Details

sample69.0ms

Algorithm

intervals

Results

17.0ms	345×	body	80	valid
17.0ms	60×	body	1280	valid
13.0ms	68×	body	640	valid
5.0ms	36×	body	320	valid
2.0ms	23×	body	160	valid

simplify12.4s

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	143	7
5	268	7
6	494	7
7	1086	7
8	2321	7
9	3183	7
10	4461	7
11	4973	7
done	5000	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)

rewrite11.0ms

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)
5.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series257.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
85.0ms	(* (sin x) (sinh y))
109.0ms	(/ (* (sin x) (sinh y)) x)

simplify899.0ms

Counts

64 → 64

Iterations

Useful iterations: done (898.0ms)

Iter	Nodes	Cost
0	123	572
1	291	546
2	1065	475
done	5000	474

prune168.0ms

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))

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×	`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:

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

series289.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(sinh y)
88.0ms	(/ (sinh y) x)
122.0ms	(* (sin x) (/ (sinh y) x))

simplify2.7s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	146	770
1	341	727
2	1075	656
3	4313	655
done	5001	655

prune238.0ms

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)))

rewrite15.0ms

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:

1.0ms	(sinh y)
2.0ms	(/ x (sinh y))
7.0ms	(/ (sin x) (/ x (sinh y)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(sinh y)
125.0ms	(/ x (sinh y))
111.0ms	(/ (sin x) (/ x (sinh y)))

simplify851.0ms

Counts

125 → 125

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	221	1576
1	487	1485
2	1511	1406
done	5000	1398

prune355.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ (sinh y) (/ x (sin x)))
2.0ms	(/ x (sin x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(sinh y)
97.0ms	(/ (sinh y) (/ x (sin x)))
33.0ms	(/ x (sin x))

simplify844.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	210	1498
1	470	1410
2	1468	1331
done	5001	1331

prune348.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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

sample1.8s

Algorithm

intervals

Results

525.0ms	1849×	body	1280	valid
423.0ms	10308×	body	80	valid
362.0ms	1951×	body	640	valid
159.0ms	1171×	body	320	valid
54.0ms	615×	body	160	valid