Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample678.0ms (21.8%)

Memory

17.5MiB live, 486.4MiB allocated

Samples

425.0ms

8 256×

valid

Precisions

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

ival-mult: 272.0ms (94.9% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain61.0ms (1.9%)

Memory

2.6MiB live, 78.5MiB allocated

FPErrors

Click to see full error table

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

38.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 26.0ms (96.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.5%)

Memory

-15.2MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	23	10
2	63	10
3	164	10
4	216	10
5	228	10
0	4	5
0	6	5
1	9	5
2	12	5
0	12	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

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 3 binary64)) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
0	12	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.4%)

Memory

23.1MiB live, 23.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.17578125	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-mult: 3.0ms (83.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-37.7MiB live, 5.4MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (* x 3) x) (* x 3))
1.0ms	x	@	0	((* (* x 3) x) (* x 3))
1.0ms	x	@	-inf	((* (* x 3) x) (* x 3))

simplify3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	9	96
2	11	96
0	11	96

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

rewrite99.0ms (3.2%)

Memory

14.8MiB live, 91.7MiB allocated

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	6
1	9	6
2	12	6
3	14	6
4	21	6
5	37	6
6	93	6
7	279	2
8	1664	2
9	1689	2
10	1812	2
11	3032	2
0	8366	2

Stop Event

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

Counts

2 → 2

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>

eval2.0ms (0.1%)

Memory: 5.5MiB live, 5.5MiB allocated
Compiler: Compiled 148 to 9 computations (93.9% saved)

prune3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Accuracy

99.9%

Counts

27 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)
▶	6.9%	(*.f64 #s(literal 3 binary64) x)
▶	99.8%	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	4.2%	#s(literal 3 binary64)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	11	27
1	15	27
0	15	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.7%)

Memory

3.2MiB live, 41.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0.10546875	(.f64 (.f64 x x) #s(literal 3 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 45 to 15 computations (66.7% saved)

Precisions

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

ival-mult: 7.0ms (89.2% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (1.1%)

Memory

-32.8MiB live, 8.9MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) (patch #s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	((* (* x 3) x) (* (* x x) 3) (* x x) (* 3 x))
1.0ms	x	@	-inf	((* (* x 3) x) (* (* x x) 3) (* x x) (* 3 x))
0.0ms	x	@	0	((* (* x 3) x) (* (* x x) 3) (* x x) (* 3 x))

simplify3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	192
1	9	192
2	11	192
0	11	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

rewrite71.0ms (2.3%)

Memory

25.9MiB live, 102.7MiB allocated

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	11	24
1	17	24
2	24	24
3	40	24
4	96	24
5	287	6
6	1698	6
7	1723	6
8	1846	6
9	3065	6
0	8421	6

Stop Event

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

Counts

4 → 5

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval7.0ms (0.2%)

Memory: -26.5MiB live, 11.3MiB allocated
Compiler: Compiled 301 to 17 computations (94.4% saved)

prune7.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	53	4	57

Accuracy

99.9%

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	6.9%	(*.f64 #s(literal 3 binary64) x)
✓	99.8%	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
✓	4.2%	#s(literal 3 binary64)

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes14.0ms (0.4%)

Memory

-21.0MiB live, 19.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
5.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
6.9%	1	`x`
6.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)

Outputs
#s(literal 3 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify26.0ms (0.8%)

Memory

-11.1MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	10	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.0s (63.8%)

Memory

-12.1MiB live, 115.0MiB allocated

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	9	96
2	11	96
0	11	96
0	4	8
0	6	6
1	9	6
2	12	6
3	14	6
4	21	6
5	37	6
6	93	6
7	279	2
8	1664	2
9	1689	2
10	1812	2
11	3032	2
0	8366	2

Stop Event

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess48.0ms (1.6%)

Memory: 29.9MiB live, 105.7MiB allocated
Remove: (abs x)
Compiler: Compiled 54 to 40 computations (25.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample678.0ms (21.8%)

explain61.0ms (1.9%)

preprocess17.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize12.0ms (0.4%)

series7.0ms (0.2%)

simplify3.0ms (0.1%)

rewrite99.0ms (3.2%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

simplify3.0ms (0.1%)

localize21.0ms (0.7%)

series35.0ms (1.1%)

simplify3.0ms (0.1%)

rewrite71.0ms (2.3%)

eval7.0ms (0.2%)

prune7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes14.0ms (0.4%)

regimes3.0ms (0.1%)

simplify26.0ms (0.8%)

soundness2.0s (63.8%)

preprocess48.0ms (1.6%)

end0.0ms (0%)

Profiling