Metrics for Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample743.0ms (8.4%)

Memory

19.4MiB live, 643.4MiB allocated

Samples

576.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 116.0ms (93.4% of total)

ival-true: 5.0ms (4% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

explain92.0ms (1%)

Memory

-2.3MiB live, 72.9MiB 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

71.0ms

512×

valid

Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions

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

ival-mult: 7.0ms (98.2% of total)

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

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

preprocess32.0ms (0.4%)

Memory

-10.3MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`distribute-lft-neg-in`
22×	`associate-r`
16×	`cancel-sign-sub-inv`
16×	`unsub-neg`
14×	`neg-sub0`

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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

4.5MiB live, 4.5MiB 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)

Rules

6×	`lower-*.f32`
4×	`lift-*.f64`
2×	`lower-*.f64`
2×	`lower-pow.f64`
2×	`cube-unmult`

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

localize11.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(.f64 (.f64 x x) x)

Samples

7.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (87% of total)

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

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

series3.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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))

simplify3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-*.f64`
6×	`lower-*.f32`
4×	`lower-pow.f64`
4×	`lower-pow.f32`
2×	`cube-mult`

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))

rewrite134.0ms (1.5%)

Memory

-21.1MiB live, 128.5MiB allocated

Rules

2 618×	`lower-*.f64`
2 618×	`lower-*.f32`
1 200×	`unpow-prod-down`
1 030×	`log-prod`
922×	`associate-r`

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
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)

eval2.0ms (0%)

Memory: 5.3MiB live, 5.3MiB allocated
Compiler: Compiled 128 to 9 computations (93% saved)

prune3.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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)))
▶	6.3%	x

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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)))

Rules

6×	`lower-*.f32`
4×	`lower-*.f64`
2×	`cube-mult`
2×	`lift-pow.f64`
2×	`unpow3`

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

localize55.0ms (0.6%)

Memory

-5.0MiB live, 45.3MiB 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

50.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (45.1% of total)

ival-pow: 3.0ms (45.1% 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

8.9MiB live, 8.9MiB 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>) () ())

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))
1.0ms	x	@	0	((* (* x x) x) (pow x 3) (* x x))

simplify6.0ms (0.1%)

Memory

-28.9MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-*.f64`
6×	`lower-*.f32`
4×	`lower-pow.f64`
4×	`lower-pow.f32`
2×	`cube-mult`

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)

rewrite56.0ms (0.6%)

Memory

9.8MiB live, 83.9MiB allocated

Rules

540×	`lower-*.f32`
538×	`lower-*.f64`
414×	`lower-fma.f64`
414×	`lower-fma.f32`
254×	`lower-pow.f32`

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	257	13
0	1180	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
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 21/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) (log.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))

eval9.0ms (0.1%)

Memory: 23.2MiB live, 23.2MiB allocated
Compiler: Compiled 585 to 157 computations (73.2% saved)

prune25.0ms (0.3%)

Memory

-65.3MiB live, 12.1MiB 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)))
✓	6.3%	x

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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

6.4MiB live, 6.4MiB 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

6.7MiB live, 6.7MiB 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

6.2MiB live, 6.2MiB 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
6.3%	1	`x`
6.3%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify38.0ms (0.4%)

Memory

-0.3MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`-commutative-binary64-.f64`

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

soundness7.6s (85.7%)

Memory

-11.1MiB live, 104.4MiB allocated

Rules

2 618×	`lower-*.f64`
2 618×	`lower-*.f32`
1 200×	`unpow-prod-down`
1 030×	`log-prod`
922×	`associate-r`

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
0	5	72
1	8	72
2	10	72
3	12	72
0	12	72

Stop Event

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

preprocess31.0ms (0.4%)

Memory: 15.4MiB live, 88.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 52 to 34 computations (34.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample743.0ms (8.4%)

explain92.0ms (1%)

preprocess32.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize11.0ms (0.1%)

series3.0ms (0%)

simplify3.0ms (0%)

rewrite134.0ms (1.5%)

eval2.0ms (0%)

prune3.0ms (0%)

simplify3.0ms (0%)

localize55.0ms (0.6%)

series3.0ms (0%)

simplify6.0ms (0.1%)

rewrite56.0ms (0.6%)

eval9.0ms (0.1%)

prune25.0ms (0.3%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify38.0ms (0.4%)

soundness7.6s (85.7%)

preprocess31.0ms (0.4%)

end0.0ms (0%)

Profiling