Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	32×	body	1280	valid
6.0ms	171×	body	80	valid
5.0ms	30×	body	640	valid
2.0ms	19×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	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 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5002	289

prune125.0ms

Filtered

65 candidates to 48 candidates (73.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

15.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series580.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
137.0ms	(cbrt (/ (sin y) y))
136.0ms	(cbrt (/ (sin y) y))
130.0ms	(cbrt (/ (sin y) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	1415
1	990	1364
2	5001	1289

prune362.0ms

Filtered

156 candidates to 126 candidates (80.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	156	6	162

Merged error: 0.0b

Counts

162 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.6b	(cbrt (/ 1 y))
0.6b	(cbrt (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ 1 y))
2.0ms	(cbrt (sin y))

series518.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (/ (sin y) y))
132.0ms	(cbrt (/ (sin y) y))
166.0ms	(cbrt (/ 1 y))
94.0ms	(cbrt (sin y))

simplify81.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	239	552
1	657	528
2	2776	505
3	5002	470

prune252.0ms

Filtered

89 candidates to 66 candidates (74.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
6.9b	(/ (* x (sin y)) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

4.0ms	(* x (sin y))
5.0ms	(/ (* x (sin y)) y)

series96.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (sin y))
59.0ms	(/ (* x (sin y)) y)

simplify28.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	154	189
1	799	158
2	5001	158

prune59.0ms

Filtered

45 candidates to 29 candidates (64.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

regimes92.0ms

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	6	3
1	6	3

end0.0ms

sample826.0ms

Algorithm

intervals

Results

226.0ms	897×	body	1280	valid
191.0ms	5236×	body	80	valid
165.0ms	1013×	body	640	valid
61.0ms	539×	body	320	valid
33.0ms	315×	body	160	valid