Details

analyze265.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

prune3.0ms

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: 16.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.6b	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
11.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (+ t1 u) (+ t1 u))
18.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune88.0ms

Filtered

41 candidates to 76 candidates (-85.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (neg t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
0.6b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

7.0ms	(/ (neg t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
27.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (neg t1) (+ t1 u))
7.0ms	(/ v (+ t1 u))
25.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify61.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	593	1281
1	2692	1197
2	5002	1197

prune185.0ms

Filtered

134 candidates to 201 candidates (-50.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	194	7	201
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	198	10	208

Merged error: 0b

Counts

208 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) t1)
0.0b	(/ v (+ t1 u))
0.2b	(/ -1 (/ (+ t1 u) t1))
0.6b	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
184×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
53×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
32×	`distribute-lft-out`
23×	`associate-/r*`
18×	`associate-r`
14×	`cbrt-undiv` `div-exp`
12×	`div-inv`
10×	`associate-/l*`
6×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`associate-/l/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 249

Calls

4 calls:

5.0ms	(/ (+ t1 u) t1)
5.0ms	(/ v (+ t1 u))
8.0ms	(/ -1 (/ (+ t1 u) t1))
31.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (+ t1 u) t1)
6.0ms	(/ v (+ t1 u))
6.0ms	(/ -1 (/ (+ t1 u) t1))
22.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify111.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	841	1815
1	4252	1692
2	5002	1603

prune241.0ms

Filtered

172 candidates to 261 candidates (-51.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	259	2	261
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	263	8	271

Merged error: 0b

Counts

271 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (neg t1) (+ t1 u))
0.0b	(/ (+ t1 u) v)
0.6b	(* (/ (neg t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
0.8b	(/ 1 (/ (+ t1 u) v))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

289×	`times-frac`
248×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
64×	`add-exp-log`
53×	`associate-r`
46×	`associate-l` `distribute-lft-out`
34×	`add-cbrt-cube`
30×	`div-exp`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`associate-/r*`
17×	`associate-/l*`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`unswap-sqr`
9×	`neg-mul-1`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`distribute-frac-neg` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 334

Calls

4 calls:

7.0ms	(/ (neg t1) (+ t1 u))
5.0ms	(/ (+ t1 u) v)
54.0ms	(* (/ (neg t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
8.0ms	(/ 1 (/ (+ t1 u) v))

series44.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (neg t1) (+ t1 u))
5.0ms	(/ (+ t1 u) v)
21.0ms	(* (/ (neg t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
11.0ms	(/ 1 (/ (+ t1 u) v))

simplify53.0ms

Algorithm

egg-herbie

Counts

346 → 346

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1043	2580
1	5001	2285

prune248.0ms

Filtered

209 candidates to 346 candidates (-65.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	344	2	346
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	347	7	354

Merged error: 0b

Counts

354 → 7

regimes186.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	23	7
3	25	7
4	25	7

end0.0ms

analyze254.0ms

Algorithm: search

sample471.0ms

Algorithm

intervals

Results

288.0ms	8000×	body	80	valid
7.0ms	214×	body	80	invalid

Details

analyze265.0ms

sample19.0ms

simplify73.0ms

prune3.0ms

localize10.0ms

rewrite22.0ms

series21.0ms

simplify57.0ms

prune88.0ms

localize7.0ms

rewrite47.0ms

series37.0ms

simplify61.0ms

prune185.0ms

localize8.0ms

rewrite62.0ms

series38.0ms

simplify111.0ms

prune241.0ms

localize11.0ms

rewrite92.0ms

series44.0ms

simplify53.0ms

prune248.0ms

regimes186.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze254.0ms

sample471.0ms

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