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

analyze9.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB 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)

sample716.0ms (16.5%)

Memory

-155.1MiB live, 591.0MiB allocated

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-div: 63.0ms (47.6% of total)

ival-mult: 56.0ms (42.3% of total)

ival-true: 5.0ms (3.8% of total)

exact: 4.0ms (3% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

preprocess51.0ms (1.2%)

Memory

-7.2MiB live, 29.8MiB allocated

Algorithm

2×	egg-herbie

Rules

516×	`times-frac`
316×	`associate-r`
312×	`associate-l`
252×	`associate-/r*`
156×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	42	30
2	104	30
3	328	30
4	970	30
5	1588	30
6	1820	30
7	1855	30
8	1893	30
9	1925	30
0	5	5
1	8	5
2	10	5
0	10	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (* y 3))

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

Call 2

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

Outputs
(/ x (* y 3))
(* x (/ 1/3 y))
(/ (neg x) (* y 3))
(* x (/ -1/3 y))
(/ x (* (neg y) 3))
(* x (/ -1/3 y))
(neg (/ (neg x) (* y 3)))
(* x (/ 1/3 y))
(neg (/ x (* (neg y) 3)))
(* x (/ 1/3 y))
(/ y (* x 3))
(* y (/ 1/3 x))

Symmetry

(negabs x)

(negabs y)

explain51.0ms (1.2%)

Memory

-12.1MiB live, 70.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-div: 4.0ms (51.2% of total)

ival-mult: 3.0ms (38.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB 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 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	10	11
0	10	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

21.4MiB live, 21.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (53% of total)

ival-mult: 2.0ms (53% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-26.2MiB live, 8.8MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/ x (* y 3))>
#<alt (* y 3)>

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

Calls

9 calls:

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

rewrite120.0ms (2.8%)

Memory

10.1MiB live, 168.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 060×	`-lowering-.f32`
1 060×	`-lowering-.f64`
898×	`/-lowering-/.f32`
898×	`/-lowering-/.f64`
212×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	77	8
3	387	8
0	2302	8

Stop Event

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

Counts

2 → 155

Calls

Call 1

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

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

simplify7.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval20.0ms (0.5%)

Memory: 11.1MiB live, 49.7MiB allocated
Compiler: Compiled 1 989 to 364 computations (81.7% saved)

prune35.0ms (0.8%)

Memory

-29.4MiB live, 62.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	183	8	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	9	192

Accuracy

100.0%

Counts

192 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
▶	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
▶	99.7%	(/.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) x))
	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
▶	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 137 to 103 computations (24.8% saved)

simplify7.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	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 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	1088	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
50×	`/-lowering-/.f32`
50×	`/-lowering-/.f64`
22×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	29	63
2	45	63
3	60	63
4	76	63
5	95	63
6	99	63
0	99	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize495.0ms (11.4%)

Memory

-4.9MiB live, 152.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	accuracy	99.8%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	accuracy	99.7%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.9%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))

Samples

56.0ms	87×	5	exit
22.0ms	169×	0	valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 44.0ms (80.5% of total)

adjust: 3.0ms (5.5% of total)

const: 3.0ms (5.5% of total)

ival-mult: 3.0ms (5.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series6.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

11 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite275.0ms (6.3%)

Memory

-3.2MiB live, 421.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 974×	`-lowering-.f32`
2 974×	`-lowering-.f64`
2 228×	`accelerator-lowering-fma.f32`
2 228×	`accelerator-lowering-fma.f64`
1 962×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	82	43
2	379	43
3	1509	43
4	5996	43
0	8364	43

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 003

Calls

Call 1

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

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

simplify28.0ms (0.7%)

Memory

10.9MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	852
1	18	852
2	19	852
3	20	852
0	20	852

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

Calls

Call 1

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

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

eval127.0ms (2.9%)

Memory: -5.7MiB live, 256.8MiB allocated
Compiler: Compiled 15 692 to 1 336 computations (91.5% saved)

prune89.0ms (2%)

Memory

2.8MiB live, 162.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 267	1	1 268
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	1 269	8	1 277

Accuracy

100.0%

Counts

1 277 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.6%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) x))
▶	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶	99.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
✓	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 61 to 45 computations (26.2% saved)

simplify7.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	384	(/.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) x))
✓	cost-diff	-64	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
44×	`/-lowering-/.f32`
44×	`/-lowering-/.f64`
26×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	32	55
2	57	55
3	86	55
4	110	55
5	118	55
0	118	55

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 y) (* x 1/3))
(/ 1 y)
1
y
(* x 1/3)
x
1/3
(* (/ x y) 1/3)
(/ x y)
x
y
1/3
(/ 1 (/ (+ (* y 3) 0) x))
1
(/ (+ (* y 3) 0) x)
(+ (* y 3) 0)
y
3
0
x
(/ (/ x 3) y)
(/ x 3)
x
3
y

Outputs
(* (/ 1 y) (* x 1/3))
(/.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
x
1/3
#s(literal 1/3 binary64)
(* (/ x y) 1/3)
(/.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)))
(/ x y)
(/.f64 x y)
x
y
1/3
#s(literal 1/3 binary64)
(/ 1 (/ (+ (* y 3) 0) x))
(/.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* y 3) 0) x)
(/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) x)
(+ (* y 3) 0)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
y
3
#s(literal 3 binary64)
0
#s(literal 0 binary64)
x
(/ (/ x 3) y)
(/.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)))
(/ x 3)
(*.f64 x #s(literal 1/3 binary64))
x
3
#s(literal 3 binary64)
y

localize53.0ms (1.2%)

Memory

13.8MiB live, 95.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
✓	accuracy	99.7%	(/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.6%	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))

Samples

34.0ms

256×

valid

Compiler

Compiled 64 to 19 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 11.0ms (51.4% of total)

ival-mult: 5.0ms (23.3% of total)

const: 4.0ms (18.7% of total)

ival-add: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

10 → 192

Calls

Call 1

Inputs
#<alt (* (/ 1 y) (* x 1/3))>
#<alt (/ 1 y)>
#<alt (* x 1/3)>
#<alt (/ x y)>
#<alt (* (/ x y) 1/3)>
#<alt (/ 1 (/ (+ (* y 3) 0) x))>
#<alt (/ (+ (* y 3) 0) x)>
#<alt (+ (* y 3) 0)>
#<alt (/ x 3)>
#<alt (/ (/ x 3) y)>

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

Calls

48 calls:

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

rewrite778.0ms (17.9%)

Memory

8.7MiB live, 640.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 440×	`accelerator-lowering-fma.f32`
3 440×	`accelerator-lowering-fma.f64`
2 902×	`-lowering-.f32`
2 902×	`-lowering-.f64`
2 186×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	82	40
2	542	40
3	5488	40
0	8154	40

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 2 177

Calls

Call 1

Inputs
(* (/ 1 y) (* x 1/3))
(/ 1 y)
(* x 1/3)
(/ x y)
(* (/ x y) 1/3)
(/ 1 (/ (+ (* y 3) 0) x))
(/ (+ (* y 3) 0) x)
(+ (* y 3) 0)
(/ x 3)
(/ (/ x 3) y)

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

simplify28.0ms (0.6%)

Memory

-8.2MiB live, 70.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	816
1	20	816
2	24	816
3	26	816
0	26	816

Stop Event

1×	iter limit
1×	saturated

Counts

192 → 192

Calls

Call 1

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

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

eval336.0ms (7.7%)

Memory: 0.9MiB live, 434.7MiB allocated
Compiler: Compiled 43 959 to 2 494 computations (94.3% saved)

prune301.0ms (6.9%)

Memory

-13.7MiB live, 357.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	2 367	2	2 369
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	2 368	9	2 377

Accuracy

100.0%

Counts

2 377 → 9

Alt Table

Click to see full alt table

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

simplify6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
44×	`/-lowering-/.f32`
44×	`/-lowering-/.f64`
24×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	24	32
2	50	32
3	91	32
4	103	32
5	107	32
0	107	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (1%)

Memory

-30.4MiB live, 49.2MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

24.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

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

ival-div: 5.0ms (37.7% of total)

ival-mult: 4.0ms (30.1% of total)

const: 3.0ms (22.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite282.0ms (6.5%)

Memory

5.8MiB live, 482.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 276×	`-lowering-.f32`
3 276×	`-lowering-.f64`
2 166×	`accelerator-lowering-fma.f32`
2 166×	`accelerator-lowering-fma.f64`
1 898×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	45	24
2	204	24
3	952	24
4	5257	24
0	8279	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 730

Calls

Call 1

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

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

simplify15.0ms (0.3%)

Memory

29.4MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	504
1	19	504
2	23	504
3	26	504
4	27	504
0	27	504

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

Calls

Call 1

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

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

eval123.0ms (2.8%)

Memory: -15.8MiB live, 173.2MiB allocated
Compiler: Compiled 10 854 to 1 495 computations (86.2% saved)

prune76.0ms (1.8%)

Memory

17.1MiB live, 173.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	850	0	850
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	850	9	859

Accuracy

100.0%

Counts

859 → 9

Alt Table

Click to see full alt table

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

Compiler

Compiled 144 to 81 computations (43.8% saved)

regimes17.0ms (0.4%)

Memory

-0.2MiB live, 38.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
4.0ms	x
4.0ms	(*.f64 y #s(literal 3 binary64))
4.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB 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	y
2.0ms	(*.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 18 to 13 computations (27.8% saved)

regimes9.0ms (0.2%)

Memory

-27.7MiB live, 14.5MiB 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:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	13	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness113.0ms (2.6%)

Memory

-19.2MiB live, 95.3MiB allocated

Rules

1 060×	`-lowering-.f32`
1 060×	`-lowering-.f64`
898×	`/-lowering-/.f32`
898×	`/-lowering-/.f64`
212×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	77	8
3	387	8
0	2302	8

Stop Event

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

preprocess66.0ms (1.5%)

Memory

16.3MiB live, 140.3MiB allocated

Remove

(negabs y)

(negabs x)

Compiler

Compiled 146 to 100 computations (31.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

sample716.0ms (16.5%)

preprocess51.0ms (1.2%)

explain51.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.3%)

series9.0ms (0.2%)

rewrite120.0ms (2.8%)

simplify7.0ms (0.2%)

eval20.0ms (0.5%)

prune35.0ms (0.8%)

simplify7.0ms (0.2%)

localize495.0ms (11.4%)

series6.0ms (0.1%)

rewrite275.0ms (6.3%)

simplify28.0ms (0.7%)

eval127.0ms (2.9%)

prune89.0ms (2%)

simplify7.0ms (0.2%)

localize53.0ms (1.2%)

series6.0ms (0.1%)

rewrite778.0ms (17.9%)

simplify28.0ms (0.6%)

eval336.0ms (7.7%)

prune301.0ms (6.9%)

simplify6.0ms (0.1%)

localize43.0ms (1%)

series2.0ms (0%)

rewrite282.0ms (6.5%)

simplify15.0ms (0.3%)

eval123.0ms (2.8%)

prune76.0ms (1.8%)

regimes17.0ms (0.4%)

regimes6.0ms (0.1%)

regimes9.0ms (0.2%)

simplify7.0ms (0.2%)

soundness113.0ms (2.6%)

preprocess66.0ms (1.5%)

end0.0ms (0%)

Profiling