Metrics for Rosa's Benchmark

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 13 to 10 computations (23.1% saved)

sample1.1s (61.3%)

Memory

13.7MiB live, 1 564.0MiB allocated

Samples

860.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 660.0ms

const: 361.0ms (54.7% of total)

ival-mult: 233.0ms (35.3% of total)

ival-sub: 58.0ms (8.8% of total)

ival-true: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess77.0ms (4.3%)

Memory

-17.6MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Rules

440×	`lower-fma.f64`
440×	`lower-fma.f32`
296×	`lower-*.f32`
288×	`lower-*.f64`
102×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	36	21
2	140	18
3	408	18
4	603	18
5	660	18
6	664	18
0	8	11
0	13	11
1	24	9
2	55	9
3	120	9
4	165	9
5	215	9
6	286	9
7	357	9
8	555	9
9	582	9
0	582	8

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Outputs

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)))

(*.f64 x (fma.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 238732414637843/250000000000000 binary64)))

Symmetry

(negabs x)

explain115.0ms (6.5%)

Memory

22.7MiB live, 260.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))`
-	-	`(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)`
-	-	`(.f64 (.f64 x x) x)`
-	-	`#s(literal 6450306886639899/50000000000000000 binary64)`
-	-	`#s(literal 238732414637843/250000000000000 binary64)`
-	-	`(*.f64 x x)`
-	-	`(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x 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

48.0ms

512×

valid

Compiler

Compiled 92 to 36 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

const: 20.0ms (57.4% of total)

ival-mult: 12.0ms (34.5% of total)

ival-sub: 2.0ms (5.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify26.0ms (1.5%)

Memory

1.0MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) x)
✓	cost-diff	0	(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))
✓	cost-diff	0	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	cost-diff	448	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Rules

440×	`lower-fma.f64`
440×	`lower-fma.f32`
296×	`lower-*.f32`
288×	`lower-*.f64`
102×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	13	32
1	24	26
2	55	26
3	120	26
4	165	26
5	215	26
6	286	26
7	357	26
8	555	26
9	582	26
0	582	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
#s(literal 238732414637843/250000000000000 binary64)
x
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))
#s(literal 6450306886639899/50000000000000000 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
(.f64 x (fma.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 238732414637843/250000000000000 binary64)))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
#s(literal 238732414637843/250000000000000 binary64)
x
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
#s(literal 6450306886639899/50000000000000000 binary64)
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(*.f64 x x)

localize33.0ms (1.9%)

Memory

-20.0MiB live, 58.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) x)
✓	accuracy	99.9%	(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)

Samples

22.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

const: 7.0ms (49.8% of total)

ival-mult: 5.0ms (35.6% of total)

ival-sub: 1.0ms (7.1% of total)

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

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

series4.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)>
#<alt (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))>
#<alt (.f64 (.f64 x x) x)>
#<alt (*.f64 x x)>

Outputs
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* 6450306886639899/50000000000000000 (* (* x x) x))
0.0ms	x	@	0	(* 6450306886639899/50000000000000000 (* (* x x) x))
0.0ms	x	@	-inf	(* 238732414637843/250000000000000 x)
0.0ms	x	@	inf	(* 238732414637843/250000000000000 x)
0.0ms	x	@	inf	(* 6450306886639899/50000000000000000 (* (* x x) x))

rewrite159.0ms (9%)

Memory

-0.1MiB live, 173.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 640×	`lower-*.f64`
2 640×	`lower-*.f32`
1 440×	`associate-r`
1 136×	`unpow-prod-down`
1 092×	`associate-l`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	11	14
1	20	14
2	42	14
3	79	14
4	220	14
5	739	4
6	4724	4
7	4782	4
8	5021	4
9	7540	4
0	8318	4

Stop Event

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

Counts

4 → 6

Calls

Call 1

Inputs
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
#s(literal 238732414637843/250000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x

simplify6.0ms (0.3%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`lower-*.f64`
34×	`lower-*.f32`
12×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	168
1	14	168
2	24	168
3	31	168
0	31	168

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (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 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 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(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 2)
(*.f64 x x)
(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 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

simplify13.0ms (0.7%)

Memory

-25.5MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	6	6
0	6	6

Stop Event

1×	saturated
1×	saturated

Counts

6 → 0

Calls

Call 1

Inputs
#s(literal 238732414637843/250000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x

Outputs
#s(literal 238732414637843/250000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 1 binary64)
x
#s(literal 1 binary64)
x

eval8.0ms (0.5%)

Memory: 21.2MiB live, 21.3MiB allocated
Compiler: Compiled 1 057 to 15 computations (98.6% saved)

prune1.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	2	97

Accuracy

99.9%

Counts

97 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Status

Accuracy

Program

▶

99.8%

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))

✓

99.8%

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify24.0ms (1.3%)

Memory

-11.2MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	cost-diff	448	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))

Rules

440×	`lower-fma.f64`
440×	`lower-fma.f32`
296×	`lower-*.f32`
288×	`lower-*.f64`
104×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	13	32
1	25	30
2	56	28
3	120	28
4	177	28
5	217	28
6	281	28
7	376	28
8	535	28
9	545	28
0	545	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
#s(literal 238732414637843/250000000000000 binary64)
x
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
#s(literal 6450306886639899/50000000000000000 binary64)

Outputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(.f64 x (fma.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 238732414637843/250000000000000 binary64)))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
#s(literal 238732414637843/250000000000000 binary64)
x
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
#s(literal 6450306886639899/50000000000000000 binary64)

localize34.0ms (1.9%)

Memory

-14.4MiB live, 61.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

const: 9.0ms (56.9% of total)

ival-mult: 6.0ms (37.9% of total)

ival-sub: 1.0ms (6.3% of total)

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

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

series2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))>
#<alt (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))>
#<alt (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)>
#<alt (.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))>

Outputs
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x (* x 6450306886639899/50000000000000000))
0.0ms	x	@	0	(* x (* x 6450306886639899/50000000000000000))
0.0ms	x	@	0	(* x 6450306886639899/50000000000000000)
0.0ms	x	@	-inf	(* x 6450306886639899/50000000000000000)
0.0ms	x	@	inf	(* x 6450306886639899/50000000000000000)

rewrite109.0ms (6.2%)

Memory

1.9MiB live, 201.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 828×	`lower-pow.f64`
1 828×	`lower-pow.f32`
1 640×	`lower-*.f64`
1 640×	`lower-*.f32`
1 212×	`pow-unpow`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	11	18
1	18	18
2	26	18
3	37	18
4	59	18
5	163	18
6	573	4
7	3278	4
8	3319	4
9	3482	4
10	5196	4
0	8466	4

Stop Event

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

Counts

4 → 4

Calls

Call 1

Inputs
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))

Outputs
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 238732414637843/250000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)

simplify6.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`lower-*.f64`
34×	`lower-*.f32`
8×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	192
1	18	192
2	26	192
3	28	192
0	28	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))

Outputs
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 6450306886639899/50000000000000000 x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))

simplify3.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	4
0	2	4

Stop Event

1×	saturated
1×	saturated

Counts

4 → 0

Calls

Call 1

Inputs
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 238732414637843/250000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)

Outputs
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)
#s(literal 238732414637843/250000000000000 binary64)
#s(literal 6450306886639899/50000000000000000 binary64)

eval10.0ms (0.6%)

Memory: -9.0MiB live, 28.4MiB allocated
Compiler: Compiled 1 057 to 19 computations (98.2% saved)

prune2.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Accuracy

99.9%

Counts

98 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.8%

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))

✓

99.8%

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)))

Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes5.0ms (0.3%)

Memory

-29.4MiB live, 8.6MiB allocated

Accuracy

Total -0.0b remaining (-31%)

Threshold costs -0b (-31%)

Counts

2 → 1

Calls

Call 1

Inputs

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)))

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))

Outputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Calls

2 calls:

3.0ms	x
1.0ms	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify6.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	28	11
3	40	11
4	50	11
5	55	11
6	57	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Outputs

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)))

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x (*.f64 x x))))

soundness0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 12 to 8 computations (33.3% saved)

preprocess39.0ms (2.2%)

Memory: -40.2MiB live, 63.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 96 to 64 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	27
1	36	21
2	140	18
3	408	18
4	603	18
5	660	18
6	664	18
0	8	11
0	13	11
1	24	9
2	55	9
3	120	9
4	165	9
5	215	9
6	286	9
7	357	9
8	555	9
9	582	9
0	582	8

Iter	Nodes	Cost
0	8	32
0	13	32
1	24	26
2	55	26
3	120	26
4	165	26
5	215	26
6	286	26
7	357	26
8	555	26
9	582	26
0	582	25

Iter	Nodes	Cost
0	8	32
0	13	32
1	25	30
2	56	28
3	120	28
4	177	28
5	217	28
6	281	28
7	376	28
8	535	28
9	545	28
0	545	27

Iter	Nodes	Cost
0	10	27
1	36	21
2	140	18
3	408	18
4	603	18
5	660	18
6	664	18
0	8	11
0	13	11
1	24	9
2	55	9
3	120	9
4	165	9
5	215	9
6	286	9
7	357	9
8	555	9
9	582	9
0	582	8

Iter	Nodes	Cost
0	8	32
0	13	32
1	24	26
2	55	26
3	120	26
4	165	26
5	215	26
6	286	26
7	357	26
8	555	26
9	582	26
0	582	25

Iter	Nodes	Cost
0	8	32
0	13	32
1	25	30
2	56	28
3	120	28
4	177	28
5	217	28
6	281	28
7	376	28
8	535	28
9	545	28
0	545	27

analyze0.0ms (0%)

sample1.1s (61.3%)

preprocess77.0ms (4.3%)

explain115.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (1.5%)

localize33.0ms (1.9%)

series4.0ms (0.2%)

rewrite159.0ms (9%)

simplify6.0ms (0.3%)

simplify13.0ms (0.7%)

eval8.0ms (0.5%)

prune1.0ms (0.1%)

simplify24.0ms (1.3%)

localize34.0ms (1.9%)

series2.0ms (0.1%)

rewrite109.0ms (6.2%)

simplify6.0ms (0.3%)

simplify3.0ms (0.2%)

eval10.0ms (0.6%)

prune2.0ms (0.1%)

regimes5.0ms (0.3%)

simplify6.0ms (0.4%)

soundness0.0ms (0%)

preprocess39.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	27
1	36	21
2	140	18
3	408	18
4	603	18
5	660	18
6	664	18
0	8	11
0	13	11
1	24	9
2	55	9
3	120	9
4	165	9
5	215	9
6	286	9
7	357	9
8	555	9
9	582	9
0	582	8

Iter	Nodes	Cost
0	8	32
0	13	32
1	24	26
2	55	26
3	120	26
4	165	26
5	215	26
6	286	26
7	357	26
8	555	26
9	582	26
0	582	25

Iter	Nodes	Cost
0	8	32
0	13	32
1	25	30
2	56	28
3	120	28
4	177	28
5	217	28
6	281	28
7	376	28
8	535	28
9	545	28
0	545	27