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

analyze10.0ms (0.7%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample526.0ms (38.1%)

Memory

-11.9MiB live, 871.8MiB allocated

Samples

365.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 88.0ms (54.1% of total)

ival-div: 61.0ms (37.5% of total)

ival-true: 6.0ms (3.7% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess82.0ms (5.9%)

Memory

3.1MiB live, 40.0MiB 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)

explain148.0ms (10.7%)

Memory

18.6MiB live, 92.3MiB allocated

FPErrors

Click to see full error table

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

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

112.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-div: 96.0ms (96.2% of total)

ival-mult: 3.0ms (3% 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.3%)

Memory

5.5MiB live, 5.5MiB 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)

localize104.0ms (7.5%)

Memory

-23.0MiB live, 21.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

96.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 88.0ms (98% of total)

ival-div: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.4%)

Memory

5.2MiB live, 5.2MiB 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))
0.0ms	y	@	inf	(/ x (* y 2))

rewrite228.0ms (16.5%)

Memory

3.4MiB live, 78.9MiB 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

9.4MiB live, 9.4MiB 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))

eval100.0ms (7.3%)

Memory: -11.0MiB live, 27.8MiB allocated
Compiler: Compiled 1 755 to 363 computations (79.3% saved)

prune129.0ms (9.3%)

Memory

-2.8MiB live, 39.9MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	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 x (*.f64 y #s(literal 2 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.5%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess31.0ms (2.2%)

Memory

-1.7MiB live, 76.1MiB allocated

Remove

(negabs y)

(negabs x)

Compiler

Compiled 84 to 60 computations (28.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.7%)

sample526.0ms (38.1%)

preprocess82.0ms (5.9%)

explain148.0ms (10.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.3%)

localize104.0ms (7.5%)

series5.0ms (0.4%)

rewrite228.0ms (16.5%)

simplify7.0ms (0.5%)

eval100.0ms (7.3%)

prune129.0ms (9.3%)

simplify7.0ms (0.5%)

soundness0.0ms (0%)

preprocess31.0ms (2.2%)

end0.0ms (0%)

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