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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.5%)

Memory

-15.8MiB live, 23.3MiB 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)

sample518.0ms (22.1%)

Memory

32.6MiB live, 726.5MiB allocated

Samples

314.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 65.0ms (46.5% of total)

ival-mult: 60.0ms (43% of total)

ival-true: 6.0ms (4.3% of total)

exact: 5.0ms (3.6% of total)

ival-assert: 4.0ms (2.9% of total)

Bogosity

explain46.0ms (2%)

Memory

-13.1MiB live, 67.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (47% of total)

ival-mult: 4.0ms (47% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (2.7%)

Memory

14.6MiB live, 52.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	40	25
2	103	25
3	336	25
4	1008	25
5	1723	25
6	2066	25
7	2213	25
8	2251	25
9	2371	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 3 binary64)))

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

Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

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

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

localize17.0ms (0.7%)

Memory

-16.5MiB live, 21.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.23046875	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (53.5% of total)

ival-div: 2.0ms (35.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

simplify4.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	11	8
2	13	8
3	15	8
4	16	8
0	16	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

rewrite111.0ms (4.7%)

Memory

6.4MiB live, 119.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	80	8
3	389	8
4	2306	8
0	9003	8

Stop Event

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

Counts

2 → 530

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))
(.f64 (fabs.f64 (.f64 x (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal -3 binary64) y))
(.f64 (fabs.f64 (.f64 x (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -2 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal -1/3 binary64) x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(.f64 (fabs.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)))) (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)))
(.f64 (fabs.f64 (.f64 x #s(literal -1/3 binary64))) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (fabs.f64 (/.f64 (neg.f64 x) y)) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (fabs.f64 (.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) y))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1/3 binary64) y)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) y)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)))
(.f64 (.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal -1/3 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)))
(.f64 (neg.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal -3 binary64) (/.f64 x y)))
(.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) x)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (.f64 x x))))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 (neg.f64 x) x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 x) x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 y))))
(.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 y))))
(.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -3 binary64))))
(.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (neg.f64 y))))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) y)))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (neg.f64 y))))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) y)))
(.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -3 binary64))))
(.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -3 binary64) y))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (neg.f64 y))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) y)))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (neg.f64 y))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 y x))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -3 binary64) y) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal 3 binary64) x))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 (neg.f64 x) y))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -3 binary64))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 (neg.f64 x) y))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))) (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (neg.f64 (.f64 (*.f64 #s(literal -3 binary64) y) x)) (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -3 binary64))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64))))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))
(.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x #s(literal -1/3 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)) (fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal -1/3 binary64) y)) x))
(.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))))
(.f64 (sqrt.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y))) (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -3 binary64) y))))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) x)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) x)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (.f64 x x))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 #s(literal -3 binary64) y))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (.f64 x x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 #s(literal -3 binary64) y))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1/3 binary64) (/.f64 x y))
(.f64 (.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1/3 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (fabs.f64 (/.f64 (neg.f64 x) y)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x #s(literal -1/3 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal -1/3 binary64))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -3 binary64) (/.f64 x y)))))
(*.f64 x (/.f64 #s(literal -1/3 binary64) y))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -3 binary64) (/.f64 x y))))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
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eval70.0ms (3%)

Memory: 11.6MiB live, 99.4MiB allocated
Compiler: Compiled 6 235 to 1 000 computations (84% saved)

prune13.0ms (0.6%)

Memory

-3.0MiB live, 33.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	527	5	532
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	527	6	533

Accuracy

100.0%

Counts

533 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 61 to 61 computations (0% saved)

simplify59.0ms (2.5%)

Memory

-14.5MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	1088	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 #s(literal -1/3 binary64) y)
cost-diff	128	(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	384	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
0	29	61
1	46	61
2	75	61
3	126	61
4	240	61
5	542	61
6	1030	61
7	1503	61
8	1965	61
9	2468	61
10	2577	61
11	2591	61
12	2627	61
13	2627	61
0	2627	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (2.7%)

Memory

5.9MiB live, 85.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(/.f64 #s(literal -3 binary64) x)
accuracy	0.3154487793053261	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0.1953125	(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
accuracy	0.37890625	(/.f64 #s(literal -1/3 binary64) y)
accuracy	0.171875	(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0	(/.f64 x y)
accuracy	0.28125	(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.1796875	(/.f64 (/.f64 x y) #s(literal 3 binary64))

Samples

52.0ms

256×

valid

Compiler

Compiled 130 to 38 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 15.0ms (40.8% of total)

const: 13.0ms (35.3% of total)

ival-mult: 7.0ms (19% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.3%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

11 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (/ x y) 3) (/ x y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1/3 y) (neg x)) (/ -1/3 y) (neg x) (/ (/ -1 y) (/ -3 x)) (/ -1 y) (/ -3 x))
1.0ms	x	@	-inf	((/ (/ x y) 3) (/ x y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1/3 y) (neg x)) (/ -1/3 y) (neg x) (/ (/ -1 y) (/ -3 x)) (/ -1 y) (/ -3 x))
1.0ms	x	@	0	((/ (/ x y) 3) (/ x y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1/3 y) (neg x)) (/ -1/3 y) (neg x) (/ (/ -1 y) (/ -3 x)) (/ -1 y) (/ -3 x))
1.0ms	y	@	0	((/ (/ x y) 3) (/ x y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1/3 y) (neg x)) (/ -1/3 y) (neg x) (/ (/ -1 y) (/ -3 x)) (/ -1 y) (/ -3 x))
1.0ms	y	@	inf	((/ (/ x y) 3) (/ x y) (* (/ x y) 1/3) (/ (* 1/3 x) y) (* 1/3 x) (* (/ -1/3 y) (neg x)) (/ -1/3 y) (neg x) (/ (/ -1 y) (/ -3 x)) (/ -1 y) (/ -3 x))

simplify26.0ms (1.1%)

Memory

-21.4MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	18	22
2	22	22
3	24	22
4	32	22
5	48	22
6	108	22
7	264	22
8	505	22
9	608	22
10	891	22
11	964	22
12	1003	22
0	1003	22

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 7

Calls

Call 1

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

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

rewrite179.0ms (7.6%)

Memory

32.9MiB live, 188.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
0	29	42
1	87	42
2	397	42
3	1876	42
4	7316	42
0	8512	42

Stop Event

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

Counts

11 → 1 851

Calls

Call 1

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

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

eval170.0ms (7.2%)

Memory: -6.8MiB live, 176.7MiB allocated
Compiler: Compiled 12 838 to 1 990 computations (84.5% saved)

prune42.0ms (1.8%)

Memory

15.3MiB live, 53.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	955	1	956
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	956	6	962

Accuracy

100.0%

Counts

962 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 31 to 31 computations (0% saved)

simplify6.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	10	11
3	12	11
0	12	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (1.1%)

Memory

-32.1MiB live, 25.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 x #s(literal 3 binary64))
accuracy	0.171875	(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Samples

22.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 3.0ms (77.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

simplify5.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	11	8
3	12	8
0	12	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

rewrite99.0ms (4.2%)

Memory

15.5MiB live, 126.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	26	8
2	121	8
3	618	8
4	3222	8
0	8917	8

Stop Event

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

Counts

2 → 348

Calls

Call 1

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

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

eval49.0ms (2.1%)

Memory: -10.9MiB live, 109.4MiB allocated
Compiler: Compiled 4 079 to 791 computations (80.6% saved)

prune9.0ms (0.4%)

Memory

-3.5MiB live, 35.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	350	6	356

Accuracy

100.0%

Counts

356 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes16.0ms (0.7%)

Memory

-29.8MiB live, 19.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	y
3.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes9.0ms (0.4%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify29.0ms (1.2%)

Memory

-19.7MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness431.0ms (18.4%)

Memory

6.4MiB live, 198.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
0	29	42
1	87	42
2	397	42
3	1876	42
4	7316	42
0	8512	42
0	5	8
0	7	8
1	18	8
2	80	8
3	389	8
4	2306	8
0	9003	8

Stop Event

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

preprocess252.0ms (10.7%)

Memory

28.5MiB live, 110.8MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 110 to 100 computations (9.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.5%)

sample518.0ms (22.1%)

explain46.0ms (2%)

preprocess62.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize17.0ms (0.7%)

series5.0ms (0.2%)

simplify4.0ms (0.2%)

rewrite111.0ms (4.7%)

eval70.0ms (3%)

prune13.0ms (0.6%)

simplify59.0ms (2.5%)

localize63.0ms (2.7%)

series6.0ms (0.3%)

simplify26.0ms (1.1%)

rewrite179.0ms (7.6%)

eval170.0ms (7.2%)

prune42.0ms (1.8%)

simplify6.0ms (0.2%)

localize26.0ms (1.1%)

series3.0ms (0.1%)

simplify5.0ms (0.2%)

rewrite99.0ms (4.2%)

eval49.0ms (2.1%)

prune9.0ms (0.4%)

regimes16.0ms (0.7%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

simplify29.0ms (1.2%)

soundness431.0ms (18.4%)

preprocess252.0ms (10.7%)

end0.0ms (0%)

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