

5 400×	`lower-*.f32`
5 386×	`lower-*.f64`
3 276×	`lower-/.f32`
3 270×	`lower-/.f64`
1 886×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
0	26	63
1	51	53
2	124	53
3	316	53
4	1600	53
5	1789	53
6	1962	53
7	2339	53
8	2841	53
9	3534	53
10	6154	53
11	6518	53
12	7041	53
13	7551	53
0	8073	53

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (1.7%)

Memory

-18.3MiB live, 101.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0.15625	(.f64 (.f64 x x) #s(literal 1/3 binary64))
accuracy	24.680044826472948	(/.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	0.27734375	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
accuracy	7.5832034867560925	(/.f64 x (*.f64 y y))
accuracy	13.410510670613084	(.f64 (/.f64 x (.f64 y y)) y)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.2421875	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	0.27734375	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (48.2% of total)

ival-div: 8.0ms (35.1% of total)

const: 3.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

11 → 216

Calls

Call 1

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

Outputs
#<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 (/ 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 (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<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 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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)>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ x (* y y))
1.0ms	x	@	inf	(/ x (* y y))
0.0ms	x	@	-inf	(/ x (* y y))
0.0ms	y	@	0	(/ x (* y y))
0.0ms	x	@	0	(* (* x x) 1/3)

simplify9.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`lower-*.f64`
28×	`lower-*.f32`
12×	`lower-/.f32`
12×	`lower-/.f64`
10×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	864
1	22	864
2	28	864
3	30	864
4	31	864
0	31	864

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 216

Calls

Call 1

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

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

rewrite103.0ms (3.4%)

Memory

-14.2MiB live, 113.1MiB allocated

Rules

1 320×	`lower-*.f32`
1 306×	`lower-*.f64`
1 050×	`lower-/.f32`
1 044×	`lower-/.f64`
456×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	26	53
1	76	43
2	349	43
0	2231	43

Stop Event

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

Counts

11 → 726

Calls

Call 1

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

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

eval125.0ms (4.1%)

Memory: 12.8MiB live, 163.9MiB allocated
Compiler: Compiled 9 093 to 862 computations (90.5% saved)

prune88.0ms (2.9%)

Memory

-17.7MiB live, 93.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	942	0	942
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	942	8	950

Accuracy

100.0%

Counts

950 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.7%	(/.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
✓	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	66.8%	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
✓	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))

Compiler

Compiled 142 to 82 computations (42.3% saved)

regimes15.0ms (0.5%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes10.0ms (0.3%)

Memory

-32.4MiB live, 12.7MiB allocated

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 x y) #s(literal 1/3 binary64))

Calls

4 calls:

5.0ms	y
2.0ms	x
2.0ms	(*.f64 y #s(literal 3 binary64))
1.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	13	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness126.0ms (4.1%)

Memory

-12.3MiB live, 94.1MiB 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×	done
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 41 to 26 computations (36.6% saved)

preprocess61.0ms (2%)

Memory

27.8MiB live, 113.0MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 146 to 100 computations (31.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze10.0ms (0.3%)

sample484.0ms (15.7%)

explain301.0ms (9.8%)

preprocess53.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.6%)

series12.0ms (0.4%)

simplify5.0ms (0.2%)

rewrite102.0ms (3.3%)

eval19.0ms (0.6%)

prune24.0ms (0.8%)

simplify7.0ms (0.2%)

localize49.0ms (1.6%)

series8.0ms (0.3%)

simplify9.0ms (0.3%)

rewrite162.0ms (5.2%)

eval593.0ms (19.2%)

prune89.0ms (2.9%)

simplify526.0ms (17.1%)

localize52.0ms (1.7%)

series8.0ms (0.2%)

simplify9.0ms (0.3%)

rewrite103.0ms (3.4%)

eval125.0ms (4.1%)

prune88.0ms (2.9%)

regimes15.0ms (0.5%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

simplify6.0ms (0.2%)

soundness126.0ms (4.1%)

preprocess61.0ms (2%)

end0.0ms (0%)

Profiling