Details

sample37.0ms

Algorithm

intervals

Results

8.0ms	167×	body	80	valid
7.0ms	26×	body	1280	valid
7.0ms	39×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

13.0ms	(/ (sin y) y)
16.0ms	(* (/ (sin y) y) x)

series126.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (sin y) y)
86.0ms	(* (/ (sin y) y) x)

simplify771.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1133
1	234
0	100

prune295.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (sin y) (/ 1 y)) x)
0.3b	(* (sin y) (/ 1 y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv`

Counts

2 → 60

Calls

2 calls:

28.0ms	(* (* (sin y) (/ 1 y)) x)
20.0ms	(* (sin y) (/ 1 y))

series129.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (* (sin y) (/ 1 y)) x)
53.0ms	(* (sin y) (/ 1 y))

simplify4.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	2927
1	310
0	117

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

23.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series834.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
205.0ms	(cbrt (/ (sin y) y))
169.0ms	(cbrt (/ (sin y) y))
179.0ms	(cbrt (/ (sin y) y))

simplify1.2s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	1373
1	327
0	167

prune916.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (/ 1 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
27×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (/ 1 y))

series839.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (/ (sin y) y))
223.0ms	(cbrt (/ (sin y) y))
134.0ms	(cbrt (sin y))
245.0ms	(cbrt (/ 1 y))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
3	3482
2	721
1	256
0	141

prune451.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

763.0ms	1015×	body	640	valid
422.0ms	5245×	body	80	valid
416.0ms	918×	body	1280	valid
155.0ms	521×	body	320	valid
40.0ms	301×	body	160	valid