Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	230×	body	80	valid
2.0ms	14×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify27.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:

15.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify126.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (6.0ms)

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

prune71.0ms

Filtered

16 candidates to 12 candidates (25.0%)

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify124.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (6.0ms)

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

prune80.0ms

Filtered

15 candidates to 10 candidates (33.3%)

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

localize17.0ms

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)))

rewrite97.0ms

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:

41.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
16.0ms	(cbrt (+ x (/ (- x y) 2.0)))
17.0ms	(cbrt (+ x (/ (- x y) 2.0)))
16.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
73.0ms	(cbrt (+ x (/ (- x y) 2.0)))
69.0ms	(cbrt (+ x (/ (- x y) 2.0)))
80.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify114.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (93.0ms)

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

prune379.0ms

Filtered

107 candidates to 75 candidates (29.9%)

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

localize24.0ms

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)))

rewrite59.0ms

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:

14.0ms	(cbrt (+ x (/ (- x y) 2.0)))
14.0ms	(cbrt (+ x (/ (- x y) 2.0)))
14.0ms	(cbrt (+ x (/ (- x y) 2.0)))
15.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (+ x (/ (- x y) 2.0)))
73.0ms	(cbrt (+ x (/ (- x y) 2.0)))
73.0ms	(cbrt (+ x (/ (- x y) 2.0)))
75.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify109.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (97.0ms)

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

prune383.0ms

Filtered

68 candidates to 60 candidates (11.8%)

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

regimes387.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample782.0ms

Algorithm

intervals

Results

307.0ms	7430×	body	80	valid
36.0ms	199×	body	1280	valid
21.0ms	146×	body	640	valid
20.0ms	92×	body	2560	valid
11.0ms	96×	body	320	valid
3.0ms	39×	body	160	valid

Details

sample24.0ms

simplify27.0ms

prune4.0ms

localize9.0ms

rewrite15.0ms

series8.0ms

simplify126.0ms

prune71.0ms

localize10.0ms

rewrite7.0ms

series10.0ms

simplify124.0ms

prune80.0ms

localize17.0ms

rewrite97.0ms

series308.0ms

simplify114.0ms

prune379.0ms

localize24.0ms

rewrite59.0ms

series293.0ms

simplify109.0ms

prune383.0ms

regimes387.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample782.0ms

Profiling