Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
7.0ms	262×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
5.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series149.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
61.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
40.0ms	(* 3.0 (sqrt x))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	425	414
1	1696	363
2	5001	355

prune201.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
60×	`times-frac`
46×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ y (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
43.0ms	(/ y (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))
60.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	637	901
1	2885	782
2	5001	775

prune326.0ms

Filtered

154 candidates to 102 candidates (66.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	155	7	162

Merged error: 0.0b

Counts

162 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

135×	`times-frac`
117×	`add-sqr-sqrt`
86×	`*-un-lft-identity`
81×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
16×	`associate-/l*`
13×	`associate-l`
12×	`div-exp`
9×	`associate-/r*` `unswap-sqr`
8×	`cbrt-undiv` `prod-exp` `div-inv`
6×	`pow1` `add-log-exp`
4×	`cbrt-unprod`
3×	`difference-of-squares`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 193

Calls

4 calls:

13.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
4.0ms	(/ y (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)
14.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
43.0ms	(/ y (sqrt x))
16.0ms	(/ (/ 1.0 x) 9.0)
60.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	865	1293
1	3736	1167
2	5003	1161

prune495.0ms

Filtered

205 candidates to 147 candidates (71.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	200	5	205
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	204	8	212

Merged error: 0b

Counts

212 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(/ (sqrt x) y)
0.3b	(* (/ 1 3.0) (/ 1 (/ (sqrt x) y)))
1.0b	(/ 1 (/ (sqrt x) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

404×	`times-frac`
275×	`add-sqr-sqrt`
221×	`*-un-lft-identity`
205×	`add-cube-cbrt`
105×	`add-exp-log`
81×	`sqrt-prod`
71×	`associate-r`
53×	`div-exp`
37×	`add-cbrt-cube`
28×	`prod-exp` `associate-/r*`
22×	`associate-/l*`
21×	`unswap-sqr`
17×	`rec-exp` `1-exp`
16×	`cbrt-undiv` `div-inv`
13×	`associate-l`
9×	`pow1`
6×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `inv-pow`
2×	`associate-/r/`
1×	`frac-times` `associate-r/` `associate-l/` `un-div-inv` `*-commutative` `associate-/l/`

Counts

4 → 375

Calls

4 calls:

6.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(/ (sqrt x) y)
33.0ms	(* (/ 1 3.0) (/ 1 (/ (sqrt x) y)))
8.0ms	(/ 1 (/ (sqrt x) y))

series195.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (/ 1.0 x) 9.0)
62.0ms	(/ (sqrt x) y)
58.0ms	(* (/ 1 3.0) (/ 1 (/ (sqrt x) y)))
58.0ms	(/ 1 (/ (sqrt x) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1489	2937
1	5002	2500

prune783.0ms

Filtered

387 candidates to 229 candidates (59.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	387	8	395

Merged error: 0b

Counts

395 → 8

regimes65.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample790.0ms

Algorithm

intervals

Results

274.0ms	8559×	body	80	valid
247.0ms	8459×	body	80	nan