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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.4%)

Memory

16.4MiB live, 16.4MiB 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)

sample498.0ms (20.6%)

Memory

35.6MiB live, 684.0MiB allocated

Samples

305.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 80.0ms (51.1% of total)

ival-div: 64.0ms (40.9% of total)

ival-true: 5.0ms (3.2% of total)

exact: 4.0ms (2.6% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain52.0ms (2.1%)

Memory

-14.6MiB live, 68.0MiB 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

28.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-div: 9.0ms (67.4% of total)

ival-mult: 3.0ms (22.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess52.0ms (2.1%)

Memory

0.4MiB live, 37.5MiB allocated

Algorithm

1×	egg-herbie

Rules

514×	`times-frac`
314×	`associate-l`
304×	`associate-r`
244×	`associate-/r*`
154×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 (0.2%)

Memory

4.8MiB live, 4.8MiB 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)

localize18.0ms (0.8%)

Memory

-15.6MiB live, 21.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.171875	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (51.5% of total)

ival-mult: 2.0ms (51.5% 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

7.5MiB live, 7.5MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

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

Calls

9 calls:

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

simplify4.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB 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))

rewrite94.0ms (3.9%)

Memory

5.4MiB live, 84.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 155

Calls

Call 1

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

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

eval20.0ms (0.8%)

Memory: -3.9MiB live, 33.2MiB allocated
Compiler: Compiled 1 791 to 365 computations (79.6% saved)

prune28.0ms (1.2%)

Memory

16.3MiB live, 54.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	185	6	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	7	192

Accuracy

100.0%

Counts

192 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
	99.5%	(/.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)))
▶	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	98.4%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
▶	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 111 to 75 computations (32.4% saved)

simplify5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

18×	`lower-/.f32`
16×	`lower-*.f32`
12×	`lift-/.f64`
10×	`lower-*.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (2%)

Memory

-17.5MiB live, 103.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	1.022980710085592	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
accuracy	0.15234375	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
accuracy	0.3984375	(*.f64 x #s(literal 1/3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.25390625	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy	0.1640625	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy	0.36328125	(/.f64 #s(literal 1/3 binary64) y)
accuracy	0	(/.f64 x y)
accuracy	0.19921875	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions

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

ival-div: 9.0ms (46.2% of total)

ival-mult: 7.0ms (35.9% of total)

const: 3.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.4%)

Memory

-16.3MiB live, 22.4MiB allocated

Counts

9 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

simplify8.0ms (0.3%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

192 → 192

Calls

Call 1

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

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

rewrite140.0ms (5.8%)

Memory

-3.6MiB live, 194.2MiB allocated

Rules

1 768×	`lower-*.f32`
1 762×	`lower-*.f64`
1 350×	`log-div`
1 084×	`frac-times`
1 068×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

9 → 1 086

Calls

Call 1

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

eval152.0ms (6.3%)

Memory: 29.4MiB live, 255.7MiB allocated
Compiler: Compiled 15 689 to 1 223 computations (92.2% saved)

prune104.0ms (4.3%)

Memory

-8.8MiB live, 185.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 407	2	1 409
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1 409	7	1 416

Accuracy

100.0%

Counts

1 416 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 51 to 37 computations (27.5% saved)

simplify6.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

52×	`lower-*.f32`
48×	`lower-*.f64`
22×	`associate-r`
18×	`lower-/.f32`
18×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	15	26
1	25	26
2	40	26
3	51	26
4	65	26
5	78	26
6	86	26
0	86	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (1.9%)

Memory

-28.7MiB live, 57.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 3 binary64))
accuracy	0.15234375	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.1640625	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)) x)
accuracy	0.3828125	(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-div: 6.0ms (41.1% of total)

const: 5.0ms (34.2% of total)

ival-mult: 3.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

simplify5.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	348
1	14	348
2	15	348
3	16	348
0	16	348

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

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

Outputs
(/ 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)
(*.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)

rewrite160.0ms (6.6%)

Memory

10.6MiB live, 204.0MiB allocated

Rules

2 160×	`lower-*.f32`
2 156×	`lower-*.f64`
1 780×	`lower-/.f32`
1 774×	`lower-/.f64`
1 424×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	15	19
1	46	19
2	187	19
3	853	19
4	3932	19
0	9223	19

Stop Event

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

Counts

5 → 477

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

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

eval62.0ms (2.6%)

Memory: 3.3MiB live, 122.1MiB allocated
Compiler: Compiled 5 911 to 800 computations (86.5% saved)

prune60.0ms (2.5%)

Memory

18.1MiB live, 132.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	561	0	561
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	561	7	568

Accuracy

100.0%

Counts

568 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 110 to 65 computations (40.9% saved)

regimes15.0ms (0.6%)

Memory

-16.0MiB live, 30.4MiB 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 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (-.f64 #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)))

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

Calls

4 calls:

5.0ms	(*.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
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.8%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.5%)

Memory

-15.1MiB live, 24.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes6.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.3%)

Memory

-25.8MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	15	20

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness674.0ms (27.9%)

Memory

-44.3MiB live, 192.3MiB allocated

Rules

1 768×	`lower-*.f32`
1 762×	`lower-*.f64`
1 350×	`log-div`
1 084×	`frac-times`
1 068×	`lower-/.f32`

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

Stop Event

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

Compiler

Compiled 65 to 41 computations (36.9% saved)

preprocess104.0ms (4.3%)

Memory

29.7MiB live, 109.0MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 156 to 104 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.4%)

sample498.0ms (20.6%)

explain52.0ms (2.1%)

preprocess52.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize18.0ms (0.8%)

series5.0ms (0.2%)

simplify4.0ms (0.2%)

rewrite94.0ms (3.9%)

eval20.0ms (0.8%)

prune28.0ms (1.2%)

simplify5.0ms (0.2%)

localize49.0ms (2%)

series10.0ms (0.4%)

simplify8.0ms (0.3%)

rewrite140.0ms (5.8%)

eval152.0ms (6.3%)

prune104.0ms (4.3%)

simplify6.0ms (0.3%)

localize45.0ms (1.9%)

series3.0ms (0.1%)

simplify5.0ms (0.2%)

rewrite160.0ms (6.6%)

eval62.0ms (2.6%)

prune60.0ms (2.5%)

regimes15.0ms (0.6%)

regimes11.0ms (0.5%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

simplify7.0ms (0.3%)

soundness674.0ms (27.9%)

preprocess104.0ms (4.3%)

end0.0ms (0%)

Profiling