Metrics for math.cube on real

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 5 computations (28.6% saved)

sample617.0ms (7%)

Memory

-4.8MiB live, 827.5MiB allocated

Samples

432.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-mult: 212.0ms (95.5% of total)

ival-true: 6.0ms (2.7% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain52.0ms (0.6%)

Memory

7.4MiB live, 122.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x x) x)`
-	-	`(*.f64 x x)`
-	-	`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

19.0ms

512×

valid

Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions

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

ival-mult: 9.0ms (95.7% of total)

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

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

preprocess20.0ms (0.2%)

Memory

-1.1MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	23	9
2	60	7
3	127	7
4	148	7
5	156	7
0	3	5
0	5	5
1	6	3
2	8	3
0	8	3

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)

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

Symmetry

(negabs x)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	6	7
2	8	7
0	8	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)
x

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

localize14.0ms (0.2%)

Memory

-4.7MiB live, 34.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(.f64 (.f64 x x) x)

Samples

10.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 5.0ms (100.6% of total)

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

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

series3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

3 calls:

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

simplify2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	8	72
2	10	72
3	12	72
0	12	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

rewrite117.0ms (1.3%)

Memory

-31.1MiB live, 94.7MiB allocated

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	6
1	10	6
2	24	6
3	52	6
4	166	6
5	571	2
6	4059	2
7	4117	2
8	4354	2
9	6881	2
0	8590	2

Stop Event

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

Counts

2 → 4

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 (.f64 x x) x)

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

eval2.0ms (0%)

Memory: 4.6MiB live, 4.6MiB allocated
Compiler: Compiled 128 to 9 computations (93% saved)

prune2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Accuracy

100.0%

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 (.f64 x x) x)
▶	53.5%	(*.f64 x x)
▶	100.0%	#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
▶	6.4%	x

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	8	17
1	10	17
0	10	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.2%)

Memory

-14.4MiB live, 23.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 31 to 12 computations (61.3% saved)

Precisions

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

ival-mult: 3.0ms (44.2% of total)

ival-pow: 3.0ms (44.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

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

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

Calls

3 calls:

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

simplify3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	108
1	8	108
2	10	108
3	12	108
0	12	108

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

rewrite47.0ms (0.5%)

Memory

12.2MiB live, 50.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	8	13
1	19	13
2	39	13
3	94	13
4	256	13
0	1176	13

Stop Event

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

Counts

3 → 55

Calls

Call 1

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

Outputs
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#<batchref>

eval9.0ms (0.1%)

Memory: 15.3MiB live, 15.3MiB allocated
Compiler: Compiled 585 to 157 computations (73.2% saved)

prune46.0ms (0.5%)

Memory

-25.2MiB live, 12.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	91	4	95

Accuracy

100.0%

Counts

95 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 (.f64 x x) x)
✓	53.5%	(*.f64 x x)
✓	100.0%	#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
✓	6.4%	x

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)
(.f64 (.f64 x x) x)

Outputs
(.f64 (.f64 x x) x)

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

2.0ms	x
1.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
6.4%	1	`x`
6.4%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify40.0ms (0.5%)

Memory

-5.7MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	9	18

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness7.8s (88%)

Memory

-20.9MiB live, 88.2MiB allocated

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	8	72
2	10	72
3	12	72
0	12	72
0	3	8
0	5	6
1	10	6
2	24	6
3	52	6
4	166	6
5	571	2
6	4059	2
7	4117	2
8	4354	2
9	6881	2
0	8590	2

Stop Event

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

preprocess49.0ms (0.6%)

Memory: 21.2MiB live, 106.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 58 to 40 computations (31% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample617.0ms (7%)

explain52.0ms (0.6%)

preprocess20.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize14.0ms (0.2%)

series3.0ms (0%)

simplify2.0ms (0%)

rewrite117.0ms (1.3%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.2%)

series3.0ms (0%)

simplify3.0ms (0%)

rewrite47.0ms (0.5%)

eval9.0ms (0.1%)

prune46.0ms (0.5%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify40.0ms (0.5%)

soundness7.8s (88%)

preprocess49.0ms (0.6%)

end0.0ms (0%)

Profiling