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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample778.0ms (28.6%)

Memory

-155.5MiB live, 924.1MiB allocated

Samples

562.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 408.0ms

ival-mult: 321.0ms (78.7% of total)

ival-div: 74.0ms (18.2% of total)

ival-true: 6.0ms (1.5% of total)

exact: 4.0ms (1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain44.0ms (1.6%)

Memory

12.2MiB live, 90.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (48.9% of total)

ival-mult: 4.0ms (48.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (1.9%)

Memory

-15.9MiB live, 65.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.5%)

Memory

-12.7MiB live, 26.3MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

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 (45.3% of total)

ival-mult: 2.0ms (45.3% of total)

ival-true: 1.0ms (22.6% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

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

Calls

6 calls:

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

simplify4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	156
1	11	156
2	13	156
3	15	156
4	16	156
0	16	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

rewrite76.0ms (2.8%)

Memory

-12.0MiB live, 106.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 155

Calls

Call 1

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

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

eval19.0ms (0.7%)

Memory: 5.0MiB live, 43.9MiB allocated
Compiler: Compiled 1 735 to 363 computations (79.1% saved)

prune9.0ms (0.3%)

Memory

-12.8MiB live, 26.7MiB 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))
▶	99.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
	99.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
▶	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
▶	99.5%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))

Compiler

Compiled 69 to 69 computations (0% saved)

simplify10.0ms (0.4%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

84×	`lower-fma.f64`
84×	`lower-fma.f32`
84×	`lower-*.f32`
74×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
0	26	59
1	38	59
2	57	59
3	75	59
4	95	59
5	110	59
6	130	59
7	159	59
8	186	59
9	212	59
10	234	59
11	237	59
0	237	59

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

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

localize48.0ms (1.8%)

Memory

4.3MiB live, 83.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.2734375	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
accuracy	0.2734375	(*.f64 x #s(literal -1/3 binary64))
accuracy	0.18359375	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
accuracy	0.2734375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0	(/.f64 x y)
accuracy	0.2734375	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy	0.23046875	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy	0.34375	(/.f64 #s(literal 1/3 binary64) y)
accuracy	0	(/.f64 x y)
accuracy	0.171875	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 63 to 18 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 11.0ms (41.1% of total)

ival-mult: 9.0ms (33.6% of total)

const: 6.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.5%)

Memory

-19.6MiB live, 18.0MiB allocated

Counts

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3))
1.0ms	x	@	-inf	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3))
1.0ms	y	@	0	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3))
1.0ms	y	@	-inf	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3))
1.0ms	y	@	inf	((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3))

simplify7.0ms (0.3%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	816
1	15	816
2	16	816
3	17	816
0	17	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))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 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)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 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)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 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)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)

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

rewrite511.0ms (18.8%)

Memory

-11.1MiB live, 144.9MiB allocated

Rules

2 236×	`lower-*.f32`
2 226×	`lower-*.f64`
2 114×	`lower-/.f32`
2 104×	`lower-/.f64`
1 516×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
0	26	40
1	68	40
2	238	40
3	847	40
4	4527	40
0	8905	40

Stop Event

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

Counts

10 → 1 143

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

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

eval539.0ms (19.8%)

Memory: 24.9MiB live, 242.0MiB allocated
Compiler: Compiled 15 296 to 1 247 computations (91.8% saved)

prune52.0ms (1.9%)

Memory

12.0MiB live, 100.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 481	0	1 481
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	1 481	7	1 488

Accuracy

100.0%

Counts

1 488 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 37 to 37 computations (0% saved)

simplify4.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	12	11
3	16	11
4	17	11
0	17	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.7%)

Memory

-11.4MiB live, 26.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y x)
accuracy	0.31242520939992086	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

const: 6.0ms (65.1% of total)

ival-div: 3.0ms (32.5% of total)

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

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

series4.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs

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

Calls

6 calls:

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

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB 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	6	192
1	9	192
2	11	192
3	13	192
4	14	192
0	14	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite82.0ms (3%)

Memory

1.9MiB live, 79.8MiB allocated

Rules

1 408×	`lower-*.f64`
1 408×	`lower-*.f32`
1 404×	`lower-/.f32`
1 400×	`lower-/.f64`
1 002×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	25	8
2	115	8
3	567	8
4	3663	8
0	8631	8

Stop Event

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

Counts

2 → 241

Calls

Call 1

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

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

eval30.0ms (1.1%)

Memory: 12.7MiB live, 49.9MiB allocated
Compiler: Compiled 3 111 to 612 computations (80.3% saved)

prune26.0ms (1%)

Memory

-16.3MiB live, 20.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	289	7	296

Accuracy

100.0%

Counts

296 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 74 to 57 computations (23% saved)

regimes12.0ms (0.4%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes41.0ms (1.5%)

Memory

-19.7MiB live, 18.7MiB 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 #s(literal 1/3 binary64) x) y)
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))

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

Calls

4 calls:

33.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB 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 10 to 13 computations (-30% saved)

regimes5.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.6%	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 10 to 13 computations (-30% saved)

simplify33.0ms (1.2%)

Memory

-19.3MiB live, 35.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	14	20

Stop Event

1×

saturated

Calls

Call 1

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

soundness143.0ms (5.3%)

Memory

10.3MiB live, 120.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 50 to 34 computations (32% saved)

preprocess118.0ms (4.3%)

Memory

0.5MiB live, 162.3MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 120 to 102 computations (15% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	61
0	26	59
1	38	59
2	57	59
3	75	59
4	95	59
5	110	59
6	130	59
7	159	59
8	186	59
9	212	59
10	234	59
11	237	59
0	237	59

Iter	Nodes	Cost
0	16	61
0	26	59
1	38	59
2	57	59
3	75	59
4	95	59
5	110	59
6	130	59
7	159	59
8	186	59
9	212	59
10	234	59
11	237	59
0	237	59

start0.0ms (0%)

analyze9.0ms (0.3%)

sample778.0ms (28.6%)

explain44.0ms (1.6%)

preprocess51.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.5%)

series6.0ms (0.2%)

simplify4.0ms (0.1%)

rewrite76.0ms (2.8%)

eval19.0ms (0.7%)

prune9.0ms (0.3%)

simplify10.0ms (0.4%)

localize48.0ms (1.8%)

series13.0ms (0.5%)

simplify7.0ms (0.3%)

rewrite511.0ms (18.8%)

eval539.0ms (19.8%)

prune52.0ms (1.9%)

simplify4.0ms (0.2%)

localize19.0ms (0.7%)

series4.0ms (0.2%)

simplify4.0ms (0.1%)

rewrite82.0ms (3%)

eval30.0ms (1.1%)

prune26.0ms (1%)

regimes12.0ms (0.4%)

regimes41.0ms (1.5%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

simplify33.0ms (1.2%)

soundness143.0ms (5.3%)

preprocess118.0ms (4.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	61
0	26	59
1	38	59
2	57	59
3	75	59
4	95	59
5	110	59
6	130	59
7	159	59
8	186	59
9	212	59
10	234	59
11	237	59
0	237	59