Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	233×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	5×	body	2560	valid
0.0ms	5×	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))

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))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

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

prune36.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

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: 0.1b

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))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify75.0ms

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

prune29.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	14	7	21

Merged error: 0.1b

Counts

21 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
10.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
43.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (54.0ms)

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

prune207.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	105	9	114

Merged error: 0.0b

Counts

114 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 4 (72.0ms)

Iter	Nodes	Cost
0	200	630
1	436	592
2	1062	584
3	3502	572
4	5002	564

prune222.0ms

Filtered

63 candidates to 71 candidates (-12.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

regimes198.0ms

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	7	3
1	7	3

end0.0ms

sample422.0ms

Algorithm

intervals

Results

164.0ms	7384×	body	80	valid
22.0ms	227×	body	1280	valid
13.0ms	165×	body	640	valid
11.0ms	92×	body	2560	valid
5.0ms	91×	body	320	valid
2.0ms	43×	body	160	valid

Details

sample21.0ms

simplify17.0ms

prune2.0ms

localize4.0ms

rewrite8.0ms

series5.0ms

simplify74.0ms

prune36.0ms

localize5.0ms

rewrite3.0ms

series5.0ms

simplify75.0ms

prune29.0ms

localize9.0ms

rewrite49.0ms

series172.0ms

simplify65.0ms

prune207.0ms

localize13.0ms

rewrite36.0ms

series164.0ms

simplify80.0ms

prune222.0ms

regimes198.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample422.0ms

Profiling