Details

sample143.0ms

Algorithm

intervals

Results

41.0ms	66×	body	1280	valid
29.0ms	315×	body	80	valid
28.0ms	68×	body	640	valid
13.0ms	44×	body	320	valid
4.0ms	18×	body	160	valid

simplify12.6s

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: 13.8b

localize7.0ms

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)

rewrite28.0ms

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)
12.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series282.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
103.0ms	(* (sin x) (sinh y))
113.0ms	(/ (* (sin x) (sinh y)) x)

simplify3.6s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.9s)

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

prune210.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:

11.0ms	(/ (sinh y) x)
2.0ms	(sinh y)
25.0ms	(* (sin x) (/ (sinh y) x))

series305.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (sinh y) x)
81.0ms	(sinh y)
142.0ms	(* (sin x) (/ (sinh y) x))

simplify2.2s

Counts

77 → 77

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	140	738
1	318	699
2	1015	629
3	3364	627
done	5001	615

prune289.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

9.0ms	(/ x (sinh y))
1.0ms	(sinh y)
14.0ms	(/ (sin x) (/ x (sinh y)))

series363.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(/ x (sinh y))
72.0ms	(sinh y)
128.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.4s

Counts

119 → 119

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	215	1544
1	453	1456
2	1433	1377
3	4779	1359
done	5001	1359

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)))

rewrite80.0ms

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:

2.0ms	(sinh y)
7.0ms	(/ 1 (sinh y))
15.0ms	(/ (sin x) x)
31.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sinh y)
83.0ms	(/ 1 (sinh y))
31.0ms	(/ (sin x) x)
109.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify1.5s

Counts

312 → 312

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	499	5813
1	1324	4774
2	3164	4385
done	5001	4379

prune601.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.6s	1835×	body	1280	valid
873.0ms	1879×	body	640	valid
851.0ms	10312×	body	80	valid
409.0ms	1175×	body	320	valid
137.0ms	572×	body	160	valid