Metrics for Main:i from

analyze0.0ms (0%)

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 11 to 6 computations (45.5% saved)

Precisions

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample585.0ms (79.8%)

Results

374.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-add: 163.0ms (94.8% of total)

const: 6.0ms (3.5% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess25.0ms (3.4%)

Algorithm

2×	egg-herbie

Rules

84×	`sub-neg`
54×	`cancel-sign-sub-inv`
46×	`associate-+l-`
46×	`unsub-neg`
42×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	38	16
2	119	10
3	331	9
4	450	9
5	464	9
6	466	9
0	5	9
1	12	5
2	22	3
3	33	3
4	35	3
0	35	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (+ (+ x x) x) x) x)

Outputs
(+ (+ (+ (+ x x) x) x) x)
(*.f64 x #s(literal 5 binary64))

Call 2

Inputs
(+ (+ (+ (+ x x) x) x) x)
(+ (+ (+ (+ (neg x) (neg x)) (neg x)) (neg x)) (neg x))
(neg (+ (+ (+ (+ (neg x) (neg x)) (neg x)) (neg x)) (neg x)))

Outputs
(+ (+ (+ (+ x x) x) x) x)
(* x 5)
(+ (+ (+ (+ (neg x) (neg x)) (neg x)) (neg x)) (neg x))
(* x -5)
(neg (+ (+ (+ (+ (neg x) (neg x)) (neg x)) (neg x)) (neg x)))
(* x 5)

Symmetry

(negabs x)

explain55.0ms (7.5%)

FPErrors

Click to see full error table

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

Results

26.0ms

512×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 10.0ms (96% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 4 to 3 computations (25% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x #s(literal 5 binary64))

Compiler

Compiled 4 to 3 computations (25% saved)

localize22.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 5 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 5 binary64))

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	4	5
0	4	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x 5)
x
5

Outputs
(* x 5)
(*.f64 x #s(literal 5 binary64))
x
5
#s(literal 5 binary64)

Results

10.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

ival-mult: 2.0ms (65.9% of total)

const: 1.0ms (33% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0.3%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (* x 5)>

Outputs
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 5)
0.0ms	x	@	inf	(* x 5)
0.0ms	x	@	0	(* x 5)

rewrite17.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 2

Calls

Call 1

Inputs
(* x 5)

Outputs
(*.f64 x #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) x)

simplify4.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)

Outputs
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)

eval1.0ms (0.2%)

Compiler: Compiled 43 to 29 computations (32.6% saved)

prune1.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	1	15

Accuracy

100.0%

Counts

15 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x #s(literal 5 binary64))

Compiler

Compiled 17 to 10 computations (41.2% saved)

regimes3.0ms (0.4%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 5 binary64))
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)

Outputs
(*.f64 x #s(literal 5 binary64))

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 6 computations (50% saved)

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 4 to 3 computations (25% saved)

preprocess17.0ms (2.3%)

Remove: (negabs x)
Compiler: Compiled 44 to 28 computations (36.4% saved)

Main:i from

analyze0.0ms (0%)

sample585.0ms (79.8%)

preprocess25.0ms (3.4%)

explain55.0ms (7.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize22.0ms (3%)

series2.0ms (0.3%)

rewrite17.0ms (2.3%)

simplify4.0ms (0.6%)

eval1.0ms (0.2%)

prune1.0ms (0.2%)

regimes3.0ms (0.4%)

soundness0.0ms (0%)

preprocess17.0ms (2.3%)

end0.0ms (0%)

Profiling