Details

sample34.0ms

Algorithm

intervals

Results

7.0ms	185×	body	80	valid
7.0ms	27×	body	1280	valid
6.0ms	35×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.0ms

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 (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: 1.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.7b	(/ (* x (/ (sin y) y)) z)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
108×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
65×	`associate-r`
34×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
15×	`associate-l`
12×	`associate-/r*`
11×	`associate-/l/`
10×	`unswap-sqr`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `clear-num`
5×	`pow1` `*-commutative`
4×	`frac-2neg` `prod-exp` `un-div-inv` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 197

Calls

3 calls:

8.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
16.0ms	(/ (* x (/ (sin y) y)) z)

series155.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify93.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	718	1383
1	3413	1312
2	5001	1312

prune347.0ms

Filtered

206 candidates to 161 candidates (21.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	200	6	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	200	7	207

Merged error: 0b

Counts

207 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (* x (/ (sin y) y)) z)
13.8b	(cbrt (/ (* x (/ (sin y) y)) z))
13.8b	(cbrt (/ (* x (/ (sin y) y)) z))
13.8b	(cbrt (/ (* x (/ (sin y) y)) z))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

436×	`times-frac`
335×	`add-sqr-sqrt`
259×	`*-un-lft-identity`
255×	`add-cube-cbrt`
219×	`cbrt-prod`
208×	`associate-r`
120×	`cbrt-div`
108×	`associate-/l*`
48×	`associate-l`
44×	`associate-/l/`
36×	`associate-*r/`
32×	`unswap-sqr`
24×	`associate-/r*`
20×	`div-inv`
16×	`*-commutative`
13×	`add-exp-log` `add-cbrt-cube`
12×	`clear-num`
8×	`frac-2neg` `un-div-inv`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`

Counts

4 → 493

Calls

4 calls:

19.0ms	(/ (* x (/ (sin y) y)) z)
17.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
17.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
17.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

series528.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (* x (/ (sin y) y)) z)
151.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
147.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
156.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

simplify137.0ms

Algorithm

egg-herbie

Counts

505 → 505

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	946	5216
1	3733	5141
2	5001	5111

prune1.4s

Filtered

505 candidates to 411 candidates (18.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	505	0	505
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	505	7	512

Merged error: 0b

Counts

512 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
2.7b	(/ (/ (sin y) y) (/ z x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
210×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
22×	`associate-/r` `associate-/l`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
4×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 262

Calls

2 calls:

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

series116.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (sin y) y)
85.0ms	(/ (/ (sin y) y) (/ z x))

simplify57.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1360	2785
1	5001	2694

prune702.0ms

Filtered

268 candidates to 219 candidates (18.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	269	6	275

Merged error: 0b

Counts

275 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
2.2b	(* (/ (sin y) y) (/ x z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-times`
76×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
64×	`add-cube-cbrt` `associate-/l*`
63×	`associate-/r*`
31×	`times-frac`
22×	`clear-num`
21×	`frac-2neg`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-l`
9×	`associate-r/` `associate-l/`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`div-inv`
2×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 179

Calls

2 calls:

4.0ms	(/ (sin y) y)
15.0ms	(* (/ (sin y) y) (/ x z))

series98.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (sin y) y)
71.0ms	(* (/ (sin y) y) (/ x z))

simplify111.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	813	1164
1	4023	1104
2	5001	1104

prune250.0ms

Filtered

185 candidates to 125 candidates (32.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	185	6	191

Merged error: 0b

Counts

191 → 6

regimes213.0ms

Accuracy

94.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	31	16
2	34	16
3	34	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

282.0ms	1021×	body	1280	valid
239.0ms	5740×	body	80	valid
206.0ms	1056×	body	640	valid
85.0ms	558×	body	320	valid
29.0ms	312×	body	160	valid