Details

sample39.0ms

Algorithm

intervals

Results

9.0ms	31×	body	1280	valid
9.0ms	44×	body	640	valid
8.0ms	182×	body	80	valid
1.0ms	10×	body	320	valid
1.0ms	13×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

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: 2.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.5b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

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

series147.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
69.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune164.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
2.5b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

18.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ 1 (/ y (sin y)))
3.0ms	(/ y (sin y))
10.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series164.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* x (/ 1 (/ y (sin y))))
24.0ms	(/ 1 (/ y (sin y)))
25.0ms	(/ y (sin y))
63.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify86.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	709	1445
1	3691	1227
2	5003	1090

prune314.0ms

Filtered

219 candidates to 131 candidates (59.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	220	7	227

Merged error: 0.0b

Counts

227 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))
2.5b	(/ (/ x (/ y (sin y))) z)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
50×	`associate-/l*`
23×	`div-inv`
19×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 293

Calls

3 calls:

6.0ms	(/ x (/ y (sin y)))
4.0ms	(/ y (sin y))
13.0ms	(/ (/ x (/ y (sin y))) z)

series143.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ x (/ y (sin y)))
25.0ms	(/ y (sin y))
66.0ms	(/ (/ x (/ y (sin y))) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1162	2917
1	5002	2805

prune635.0ms

Filtered

302 candidates to 258 candidates (85.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	303	6	309

Merged error: 0b

Counts

309 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ (/ (sin y) y) z)
3.1b	(* x (/ (/ (sin y) y) z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

4.0ms	(/ (sin y) y)
6.0ms	(/ (/ (sin y) y) z)
13.0ms	(* x (/ (/ (sin y) y) z))

series124.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (sin y) y)
34.0ms	(/ (/ (sin y) y) z)
66.0ms	(* x (/ (/ (sin y) y) z))

simplify70.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune306.0ms

Filtered

171 candidates to 138 candidates (80.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	171	6	177

Merged error: 0b

Counts

177 → 6

regimes246.0ms

Accuracy

93.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

324.0ms	1018×	body	1280	valid
281.0ms	5851×	body	80	valid
212.0ms	998×	body	640	valid
83.0ms	525×	body	320	valid
32.0ms	309×	body	160	valid