Details

analyze58.0ms (5.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample12.0ms (1.2%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify5.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune5.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 9.9b

Counts

2 → 1

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 3.0) x)
9.5b	(.f64 (.f64 (*.f64 x 3.0) x) y)

rewrite13.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 (*.f64 x 3.0) x) y)
5.0ms	(.f64 (.f64 x 3.0) x)

series13.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(.f64 (.f64 (*.f64 x 3.0) x) y)
4.0ms	(.f64 (.f64 x 3.0) x)

simplify48.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5209	307

prune69.0ms (7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	37	8	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	9	46

Merged error: 0.1b

Counts

46 → 9

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 x 3.0) (*.f64 x y))

rewrite8.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
1×	`-un-lft-identity_binary64` `add-log-exp_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `add-sqr-sqrt_binary64` `-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x 3.0) (*.f64 x y))

series5.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3.0) (*.f64 x y))

simplify52.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5305	193

prune44.0ms (4.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	25	9	34

Merged error: 0.0b

Counts

34 → 9

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 x (.f64 3.0 (*.f64 x y)))
0.3b	(.f64 3.0 (.f64 x y))

rewrite13.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x (.f64 3.0 (*.f64 x y)))
5.0ms	(.f64 3.0 (.f64 x y))

series10.0ms (1%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(.f64 x (.f64 3.0 (*.f64 x y)))
5.0ms	(.f64 3.0 (.f64 x y))

simplify39.0ms (4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5181	306

prune63.0ms (6.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	44	10	54

Merged error: 0.0b

Counts

54 → 10

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 x (.f64 (*.f64 3.0 x) y))
0.2b	(.f64 (.f64 3.0 x) y)

rewrite13.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x (.f64 (*.f64 3.0 x) y))
5.0ms	(.f64 (.f64 3.0 x) y)

series10.0ms (1%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(.f64 x (.f64 (*.f64 3.0 x) y))
4.0ms	(.f64 (.f64 3.0 x) y)

simplify49.0ms (5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5299	308

prune44.0ms (4.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	5	6
Picked	0	1	1
Done	1	2	3
Total	46	9	55

Merged error: 0.0b

Counts

55 → 9

regimes99.0ms (10%)

Accuracy

Total 0.2b remaining (90.2%)

Threshold costs 0.2b (90.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample295.0ms (29.9%)

Algorithm

1×

intervals

Results

176.0ms	8000×	body	80	valid
2.0ms	101×	body	80	invalid

Details

analyze58.0ms (5.9%)

sample12.0ms (1.2%)

simplify5.0ms (0.5%)

prune5.0ms (0.5%)

localize4.0ms (0.4%)

rewrite13.0ms (1.4%)

series13.0ms (1.3%)

simplify48.0ms (4.9%)

prune69.0ms (7%)

localize4.0ms (0.4%)

rewrite8.0ms (0.8%)

series5.0ms (0.5%)

simplify52.0ms (5.3%)

prune44.0ms (4.5%)

localize5.0ms (0.5%)

rewrite13.0ms (1.4%)

series10.0ms (1%)

simplify39.0ms (4%)

prune63.0ms (6.4%)

localize4.0ms (0.4%)

rewrite13.0ms (1.3%)

series10.0ms (1%)

simplify49.0ms (5%)

prune44.0ms (4.5%)

regimes99.0ms (10%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample295.0ms (29.9%)

Profiling