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)

sample690.0ms (18.1%)

Memory

24.6MiB live, 796.4MiB allocated

Samples

530.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 103.0ms (53.3% of total)

ival-div: 77.0ms (39.9% of total)

ival-true: 5.0ms (2.6% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess51.0ms (1.3%)

Memory

-13.6MiB live, 64.4MiB 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)

explain50.0ms (1.3%)

Memory

13.6MiB live, 95.9MiB 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

22.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

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

ival-mult: 3.0ms (37.9% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify5.0ms (0.1%)

Memory

-34.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

10×	`/-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 (0.4%)

Memory

27.8MiB live, 27.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

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

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

-26.3MiB live, 12.7MiB 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
2.0ms	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))
1.0ms	y	@	inf	(/ x (* y 3))

rewrite300.0ms (7.9%)

Memory

6.1MiB live, 119.3MiB 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

15.8MiB live, 15.8MiB 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))

eval19.0ms (0.5%)

Memory: 5.0MiB live, 42.4MiB allocated
Compiler: Compiled 1 989 to 364 computations (81.7% saved)

prune31.0ms (0.8%)

Memory

-3.0MiB live, 53.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

100.0%

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
	70.1%	(/.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))))
▶	99.5%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
	99.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
▶	99.5%	(*.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 139 to 93 computations (33.1% saved)

simplify24.0ms (0.6%)

Memory

-32.4MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
26×	`associate-r`
20×	`*-commutative`
20×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	27	59
2	44	59
3	66	59
4	77	59
5	85	59
0	85	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize51.0ms (1.3%)

Memory

15.4MiB live, 92.1MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

33.0ms

256×

valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

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

ival-div: 9.0ms (47% of total)

ival-mult: 7.0ms (36.5% of total)

const: 3.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

9 → 180

Calls

Call 1

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

Calls

45 calls:

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

rewrite283.0ms (7.4%)

Memory

11.6MiB live, 572.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 344×	`-lowering-.f32`
2 344×	`-lowering-.f64`
2 116×	`accelerator-lowering-fma.f32`
2 116×	`accelerator-lowering-fma.f64`
1 430×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	57	37
2	220	37
3	858	37
4	4548	37
0	8615	37

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 1 387

Calls

Call 1

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

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

simplify25.0ms (0.7%)

Memory

-2.3MiB live, 76.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	780
1	14	780
2	15	780
3	16	780
0	16	780

Stop Event

1×	iter limit
1×	saturated

Counts

180 → 180

Calls

Call 1

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

eval196.0ms (5.1%)

Memory: 2.1MiB live, 459.1MiB allocated
Compiler: Compiled 22 990 to 1 519 computations (93.4% saved)

prune107.0ms (2.8%)

Memory

15.6MiB live, 263.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 819	1	1 820
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	1 820	8	1 828

Accuracy

100.0%

Counts

1 828 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.5%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	99.5%	(*.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)
▶	75.4%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 y y #s(literal 0 binary64))) y) x)

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify284.0ms (7.5%)

Memory

-14.0MiB live, 337.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	320	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	cost-diff	-64	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 y y #s(literal 0 binary64))) y) x)
✓	cost-diff	0	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (fma.f64 y y #s(literal 0 binary64)))
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 y y #s(literal 0 binary64))) y)

Rules

4 810×	`-lowering-.f32`
4 810×	`-lowering-.f64`
2 518×	`/-lowering-/.f32`
2 518×	`/-lowering-/.f64`
2 084×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	21	43
2	47	31
3	97	31
4	218	31
5	486	31
6	1561	31
7	2253	31
8	2624	31
9	2925	31
10	3190	31
11	3460	31
12	4746	31
13	6227	31
14	7360	31
15	7806	31
0	8048	31

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize44.0ms (1.1%)

Memory

-7.8MiB live, 80.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	accuracy	100.0%	(fma.f64 y y #s(literal 0 binary64))
✓	accuracy	99.7%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 y y #s(literal 0 binary64))) y) x)
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	60.2%	(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 y y #s(literal 0 binary64))) y)

Samples

24.0ms

256×

valid

Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions

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

ival-div: 5.0ms (34.4% of total)

ival-mult: 4.0ms (27.5% of total)

const: 4.0ms (27.5% of total)

ival-add: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

6 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite244.0ms (6.4%)

Memory

21.7MiB live, 530.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 618×	`-lowering-.f32`
2 618×	`-lowering-.f64`
2 302×	`accelerator-lowering-fma.f32`
2 302×	`accelerator-lowering-fma.f64`
2 222×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	62	36
2	425	24
3	3957	24
0	8583	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 830

Calls

Call 1

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

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

simplify16.0ms (0.4%)

Memory

5.4MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	444
1	14	444
2	17	444
3	18	444
4	19	444
0	19	444

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

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

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

eval109.0ms (2.9%)

Memory: -14.5MiB live, 256.4MiB allocated
Compiler: Compiled 21 020 to 2 066 computations (90.2% saved)

prune94.0ms (2.5%)

Memory

-6.3MiB live, 272.3MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	937	1	938
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	938	8	946

Accuracy

100.0%

Counts

946 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.5%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	99.5%	(*.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)
▶	75.4%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) y) x)

Compiler

Compiled 62 to 44 computations (29% saved)

simplify369.0ms (9.7%)

Memory

20.2MiB live, 465.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

7 748×	`-lowering-.f32`
7 748×	`-lowering-.f64`
4 162×	`associate-/r/`
3 504×	`cube-prod`
3 416×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	15	27
2	42	19
3	94	19
4	233	19
5	594	19
6	1430	19
7	2050	19
8	2130	19
9	2279	19
10	2489	19
11	2761	19
12	3106	19
13	3524	19
14	4029	19
15	4471	19
16	4658	19
17	4731	19
18	4821	19
19	4926	19
20	5287	19
21	6018	19
22	7008	19
0	10913	19

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize29.0ms (0.8%)

Memory

-25.4MiB live, 53.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) y) x)
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
✓	accuracy	60.2%	(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) y)

Samples

19.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (56.3% of total)

const: 3.0ms (24.1% of total)

ival-div: 2.0ms (16.1% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite128.0ms (3.4%)

Memory

26.3MiB live, 180.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 784×	`-lowering-.f32`
1 784×	`-lowering-.f64`
1 444×	`/-lowering-/.f32`
1 444×	`/-lowering-/.f64`
906×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	26	24
2	131	16
3	666	16
0	3852	16

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

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

simplify12.0ms (0.3%)

Memory

-18.5MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	252
1	13	252
2	16	252
3	17	252
4	18	252
0	18	252

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

eval299.0ms (7.8%)

Memory: -94.6MiB live, 78.1MiB allocated
Compiler: Compiled 4 759 to 959 computations (79.8% saved)

prune47.0ms (1.2%)

Memory

6.5MiB live, 127.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	377	0	377
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	377	8	385

Accuracy

100.0%

Counts

385 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.5%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	99.5%	(*.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)
✓	75.4%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) y) x)

Compiler

Compiled 140 to 79 computations (43.6% saved)

regimes17.0ms (0.5%)

Memory

-5.7MiB live, 36.7MiB allocated

Counts

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

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

Calls

4 calls:

6.0ms	x
4.0ms	(*.f64 y #s(literal 3 binary64))
4.0ms	y
3.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.2%)

Memory

-22.3MiB live, 15.4MiB 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:

4.0ms	x
2.0ms	y
2.0ms	(*.f64 y #s(literal 3 binary64))
1.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	14	20

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness144.0ms (3.8%)

Memory

-14.6MiB live, 96.7MiB 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 43 to 26 computations (39.5% saved)

preprocess65.0ms (1.7%)

Memory

20.0MiB live, 130.3MiB allocated

Remove

(negabs y)

(negabs x)

Compiler

Compiled 156 to 102 computations (34.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

sample690.0ms (18.1%)

preprocess51.0ms (1.3%)

explain50.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize15.0ms (0.4%)

series6.0ms (0.2%)

rewrite300.0ms (7.9%)

simplify7.0ms (0.2%)

eval19.0ms (0.5%)

prune31.0ms (0.8%)

simplify24.0ms (0.6%)

localize51.0ms (1.3%)

series5.0ms (0.1%)

rewrite283.0ms (7.4%)

simplify25.0ms (0.7%)

eval196.0ms (5.1%)

prune107.0ms (2.8%)

simplify284.0ms (7.5%)

localize44.0ms (1.1%)

series5.0ms (0.1%)

rewrite244.0ms (6.4%)

simplify16.0ms (0.4%)

eval109.0ms (2.9%)

prune94.0ms (2.5%)

simplify369.0ms (9.7%)

localize29.0ms (0.8%)

series1.0ms (0%)

rewrite128.0ms (3.4%)

simplify12.0ms (0.3%)

eval299.0ms (7.8%)

prune47.0ms (1.2%)

regimes17.0ms (0.5%)

regimes11.0ms (0.3%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

simplify7.0ms (0.2%)

soundness144.0ms (3.8%)

preprocess65.0ms (1.7%)

end0.0ms (0%)

Profiling