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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample499.0ms (12.6%)

Memory

32.2MiB live, 933.1MiB allocated

Samples

298.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 113.0ms (88.1% of total)

ival-true: 7.0ms (5.5% of total)

exact: 5.0ms (3.9% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

explain49.0ms (1.2%)

Memory

-19.2MiB live, 97.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
0	-	-	`#s(literal 27 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 x #s(literal 27 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 x #s(literal 27 binary64)) y)`	*no**	1	0

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

20.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-mult: 7.0ms (85.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess27.0ms (0.7%)

Memory

-3.5MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`distribute-lft-neg-in`
74×	`associate-r`
54×	`distribute-rgt-neg-in`
48×	`distribute-lft-in`
46×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	44	25
2	111	25
3	288	25
4	369	25
5	389	25
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 #s(literal 27 binary64) (.f64 x y))

Symmetry

(negabs y)

(negabs x)

(sort x y)

Samples

0.0ms

2×

valid

Compiler

Compiled 27 to 20 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify94.0ms (2.4%)

Memory

16.5MiB live, 213.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 27 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 27 binary64)) y)

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))
x
#s(literal 27 binary64)
y

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 #s(literal 27 binary64) (.f64 x y))
(*.f64 x #s(literal 27 binary64))
x
#s(literal 27 binary64)
y

Samples

32.0ms

1 305×

valid

Compiler

Compiled 5 561 to 5 536 computations (0.4% saved)

Precisions

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

ival-mult: 5.0ms (65.7% of total)

ival-true: 1.0ms (13.1% of total)

exact: 1.0ms (13.1% of total)

ival-assert: 1.0ms (13.1% of total)

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

localize17.0ms (0.4%)

Memory

-8.4MiB live, 30.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x #s(literal 27 binary64))
accuracy	0.19140625	(.f64 (.f64 x #s(literal 27 binary64)) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 3.0ms (82.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (*.f64 x #s(literal 27 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 27 binary64)) (patch (*.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 27 binary64)) y) (patch (.f64 (.f64 x #s(literal 27 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27 binary64)) (patch (.f64 x #s(literal 27 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* x 27) y)
1.0ms	x	@	0	(* (* x 27) y)
1.0ms	x	@	inf	(* (* x 27) y)
1.0ms	y	@	inf	(* (* x 27) y)
0.0ms	x	@	-inf	(* x 27)

simplify862.0ms (21.7%)

Memory

20.5MiB live, 1 834.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-*.f64`
24×	`lower-*.f32`
8×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	156
1	10	156
2	16	156
3	17	156
0	17	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)

Outputs
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 (* x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)

Samples

321.0ms

9 220×

valid

Compiler

Compiled 58 412 to 58 400 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 108.0ms (84.6% of total)

ival-true: 9.0ms (7.1% of total)

exact: 7.0ms (5.5% of total)

ival-assert: 4.0ms (3.1% of total)

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

rewrite20.0ms (0.5%)

Memory

-11.4MiB live, 27.2MiB allocated

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

2 → 8

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))

Outputs
(.f64 x (.f64 #s(literal 27 binary64) y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 y (.f64 x #s(literal 27 binary64)))
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 (.f64 x y) #s(literal 27 binary64))
(*.f64 x #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) x)

eval4.0ms (0.1%)

Memory: 9.4MiB live, 9.4MiB allocated
Compiler: Compiled 258 to 14 computations (94.6% saved)

prune4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Accuracy

100.0%

Counts

45 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)
▶	99.3%	(.f64 (.f64 #s(literal 27 binary64) y) x)

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify180.0ms (4.5%)

Memory

18.0MiB live, 412.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(literal 27 binary64))
cost-diff	0	(*.f64 #s(literal 27 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 27 binary64) y) x)

Rules

24×	`lower-*.f32`
16×	`lower-*.f64`
10×	`*-commutative`
8×	`lift-*.f64`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	17	22
2	23	22
3	23	22
0	23	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
x
(.f64 (.f64 x y) #s(literal 27 binary64))
(*.f64 x y)
x
y
#s(literal 27 binary64)

Outputs
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 y (.f64 #s(literal 27 binary64) x))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
x
(.f64 (.f64 x y) #s(literal 27 binary64))
(.f64 y (.f64 #s(literal 27 binary64) x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 27 binary64)

Samples

67.0ms

2 596×

valid

Compiler

Compiled 11 028 to 10 988 computations (0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (71.9% of total)

ival-true: 2.0ms (12% of total)

exact: 1.0ms (6% of total)

ival-assert: 1.0ms (6% of total)

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

localize28.0ms (0.7%)

Memory

-35.5MiB live, 45.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.23286996032857504	(.f64 (.f64 x y) #s(literal 27 binary64))
accuracy	0	(*.f64 #s(literal 27 binary64) y)
accuracy	0.4290951118851343	(.f64 (.f64 #s(literal 27 binary64) y) x)

Samples

18.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 11.0ms (99% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 27 binary64) y) x) (patch (.f64 (.f64 #s(literal 27 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor 0 y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor 0 y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor 0 y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor 0 y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor -inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor -inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor -inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 y) (taylor -inf y) (#s(alt (.f64 #s(literal 27 binary64) y) (patch (.f64 #s(literal 27 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 27 binary64)) (patch (.f64 (.f64 x y) #s(literal 27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x y)
0.0ms	y	@	inf	(* 27 y)
0.0ms	y	@	-inf	(* x y)
0.0ms	y	@	-inf	(* 27 y)
0.0ms	y	@	0	(* 27 y)

simplify1.9s (48%)

Memory

87.6MiB live, 4 066.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-*.f64`
24×	`lower-*.f32`
10×	`*-commutative`
4×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	348
1	11	348
2	16	348
0	16	348

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

Inputs
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

Samples

754.0ms

21 513×

valid

Compiler

Compiled 132 189 to 132 166 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-mult: 248.0ms (86.3% of total)

ival-true: 20.0ms (7% of total)

exact: 11.0ms (3.8% of total)

ival-assert: 8.0ms (2.8% of total)

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

rewrite13.0ms (0.3%)

Memory

-23.7MiB live, 14.8MiB allocated

Rules

24×	`lower-*.f32`
16×	`lower-*.f64`
10×	`*-commutative`
8×	`lift-*.f64`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	11	16
1	17	16
2	23	16
3	23	16
0	23	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

4 → 16

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) y)
(.f64 (.f64 x y) #s(literal 27 binary64))
(*.f64 x y)

Outputs
(.f64 #s(literal 27 binary64) (.f64 y x))
(.f64 y (.f64 #s(literal 27 binary64) x))
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 x (.f64 #s(literal 27 binary64) y))
(.f64 (.f64 y x) #s(literal 27 binary64))
(.f64 (.f64 #s(literal 27 binary64) x) y)
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
(.f64 #s(literal 27 binary64) (.f64 y x))
(.f64 y (.f64 #s(literal 27 binary64) x))
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 x (.f64 #s(literal 27 binary64) y))
(.f64 (.f64 y x) #s(literal 27 binary64))
(.f64 (.f64 #s(literal 27 binary64) x) y)
(*.f64 y x)
(*.f64 x y)

eval8.0ms (0.2%)

Memory: 20.9MiB live, 20.9MiB allocated
Compiler: Compiled 586 to 17 computations (97.1% saved)

prune8.0ms (0.2%)

Memory

-29.0MiB live, 15.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	100	3	103

Accuracy

100.0%

Counts

103 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)
✓	99.3%	(.f64 (.f64 #s(literal 27 binary64) y) x)

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes8.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 (.f64 x y) #s(literal 27 binary64))

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)

Calls

4 calls:

2.0ms	(*.f64 x #s(literal 27 binary64))
2.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
99.7%	1	`(*.f64 x #s(literal 27 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 27 binary64) y) x)

Outputs
(.f64 (.f64 #s(literal 27 binary64) y) x)

Calls

4 calls:

1.0ms	(*.f64 x #s(literal 27 binary64))
1.0ms	y
1.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)
1.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
99.3%	1	`(*.f64 x #s(literal 27 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify56.0ms (1.4%)

Memory

3.7MiB live, 120.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 (.f64 #s(literal 27 binary64) y) x)

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 x (.f64 #s(literal 27 binary64) y))

Samples

20.0ms

516×

valid

Compiler

Compiled 3 636 to 3 620 computations (0.4% saved)

Precisions

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

ival-mult: 7.0ms (86.6% of total)

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

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

exact: 0.0ms (0% of total)

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

soundness11.0ms (0.3%)

Memory

-23.5MiB live, 17.2MiB allocated

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8

Stop Event

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

preprocess168.0ms (4.2%)

Memory: -0.4MiB live, 315.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 248 to 174 computations (29.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample499.0ms (12.6%)

explain49.0ms (1.2%)

preprocess27.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify94.0ms (2.4%)

localize17.0ms (0.4%)

series5.0ms (0.1%)

simplify862.0ms (21.7%)

rewrite20.0ms (0.5%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

simplify180.0ms (4.5%)

localize28.0ms (0.7%)

series4.0ms (0.1%)

simplify1.9s (48%)

rewrite13.0ms (0.3%)

eval8.0ms (0.2%)

prune8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

simplify56.0ms (1.4%)

soundness11.0ms (0.3%)

preprocess168.0ms (4.2%)

end0.0ms (0%)

Profiling