Details

sample142.0ms

Algorithm

intervals

Results

38.0ms	352×	body	80	valid
31.0ms	83×	body	640	valid
29.0ms	51×	body	1280	valid
10.0ms	39×	body	320	valid
3.0ms	16×	body	160	valid

simplify14.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	144	7
5	272	7
6	482	7
7	1052	7
8	2094	7
9	3638	7
10	4858	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.7b	(/ (* (sin x) (sinh y)) x)

rewrite35.0ms

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:

1.0ms	(sinh y)
13.0ms	(* (sin x) (sinh y))
20.0ms	(/ (* (sin x) (sinh y)) x)

series297.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(sinh y)
106.0ms	(* (sin x) (sinh y))
113.0ms	(/ (* (sin x) (sinh y)) x)

simplify4.2s

Counts

58 → 58

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	117	538
1	270	516
2	984	445
3	4845	419
done	5000	419

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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:

3.0ms	(sinh y)
15.0ms	(/ (sinh y) x)
47.0ms	(* (/ (sinh y) x) (sin x))

series361.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
138.0ms	(/ (sinh y) x)
138.0ms	(* (/ (sinh y) x) (sin x))

simplify2.3s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	141	721
1	324	694
2	897	622
3	2878	620
done	5000	620

prune241.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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:

3.0ms	(sinh y)
35.0ms	(* (sinh y) (/ (sin x) x))
17.0ms	(/ (sin x) x)

series233.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
109.0ms	(* (sinh y) (/ (sin x) x))
38.0ms	(/ (sin x) x)

simplify2.6s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	134	733
1	299	700
2	999	631
3	3632	629
done	5000	629

prune284.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))
0.1b	(/ 1 (/ x (sin x)))

rewrite110.0ms

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:

3.0ms	(sinh y)
69.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
6.0ms	(/ x (sin x))
13.0ms	(/ 1 (/ x (sin x)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(sinh y)
125.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
38.0ms	(/ x (sin x))
51.0ms	(/ 1 (/ x (sin x)))

simplify2.0s

Counts

198 → 198

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	273	2404
1	624	1926
2	1563	1674
done	5000	1636

prune506.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.5s	1791×	body	1280	valid
1.1s	10387×	body	80	valid
1.1s	1937×	body	640	valid
311.0ms	1120×	body	320	valid
91.0ms	573×	body	160	valid