Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	194×	body	80	valid
12.0ms	26×	body	1280	valid
8.0ms	23×	body	640	valid
4.0ms	15×	body	320	valid
2.0ms	13×	body	160	valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.3b	(/ (* x (/ (sin y) y)) z)

rewrite55.0ms

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:

19.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
21.0ms	(/ (* x (/ (sin y) y)) z)

series237.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* x (/ (sin y) y))
29.0ms	(/ (sin y) y)
120.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.7s

Counts

92 → 92

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune314.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.2b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
1.3b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite113.0ms

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:

42.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
20.0ms	(/ 1 (/ y (sin y)))
31.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series251.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (/ 1 (/ y (sin y))))
30.0ms	(/ y (sin y))
33.0ms	(/ 1 (/ y (sin y)))
92.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.7s

Counts

219 → 219

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	286	2685
1	656	2136
2	1566	1805
done	5001	1787

prune602.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.2b	(/ y (sin y))
1.3b	(/ (pow (/ x (/ y (sin y))) 1) z)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
246×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
176×	`unpow-prod-down`
54×	`associate-/l*`
23×	`div-inv`
22×	`add-exp-log`
19×	`associate-/r*`
12×	`div-exp` `add-cbrt-cube`
5×	`cbrt-undiv` `associate-/r/`
4×	`sqr-pow`
3×	`pow1` `frac-2neg` `pow-exp` `clear-num` `add-log-exp`
1×	`pow-to-exp`

Counts

3 → 308

Calls

3 calls:

17.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))
93.0ms	(/ (pow (/ x (/ y (sin y))) 1) z)

series212.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ x (/ y (sin y)))
25.0ms	(/ y (sin y))
126.0ms	(/ (pow (/ x (/ y (sin y))) 1) z)

simplify2.7s

Counts

317 → 317

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	603	6010
1	1057	4946
2	4185	4753
done	5000	4729

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
1.0b	(/ (/ x (/ (cbrt y) (cbrt (sin y)))) z)

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

1287×	`times-frac`
597×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
441×	`cbrt-prod`
125×	`associate-/l*`
17×	`div-inv`
13×	`add-exp-log`
11×	`add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r/` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 553

Calls

4 calls:

3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
110.0ms	(/ (/ x (/ (cbrt y) (cbrt (sin y)))) z)

series684.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (sin y))
162.0ms	(cbrt (sin y))
143.0ms	(cbrt (sin y))
231.0ms	(/ (/ x (/ (cbrt y) (cbrt (sin y)))) z)

simplify2.0s

Counts

565 → 565

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	949	12810
1	2332	11911
done	5001	11666

prune3.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes222.0ms

Accuracy

90% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	46
1	26	35
done	26	35

end0.0ms

sample2.6s

Algorithm

intervals

Results

951.0ms	972×	body	1280	valid
513.0ms	5835×	body	80	valid
470.0ms	1063×	body	640	valid
206.0ms	577×	body	320	valid
45.0ms	287×	body	160	valid