Details

sample66.0ms

Algorithm

intervals

Results

17.0ms	60×	body	1280	valid
14.0ms	345×	body	80	valid
13.0ms	68×	body	640	valid
5.0ms	36×	body	320	valid
2.0ms	23×	body	160	valid

simplify16.1s

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	141	7
5	255	7
6	464	7
7	1043	7
8	2209	7
9	3014	7
10	4260	7
11	4714	7
12	4764	7
done	4764	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize8.0ms

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×	`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)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series275.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh y)
95.0ms	(* (sin x) (sinh y))
108.0ms	(/ (* (sin x) (sinh y)) x)

simplify922.0ms

Counts

58 → 58

Iterations

Useful iterations: done (921.0ms)

Iter	Nodes	Cost
0	117	538
1	279	516
2	1027	445
done	5000	443

prune177.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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×	`associate-l` `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` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

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

series285.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh y)
94.0ms	(/ (sinh y) x)
119.0ms	(* (sin x) (/ (sinh y) x))

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	140	738
1	327	699
2	1038	629
3	4202	627
done	5001	627

prune462.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

0.0ms	(sinh y)
2.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series324.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(sinh y)
140.0ms	(/ x (sinh y))
116.0ms	(/ (sin x) (/ x (sinh y)))

simplify896.0ms

Counts

119 → 119

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	215	1544
1	475	1456
2	1482	1377
done	5000	1369

prune351.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

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)))

rewrite38.0ms

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×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 300

Calls

4 calls:

1.0ms	(sinh y)
2.0ms	(/ 1 (sinh y))
3.0ms	(/ (sin x) x)
13.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sinh y)
76.0ms	(/ 1 (sinh y))
35.0ms	(/ (sin x) x)
110.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify1.3s

Counts

312 → 312

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	499	5813
1	1411	4774
2	3591	4385
done	5001	4377

prune556.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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

sample1.9s

Algorithm

intervals

Results

552.0ms	1849×	body	1280	valid
433.0ms	10308×	body	80	valid
365.0ms	1951×	body	640	valid
157.0ms	1171×	body	320	valid
55.0ms	615×	body	160	valid