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

analyze10.0ms (0.7%)

Memory

-8.6MiB live, 29.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample719.0ms (45.3%)

Memory

-13.1MiB live, 911.2MiB allocated

Samples

450.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-div: 81.0ms (52% of total)

ival-mult: 63.0ms (40.4% of total)

ival-true: 6.0ms (3.9% of total)

exact: 4.0ms (2.6% of total)

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

Bogosity

preprocess47.0ms (3%)

Memory

23.5MiB live, 63.4MiB 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 2))

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

Call 2

Inputs
(/ x (* y 2))
(/ (neg x) (* y 2))
(/ x (* (neg y) 2))
(neg (/ (neg x) (* y 2)))
(neg (/ x (* (neg y) 2)))
(/ y (* x 2))

Outputs
(/ x (* y 2))
(* x (/ 1/2 y))
(/ (neg x) (* y 2))
(* x (/ -1/2 y))
(/ x (* (neg y) 2))
(* x (/ -1/2 y))
(neg (/ (neg x) (* y 2)))
(* x (/ 1/2 y))
(neg (/ x (* (neg y) 2)))
(* x (/ 1/2 y))
(/ y (* x 2))
(* y (/ 1/2 x))

Symmetry

(negabs x)

(negabs y)

explain51.0ms (3.2%)

Memory

-1.3MiB live, 117.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`x`
0	-	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 6.0ms (58.5% of total)

ival-mult: 4.0ms (39% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 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 2))
x
(* y 2)
y
2

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

localize38.0ms (2.4%)

Memory

-17.6MiB live, 19.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Samples

33.0ms

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 (52.5% of total)

ival-mult: 2.0ms (52.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.3%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/ x (* y 2))>
#<alt (* y 2)>

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y 2)
1.0ms	y	@	0	(/ x (* y 2))
1.0ms	x	@	inf	(/ x (* y 2))
1.0ms	x	@	0	(/ x (* y 2))
1.0ms	y	@	inf	(/ x (* y 2))

rewrite121.0ms (7.6%)

Memory

-20.5MiB live, 112.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	77	8
3	385	8
0	2292	8

Stop Event

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

Counts

2 → 155

Calls

Call 1

Inputs
(/ x (* y 2))
(* y 2)

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

simplify7.0ms (0.5%)

Memory

16.8MiB live, 16.8MiB 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
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

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

eval126.0ms (7.9%)

Memory: -1.8MiB live, 36.2MiB allocated
Compiler: Compiled 1 755 to 363 computations (79.3% saved)

prune34.0ms (2.1%)

Memory

10.1MiB live, 48.8MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	1	192

Accuracy

100.0%

Counts

192 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	11	11
3	12	11
0	12	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize17.0ms (1%)

Memory

-2.2MiB live, 35.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (48% of total)

ival-mult: 2.0ms (48% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/ (* x 1/2) y)>
#<alt (* x 1/2)>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 1/2)
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	x	@	0	(* x 1/2)
0.0ms	x	@	0	(/ (* x 1/2) y)
0.0ms	x	@	inf	(/ (* x 1/2) y)

rewrite97.0ms (6.1%)

Memory

-15.1MiB live, 180.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

990×	`-lowering-.f32`
990×	`-lowering-.f64`
778×	`/-lowering-/.f32`
778×	`/-lowering-/.f64`
180×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	70	8
3	344	8
0	2082	8

Stop Event

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

Counts

2 → 124

Calls

Call 1

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

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

simplify6.0ms (0.4%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	156
1	9	156
2	11	156
3	12	156
0	12	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval19.0ms (1.2%)

Memory: -22.8MiB live, 49.9MiB allocated
Compiler: Compiled 1 437 to 277 computations (80.7% saved)

prune15.0ms (1%)

Memory

6.7MiB live, 46.1MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	1	161

Accuracy

100.0%

Counts

161 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)

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

Calls

4 calls:

1.0ms	(*.f64 y #s(literal 2 binary64))
1.0ms	x
1.0ms	y
1.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
100.0%	1	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.5%)

Memory

-25.2MiB live, 19.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))

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

Calls

4 calls:

4.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
1.0ms	x
1.0ms	y
1.0ms	(*.f64 y #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
99.6%	1	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))

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

soundness204.0ms (12.8%)

Memory

-21.8MiB live, 55.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	77	8
3	385	8
0	2292	8

Stop Event

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess42.0ms (2.7%)

Memory

4.2MiB live, 101.9MiB allocated

Remove

(negabs y)

(negabs x)

Compiler

Compiled 94 to 66 computations (29.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.7%)

sample719.0ms (45.3%)

preprocess47.0ms (3%)

explain51.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize38.0ms (2.4%)

series5.0ms (0.3%)

rewrite121.0ms (7.6%)

simplify7.0ms (0.5%)

eval126.0ms (7.9%)

prune34.0ms (2.1%)

simplify4.0ms (0.2%)

localize17.0ms (1%)

series1.0ms (0.1%)

rewrite97.0ms (6.1%)

simplify6.0ms (0.4%)

eval19.0ms (1.2%)

prune15.0ms (1%)

regimes6.0ms (0.4%)

regimes8.0ms (0.5%)

simplify7.0ms (0.4%)

soundness204.0ms (12.8%)

preprocess42.0ms (2.7%)

end0.0ms (0%)

Profiling