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

analyze9.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample502.0ms (17.5%)

Memory

13.6MiB live, 714.4MiB allocated

Samples

295.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 69.0ms (49.4% of total)

ival-mult: 58.0ms (41.6% of total)

ival-true: 6.0ms (4.3% of total)

exact: 4.0ms (2.9% of total)

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

Bogosity

preprocess50.0ms (1.8%)

Memory

4.5MiB live, 42.9MiB 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)

explain45.0ms (1.6%)

Memory

-1.6MiB live, 75.6MiB 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

19.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

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

ival-mult: 3.0ms (38% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.7%)

Memory

-15.0MiB live, 25.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (64.5% of total)

ival-mult: 2.0ms (32.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB 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
1.0ms	y	@	-inf	(* y 3)
1.0ms	y	@	0	(/ x (* y 3))
1.0ms	x	@	inf	(/ x (* y 3))
1.0ms	x	@	0	(/ x (* y 3))
0.0ms	y	@	inf	(/ x (* y 3))

rewrite93.0ms (3.3%)

Memory

21.2MiB live, 134.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 155

Calls

Call 1

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

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

simplify13.0ms (0.4%)

Memory

-24.0MiB live, 13.6MiB 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))

eval22.0ms (0.8%)

Memory: 1.6MiB live, 38.5MiB allocated
Compiler: Compiled 1 755 to 365 computations (79.2% saved)

prune25.0ms (0.9%)

Memory

13.7MiB live, 51.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

100.0%

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.0%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
▶	99.2%	(*.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 113 to 83 computations (26.5% saved)

simplify7.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	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

localize74.0ms (2.6%)

Memory

-22.3MiB live, 85.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.0%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.2%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))

Samples

34.0ms

256×

valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 9.0ms (47.4% of total)

ival-mult: 6.0ms (31.6% of total)

const: 4.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.4%)

Memory

-25.2MiB live, 12.3MiB 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
5.0ms	x	@	inf	(* x 1/3)
0.0ms	x	@	-inf	(* x 1/3)
0.0ms	x	@	-inf	(/ x y)
0.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	0	(/ y x)

rewrite586.0ms (20.4%)

Memory

23.8MiB live, 219.3MiB allocated

Algorithm

1×	batch-egg-rewrite

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

simplify20.0ms (0.7%)

Memory

2.1MiB live, 39.4MiB 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)

eval186.0ms (6.5%)

Memory: 7.3MiB live, 309.4MiB allocated
Compiler: Compiled 15 501 to 1 336 computations (91.4% saved)

prune91.0ms (3.2%)

Memory

9.1MiB live, 180.4MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 453	1	1 454
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	1 453	9	1 462

Accuracy

100.0%

Counts

1 462 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.0%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
▶	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
✓	99.2%	(*.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)
▶	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)

Compiler

Compiled 69 to 51 computations (26.1% saved)

simplify28.0ms (1%)

Memory

-1.4MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal -3 binary64) x)
✓	cost-diff	0	(*.f64 y (/.f64 #s(literal -3 binary64) x))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))

Rules

212×	`lower-fma.f64`
212×	`lower-fma.f32`
212×	`lower-*.f32`
206×	`lower-*.f64`
156×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
0	23	43
1	38	43
2	61	43
3	79	43
4	118	43
5	189	43
6	270	43
7	362	43
8	440	43
9	529	43
10	593	43
11	659	43
12	696	43
13	712	43
14	713	43
0	713	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (2.5%)

Memory

-13.9MiB live, 63.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -3 binary64) x)
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal -3 binary64) x))
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))

Samples

57.0ms

256×

valid

Compiler

Compiled 51 to 17 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 19.0ms (68.5% of total)

ival-mult: 4.0ms (14.4% of total)

const: 3.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

8 → 156

Calls

Call 1

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

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

39 calls:

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

rewrite180.0ms (6.3%)

Memory

-6.5MiB live, 265.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 862×	`lower-*.f32`
1 858×	`lower-fma.f64`
1 858×	`lower-fma.f32`
1 856×	`lower-*.f64`
1 152×	`log-div`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
0	23	32
1	70	32
2	277	32
3	1216	32
4	4407	32
0	9106	32

Stop Event

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

Counts

8 → 800

Calls

Call 1

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

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

simplify15.0ms (0.5%)

Memory

-4.3MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-*.f64`
24×	`lower-*.f32`
14×	`lower-/.f32`
14×	`lower-/.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	660
1	20	660
2	24	660
3	26	660
4	28	660
0	28	660

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

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

eval523.0ms (18.2%)

Memory: -4.3MiB live, 192.0MiB allocated
Compiler: Compiled 10 860 to 1 353 computations (87.5% saved)

prune112.0ms (3.9%)

Memory

1.0MiB live, 121.8MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	956	0	956
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	956	9	965

Accuracy

100.0%

Counts

965 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.0%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
✓	99.2%	(*.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)
✓	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)

Compiler

Compiled 122 to 76 computations (37.7% saved)

regimes13.0ms (0.5%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.3%)

Memory

-21.7MiB live, 17.1MiB allocated

Accuracy

Total -0.4b remaining (-120%)

Threshold costs -0.4b (-120%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	y
1.0ms	x
1.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness87.0ms (3%)

Memory

-22.9MiB live, 56.4MiB 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 19 to 13 computations (31.6% saved)

preprocess57.0ms (2%)

Memory

20.4MiB live, 138.1MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 136 to 96 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	49
0	23	43
1	38	43
2	61	43
3	79	43
4	118	43
5	189	43
6	270	43
7	362	43
8	440	43
9	529	43
10	593	43
11	659	43
12	696	43
13	712	43
14	713	43
0	713	43

Iter	Nodes	Cost
0	15	49
0	23	43
1	38	43
2	61	43
3	79	43
4	118	43
5	189	43
6	270	43
7	362	43
8	440	43
9	529	43
10	593	43
11	659	43
12	696	43
13	712	43
14	713	43
0	713	43

analyze9.0ms (0.3%)

sample502.0ms (17.5%)

preprocess50.0ms (1.8%)

explain45.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.7%)

series5.0ms (0.2%)

rewrite93.0ms (3.3%)

simplify13.0ms (0.4%)

eval22.0ms (0.8%)

prune25.0ms (0.9%)

simplify7.0ms (0.2%)

localize74.0ms (2.6%)

series11.0ms (0.4%)

rewrite586.0ms (20.4%)

simplify20.0ms (0.7%)

eval186.0ms (6.5%)

prune91.0ms (3.2%)

simplify28.0ms (1%)

localize72.0ms (2.5%)

series6.0ms (0.2%)

rewrite180.0ms (6.3%)

simplify15.0ms (0.5%)

eval523.0ms (18.2%)

prune112.0ms (3.9%)

regimes13.0ms (0.5%)

regimes7.0ms (0.3%)

simplify6.0ms (0.2%)

soundness87.0ms (3%)

preprocess57.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	49
0	23	43
1	38	43
2	61	43
3	79	43
4	118	43
5	189	43
6	270	43
7	362	43
8	440	43
9	529	43
10	593	43
11	659	43
12	696	43
13	712	43
14	713	43
0	713	43