Details

sample61.0ms

Algorithm

intervals

Results

16.0ms	59×	body	1280	valid
13.0ms	311×	body	80	valid
11.0ms	59×	body	640	valid
6.0ms	44×	body	320	valid
2.0ms	23×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	68	7
4	144	7
5	269	7
6	509	7
7	1507	7
8	3619	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.0b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series237.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
81.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify429.0ms

Counts

58 → 58

Iterations

Useful iterations: done (428.0ms)

Iter	Nodes	Cost
0	117	538
1	286	516
2	1162	445
done	5000	417

prune133.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.2b	(* (/ (sinh y) x) (sin x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

0.0ms	(sinh y)
3.0ms	(/ (sinh y) x)
12.0ms	(* (/ (sinh y) x) (sin x))

series214.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
70.0ms	(/ (sinh y) x)
84.0ms	(* (/ (sinh y) x) (sin x))

simplify449.0ms

Counts

77 → 77

Iterations

Useful iterations: done (447.0ms)

Iter	Nodes	Cost
0	141	721
1	338	694
2	1126	622
done	5000	598

prune189.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (/ (sin x) x))
0.1b	(/ (sin x) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(* (sinh y) (/ (sin x) x))
3.0ms	(/ (sin x) x)

series173.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
84.0ms	(* (sinh y) (/ (sin x) x))
29.0ms	(/ (sin x) x)

simplify497.0ms

Counts

78 → 78

Iterations

Useful iterations: done (495.0ms)

Iter	Nodes	Cost
0	134	733
1	315	700
2	1271	631
done	5000	609

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (/ 1 (/ x (sin x))))
0.1b	(/ x (sin x))
0.2b	(/ 1 (/ x (sin x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`sinh-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 186

Calls

4 calls:

0.0ms	(sinh y)
24.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
2.0ms	(/ x (sin x))
6.0ms	(/ 1 (/ x (sin x)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sinh y)
83.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
28.0ms	(/ x (sin x))
35.0ms	(/ 1 (/ x (sin x)))

simplify1.5s

Counts

198 → 198

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	273	2404
1	676	2048
2	2587	1674
done	5000	1654

prune380.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes71.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

535.0ms	1840×	body	1280	valid
426.0ms	10297×	body	80	valid
354.0ms	1884×	body	640	valid
146.0ms	1112×	body	320	valid
60.0ms	621×	body	160	valid