Details

analyze61.0ms (5.1%)

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

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune5.0ms (0.4%)

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: 10.5b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(* (* x 3.0) x)
10.0b	(* (* (* x 3.0) x) y)

rewrite15.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

10.0ms	(* (* (* x 3.0) x) y)
4.0ms	(* (* x 3.0) x)

series7.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (* (* x 3.0) x) y)
3.0ms	(* (* x 3.0) x)

simplify48.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5209	307

prune83.0ms (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

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (* x 3.0) (* x y))

series4.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x 3.0) (* x y))

simplify52.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5305	193

prune50.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	26	8	34

Merged error: 0.1b

Counts

34 → 8

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(* x (* 3.0 (* x y)))
0.3b	(* 3.0 (* x y))

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* x (* 3.0 (* x y)))
4.0ms	(* 3.0 (* x y))

series8.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (* 3.0 (* x y)))
4.0ms	(* 3.0 (* x y))

simplify39.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5181	306

prune79.0ms (6.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	43	10	53

Merged error: 0.0b

Counts

53 → 10

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(* x (* (* 3.0 x) y))
0.2b	(* (* 3.0 x) y)

rewrite11.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* x (* (* 3.0 x) y))
5.0ms	(* (* 3.0 x) y)

series8.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (* (* 3.0 x) y))
4.0ms	(* (* 3.0 x) y)

simplify48.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5299	308

prune56.0ms (4.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	2	4	6
Picked	1	0	1
Done	0	3	3
Total	45	10	55

Merged error: 0.0b

Counts

55 → 10

regimes256.0ms (21.6%)

Accuracy

Total 0.2b remaining (89%)

Threshold costs 0.2b (89%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample300.0ms (25.3%)

Algorithm

1×

intervals

Results

179.0ms	8000×	body	80	valid
2.0ms	95×	body	80	invalid

Details

analyze61.0ms (5.1%)

sample13.0ms (1.1%)

simplify3.0ms (0.3%)

prune5.0ms (0.4%)

localize5.0ms (0.4%)

rewrite15.0ms (1.3%)

series7.0ms (0.6%)

simplify48.0ms (4.1%)

prune83.0ms (7%)

localize5.0ms (0.4%)

rewrite7.0ms (0.6%)

series4.0ms (0.4%)

simplify52.0ms (4.4%)

prune50.0ms (4.2%)

localize5.0ms (0.4%)

rewrite12.0ms (1%)

series8.0ms (0.6%)

simplify39.0ms (3.3%)

prune79.0ms (6.7%)

localize5.0ms (0.4%)

rewrite11.0ms (1%)

series8.0ms (0.6%)

simplify48.0ms (4.1%)

prune56.0ms (4.8%)

regimes256.0ms (21.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample300.0ms (25.3%)

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