Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	34×	body	1280	valid
9.0ms	155×	body	80	valid
8.0ms	29×	body	640	valid
5.0ms	23×	body	320	valid
2.0ms	15×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

29.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series104.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify4.3s

Counts

69 → 69

Iterations

Useful iterations: 3 (504.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	568	516
3	1586	514
4	4787	514
done	5001	514

prune190.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.2b	(/ (sin y) y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

27.0ms	(* (/ (sin y) y) x)
15.0ms	(/ (sin y) y)

series109.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (/ (sin y) y) x)
47.0ms	(/ (sin y) y)

simplify4.8s

Counts

69 → 69

Iterations

Useful iterations: 3 (557.0ms)

Iter	Nodes	Cost
0	104	578
1	220	563
2	605	509
3	1716	507
done	5001	507

prune145.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

38.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))

series730.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
160.0ms	(cbrt (/ (sin y) y))
195.0ms	(cbrt (/ (sin y) y))
162.0ms	(cbrt (/ (sin y) y))

simplify3.3s

Counts

164 → 164

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	171	2261
1	300	2130
2	765	2048
3	1509	1944
4	3745	1821
done	5000	1687

prune716.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
5.2b	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
18×	`cbrt-unprod`
17×	`div-exp`
9×	`pow1` `cbrt-undiv` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
92.0ms	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

series446.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (sin y))
131.0ms	(cbrt (sin y))
122.0ms	(cbrt (sin y))
51.0ms	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

simplify2.3s

Counts

98 → 98

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	133	1445
1	329	1238
2	1175	763
done	5000	605

prune271.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

491.0ms	5206×	body	80	valid
434.0ms	960×	body	1280	valid
424.0ms	959×	body	640	valid
166.0ms	563×	body	320	valid
47.0ms	312×	body	160	valid