Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	30×	body	1280	valid
8.0ms	170×	body	80	valid
6.0ms	32×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	142
1	8	142
2	12	142
3	16	142
4	17	142
done	17	142

prune4.0ms

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `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-r/` `-commutative`

Counts

2 → 59

Calls

2 calls:

24.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)

series95.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (/ (sin y) y))
32.0ms	(/ (sin y) y)

simplify774.0ms

Counts

65 → 65

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	98	14829
1	232	13589
2	996	13347
done	5000	13267

prune426.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

25.0ms	(* (/ (sin y) y) x)
6.0ms	(/ (sin y) y)

series104.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (/ (sin y) y) x)
53.0ms	(/ (sin y) y)

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	100	14846
1	234	13809
2	1128	13528
done	5000	13408

prune263.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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:

45.0ms	(* (* (sin y) (/ 1 y)) x)
24.0ms	(* (sin y) (/ 1 y))

series81.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (* (sin y) (/ 1 y)) x)
37.0ms	(* (sin y) (/ 1 y))

simplify4.2s

Counts

66 → 66

Iterations

Useful iterations: 2 (598.0ms)

Iter	Nodes	Cost
0	117	16285
1	310	13434
2	2927	11591
done	5001	11591

prune286.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize37.0ms

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))

rewrite54.0ms

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:

41.0ms	(* (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))

series753.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
182.0ms	(cbrt (/ (sin y) y))
156.0ms	(cbrt (/ (sin y) y))
198.0ms	(cbrt (/ (sin y) y))

simplify1.6s

Counts

156 → 156

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	167	62887
1	327	58550
2	1373	58348
done	5000	57428

prune783.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	183
1	11	183
done	11	183

end0.0ms

sample1.6s

Algorithm

intervals

Results

506.0ms	935×	body	1280	valid
436.0ms	5186×	body	80	valid
319.0ms	1011×	body	640	valid
98.0ms	540×	body	320	valid
41.0ms	328×	body	160	valid