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

0.7MiB live, 0.7MiB 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)

sample479.0ms (55.3%)

Memory

11.9MiB live, 937.5MiB allocated

Samples

294.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 117.0ms (90.1% of total)

ival-true: 6.0ms (4.6% of total)

exact: 4.0ms (3.1% of total)

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

Bogosity

explain42.0ms (4.8%)

Memory

11.1MiB live, 89.4MiB allocated

FPErrors

Click to see full error table

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

18.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 7.0ms (94.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (2.6%)

Memory

-2.6MiB live, 36.1MiB 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 y (.f64 #s(literal 27 binary64) x))

Symmetry

(negabs y)

(negabs x)

(sort x y)

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 (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.4%)

Memory

6.0MiB live, 6.0MiB 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 y (.f64 #s(literal 27 binary64) x))
(*.f64 x #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) x)
x
#s(literal 27 binary64)
y

localize15.0ms (1.8%)

Memory

-15.6MiB live, 26.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x #s(literal 27 binary64))
accuracy	0.21875	(.f64 (.f64 x #s(literal 27 binary64)) y)

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 4.0ms (84.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.5%)

Memory

9.1MiB live, 9.1MiB 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 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 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) (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 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) (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 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) (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

6 calls:

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

simplify4.0ms (0.4%)

Memory

8.2MiB live, 8.2MiB 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)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)

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

rewrite16.0ms (1.8%)

Memory

-4.6MiB live, 34.1MiB 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 (.f64 y x) #s(literal 27 binary64))
(.f64 (.f64 y #s(literal 27 binary64)) x)
(.f64 y (.f64 #s(literal 27 binary64) x))
(.f64 (.f64 #s(literal 27 binary64) x) y)
(.f64 #s(literal 27 binary64) (.f64 y x))
(.f64 x (.f64 y #s(literal 27 binary64)))
(*.f64 #s(literal 27 binary64) x)
(*.f64 x #s(literal 27 binary64))

eval4.0ms (0.4%)

Memory: 11.1MiB live, 11.1MiB allocated
Compiler: Compiled 256 to 17 computations (93.4% saved)

prune6.0ms (0.7%)

Memory

-23.5MiB live, 15.3MiB 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 y x) #s(literal 27 binary64))
▶	99.7%	(.f64 (.f64 y #s(literal 27 binary64)) x)
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)

Compiler

Compiled 15 to 15 computations (0% saved)

simplify4.0ms (0.4%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	19	22
2	21	22
0	21	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (2.2%)

Memory

3.0MiB live, 41.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.2861823521186022	(.f64 (.f64 y x) #s(literal 27 binary64))
accuracy	0	(*.f64 y #s(literal 27 binary64))
accuracy	0.1953125	(.f64 (.f64 y #s(literal 27 binary64)) x)

Samples

14.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 7.0ms (98.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.6%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

6 calls:

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

simplify7.0ms (0.8%)

Memory

-30.6MiB live, 9.7MiB 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 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* x y)
(* x y)
(* x y)
(* 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)
(* 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)
(* 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)

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

rewrite8.0ms (0.9%)

Memory

15.7MiB live, 15.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	11	16
1	19	16
2	21	16
0	21	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

4 → 16

Calls

Call 1

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

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

eval9.0ms (1.1%)

Memory: -18.5MiB live, 20.2MiB allocated
Compiler: Compiled 584 to 22 computations (96.2% saved)

prune10.0ms (1.2%)

Memory

26.5MiB live, 26.5MiB 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 y x) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 y #s(literal 27 binary64)) x)
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)

Compiler

Compiled 30 to 24 computations (20% saved)

regimes8.0ms (1%)

Memory

-18.6MiB live, 20.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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 10 to 13 computations (-30% saved)

regimes5.0ms (0.6%)

Memory

14.4MiB live, 14.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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 10 to 13 computations (-30% saved)

simplify22.0ms (2.5%)

Memory

14.0MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`

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

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

soundness13.0ms (1.5%)

Memory

-34.0MiB live, 10.7MiB 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 20 to 14 computations (30% saved)

preprocess159.0ms (18.3%)

Memory: 2.2MiB live, 316.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 180 to 174 computations (3.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample479.0ms (55.3%)

explain42.0ms (4.8%)

preprocess22.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify4.0ms (0.4%)

localize15.0ms (1.8%)

series5.0ms (0.5%)

simplify4.0ms (0.4%)

rewrite16.0ms (1.8%)

eval4.0ms (0.4%)

prune6.0ms (0.7%)

simplify4.0ms (0.4%)

localize19.0ms (2.2%)

series5.0ms (0.6%)

simplify7.0ms (0.8%)

rewrite8.0ms (0.9%)

eval9.0ms (1.1%)

prune10.0ms (1.2%)

regimes8.0ms (1%)

regimes5.0ms (0.6%)

simplify22.0ms (2.5%)

soundness13.0ms (1.5%)

preprocess159.0ms (18.3%)

end0.0ms (0%)

Profiling