Details

analyze60.0ms (4.6%)

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%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample16.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune7.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.9%)

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:

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

series10.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* (* x 3.0) y) y)
3.0ms	(* (* x 3.0) y)

simplify45.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4953	307
1	4953	307

prune81.0ms (6.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	9	47

Merged error: 0.0b

Counts

47 → 9

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.9%)

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

series11.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* x (* 3.0 y)) y)
3.0ms	(* x (* 3.0 y))

simplify32.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5185	308

prune76.0ms (5.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	44	10	54

Merged error: 0.0b

Counts

54 → 10

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series93.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt x) (cbrt x))
24.0ms	(cbrt x)
23.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify46.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune119.0ms (9.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(* 3.0 (* y y))
9.9b	(* x (* 3.0 (* y y)))

rewrite13.0ms (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`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

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

series10.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (* 3.0 (* y y)))
3.0ms	(* 3.0 (* y y))

simplify33.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5092	314

prune59.0ms (4.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	2	5	7
Picked	0	1	1
Done	1	2	3
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

regimes209.0ms (16.1%)

Accuracy

Total 0.2b remaining (84.9%)

Threshold costs 0.2b (84.9%)

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%)

sample322.0ms (24.8%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	80	valid
4.0ms	201×	body	80	invalid

Details

analyze60.0ms (4.6%)

sample16.0ms (1.2%)

simplify3.0ms (0.2%)

prune7.0ms (0.5%)

localize4.0ms (0.3%)

rewrite12.0ms (0.9%)

series10.0ms (0.8%)

simplify45.0ms (3.4%)

prune81.0ms (6.2%)

localize4.0ms (0.3%)

rewrite12.0ms (0.9%)

series11.0ms (0.8%)

simplify32.0ms (2.4%)

prune76.0ms (5.8%)

localize9.0ms (0.7%)

rewrite11.0ms (0.8%)

series93.0ms (7.1%)

simplify46.0ms (3.5%)

prune119.0ms (9.1%)

localize4.0ms (0.3%)

rewrite13.0ms (1%)

series10.0ms (0.8%)

simplify33.0ms (2.5%)

prune59.0ms (4.5%)

regimes209.0ms (16.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample322.0ms (24.8%)

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