Details

sample62.0ms

Algorithm

intervals

Results

16.0ms	60×	body	1280	valid
13.0ms	345×	body	80	valid
12.0ms	68×	body	640	valid
4.0ms	36×	body	320	valid
2.0ms	23×	body	160	valid

simplify12.0s

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	143	7
5	268	7
6	494	7
7	1095	7
8	2374	7
9	3240	7
10	4789	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.9b	(/ (* (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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series239.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
94.0ms	(/ (* (sin x) (sinh y)) x)

simplify888.0ms

Counts

64 → 64

Iterations

Useful iterations: done (886.0ms)

Iter	Nodes	Cost
0	123	572
1	292	546
2	1065	476
done	5000	474

prune161.0ms

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)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite14.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

0.0ms	(sinh y)
3.0ms	(/ (sinh y) x)
8.0ms	(* (sin x) (/ (sinh y) x))

series235.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
75.0ms	(/ (sinh y) x)
95.0ms	(* (sin x) (/ (sinh y) x))

simplify2.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	146	770
1	343	727
2	1076	657
3	4303	655
done	5001	655

prune215.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
1.1b	(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

0.0ms	(sinh y)
2.0ms	(/ x (sinh y))
7.0ms	(/ (sin x) (/ x (sinh y)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
113.0ms	(/ x (sinh y))
98.0ms	(/ (sin x) (/ x (sinh y)))

simplify873.0ms

Counts

125 → 125

Iterations

Useful iterations: done (870.0ms)

Iter	Nodes	Cost
0	221	1576
1	489	1485
2	1512	1407
done	5000	1399

prune327.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

461×	`times-frac`
223×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log` `div-inv`
20×	`associate-/r*` `add-cbrt-cube`
19×	`div-exp` `associate-/l*`
16×	`sinh-def` `associate-/r/`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 308

Calls

4 calls:

0.0ms	(sinh y)
3.0ms	(/ 1 (sinh y))
3.0ms	(/ (sin x) x)
12.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sinh y)
68.0ms	(/ 1 (sinh y))
34.0ms	(/ (sin x) x)
99.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify2.3s

Counts

320 → 320

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	507	5859
1	1427	5137
2	4385	4423
done	5000	4415

prune539.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample2.0s

Algorithm

intervals

Results

623.0ms	10308×	body	80	valid
532.0ms	1849×	body	1280	valid
348.0ms	1951×	body	640	valid
150.0ms	1171×	body	320	valid
52.0ms	615×	body	160	valid