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

analyze10.0ms (0.8%)

Memory

23.9MiB live, 23.9MiB 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)

sample557.0ms (46.6%)

Memory

-19.6MiB live, 889.5MiB allocated

Samples

336.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 64.0ms (47.1% of total)

ival-div: 60.0ms (44.1% of total)

ival-true: 5.0ms (3.7% of total)

exact: 5.0ms (3.7% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

preprocess50.0ms (4.2%)

Memory

24.9MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

(negabs x)

explain124.0ms (10.4%)

Memory

-28.9MiB live, 104.7MiB 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

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 (50.5% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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 (0.4%)

Memory

5.7MiB live, 5.7MiB 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×	`lower-/.f32`
8×	`lower-/.f64`
4×	`lower-*.f32`
4×	`associate-/r*`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (1.4%)

Memory

-3.0MiB live, 35.2MiB 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

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (57% of total)

ival-div: 2.0ms (38% 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

9.5MiB live, 9.5MiB allocated

Counts

2 → 36

Calls

Call 1

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

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))

rewrite95.0ms (8%)

Memory

8.7MiB live, 124.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	79	8
3	389	8
0	2303	8

Stop Event

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

Counts

2 → 155

Calls

Call 1

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

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

simplify6.0ms (0.5%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/2 (/ 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))

eval19.0ms (1.6%)

Memory: 0.4MiB live, 38.3MiB allocated
Compiler: Compiled 1 755 to 363 computations (79.3% saved)

prune22.0ms (1.8%)

Memory

9.0MiB live, 43.4MiB 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)

simplify9.0ms (0.8%)

Memory

-33.4MiB live, 11.1MiB 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×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	13	11
3	14	11
0	14	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (1.3%)

Memory

31.9MiB live, 31.9MiB 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

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 (51.3% of total)

ival-mult: 2.0ms (51.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.2%)

Memory

-36.0MiB live, 3.0MiB allocated

Counts

2 → 36

Calls

Call 1

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

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
1.0ms	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)

rewrite78.0ms (6.5%)

Memory

40.7MiB live, 118.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

990×	`lower-*.f32`
988×	`lower-*.f64`
778×	`lower-/.f32`
776×	`lower-/.f64`
180×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	72	8
3	348	8
0	2088	8

Stop Event

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

Counts

2 → 124

Calls

Call 1

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

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

simplify9.0ms (0.8%)

Memory

-26.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

eval16.0ms (1.3%)

Memory: -5.2MiB live, 33.0MiB allocated
Compiler: Compiled 1 437 to 277 computations (80.7% saved)

prune15.0ms (1.3%)

Memory

-3.3MiB live, 35.8MiB 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 (0.5%)

Memory

14.5MiB live, 14.5MiB 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)

regimes5.0ms (0.4%)

Memory

12.7MiB live, 12.7MiB 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:

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

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)

simplify5.0ms (0.4%)

Memory

11.1MiB live, 11.1MiB 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)))

soundness85.0ms (7.1%)

Memory

-48.7MiB live, 84.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	79	8
3	389	8
0	2303	8

Stop Event

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess39.0ms (3.2%)

Memory

10.2MiB live, 85.1MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 94 to 66 computations (29.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.8%)

sample557.0ms (46.6%)

preprocess50.0ms (4.2%)

explain124.0ms (10.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.4%)

localize17.0ms (1.4%)

series5.0ms (0.4%)

rewrite95.0ms (8%)

simplify6.0ms (0.5%)

eval19.0ms (1.6%)

prune22.0ms (1.8%)

simplify9.0ms (0.8%)

localize15.0ms (1.3%)

series2.0ms (0.2%)

rewrite78.0ms (6.5%)

simplify9.0ms (0.8%)

eval16.0ms (1.3%)

prune15.0ms (1.3%)

regimes6.0ms (0.5%)

regimes5.0ms (0.4%)

simplify5.0ms (0.4%)

soundness85.0ms (7.1%)

preprocess39.0ms (3.2%)

end0.0ms (0%)

Profiling