Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	230×	body	80	valid
1.0ms	14×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

9.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify78.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

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

prune39.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	6	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	7	17

Merged error: 0.0b

Counts

17 → 7

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))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify78.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

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

prune30.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

localize12.0ms

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)))

rewrite48.0ms

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:

21.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (60.0ms)

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

prune213.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	105	9	114

Merged error: 0.0b

Counts

114 → 9

localize14.0ms

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)))

rewrite36.0ms

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)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))
43.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (64.0ms)

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

prune221.0ms

Filtered

60 candidates to 68 candidates (-13.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	67	10	77

Merged error: 0.0b

Counts

77 → 10

regimes200.0ms

Accuracy

0% (0.1b 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	7	3
1	7	3

end0.0ms

sample402.0ms

Algorithm

intervals

Results

159.0ms	7430×	body	80	valid
18.0ms	199×	body	1280	valid
11.0ms	146×	body	640	valid
10.0ms	92×	body	2560	valid
6.0ms	96×	body	320	valid
1.0ms	39×	body	160	valid

Details

sample16.0ms

simplify17.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify78.0ms

prune39.0ms

localize5.0ms

rewrite3.0ms

series5.0ms

simplify78.0ms

prune30.0ms

localize12.0ms

rewrite48.0ms

series173.0ms

simplify71.0ms

prune213.0ms

localize14.0ms

rewrite36.0ms

series166.0ms

simplify71.0ms

prune221.0ms

regimes200.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample402.0ms

Profiling