Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	236×	body	80	valid
1.0ms	5×	body	2560	valid
0.0ms	7×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ x (/ (- x y) 2.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune31.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.0b

Counts

17 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* 1.5 x) (* 0.5 y))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(- (* 1.5 x) (* 0.5 y))

simplify85.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	87	81
1	274	74
2	884	74
3	2126	74
4	5001	74

prune26.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	15	6	21

Merged error: 0.0b

Counts

21 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.7s

Counts

4 → 12

Calls

4 calls:

388.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
444.0ms	(cbrt (+ x (/ (- x y) 2.0)))
416.0ms	(cbrt (+ x (/ (- x y) 2.0)))
424.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	263	1109
1	751	1044
2	2594	956
3	5001	938

prune216.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	104	9	113

Merged error: 0.0b

Counts

113 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.7s

Counts

4 → 12

Calls

4 calls:

428.0ms	(cbrt (+ x (/ (- x y) 2.0)))
420.0ms	(cbrt (+ x (/ (- x y) 2.0)))
434.0ms	(cbrt (+ x (/ (- x y) 2.0)))
423.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	144	572
1	316	536
2	807	528
3	2831	516
4	5002	508

prune217.0ms

Filtered

68 candidates to 60 candidates (88.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample313.0ms

Algorithm

intervals

Results

146.0ms	7418×	body	80	valid
19.0ms	228×	body	1280	valid
10.0ms	140×	body	640	valid
9.0ms	85×	body	2560	valid
5.0ms	90×	body	320	valid
1.0ms	42×	body	160	valid

Details

sample12.0ms

simplify20.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series37.0ms

simplify83.0ms

prune31.0ms

localize5.0ms

rewrite3.0ms

series40.0ms

simplify85.0ms

prune26.0ms

localize9.0ms

rewrite51.0ms

series1.7s

simplify70.0ms

prune216.0ms

localize13.0ms

rewrite34.0ms

series1.7s

simplify72.0ms

prune217.0ms

regimes123.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample313.0ms

Profiling