Details

sample62.0ms

Algorithm

intervals

Results

19.0ms	69×	body	1280	valid
12.0ms	321×	body	80	valid
9.0ms	55×	body	640	valid
4.0ms	36×	body	320	valid
1.0ms	13×	body	160	valid

simplify9.8s

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: 15.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (sinh y))
15.1b	(/ (* (sin x) (sinh y)) x)

rewrite29.0ms

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

series299.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
88.0ms	(* (sin x) (sinh y))
148.0ms	(/ (* (sin x) (sinh y)) x)

simplify2.7s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.4s)

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

prune129.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

7.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
17.0ms	(* (sin x) (/ (sinh y) x))

series238.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (sinh y) x)
63.0ms	(sinh y)
99.0ms	(* (sin x) (/ (sinh y) x))

simplify1.7s

Counts

77 → 77

Iterations

Useful iterations: done (1.7s)

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

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series739.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt x) (cbrt x))
181.0ms	(cbrt x)
183.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify3.4s

Counts

85 → 85

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune206.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
1.2b	(/ (sin x) (/ x (sinh y)))

rewrite28.0ms

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:

1.0ms	(sinh y)
5.0ms	(/ x (sinh y))
17.0ms	(/ (sin x) (/ x (sinh y)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
117.0ms	(/ x (sinh y))
103.0ms	(/ (sin x) (/ x (sinh y)))

simplify2.3s

Counts

119 → 119

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	215	1544
1	453	1456
2	1433	1377
3	4772	1359
done	5000	1359

prune274.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b 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

sample2.0s

Algorithm

intervals

Results

498.0ms	1853×	body	1280	valid
389.0ms	10254×	body	80	valid
363.0ms	1148×	body	320	valid
344.0ms	1911×	body	640	valid
48.0ms	587×	body	160	valid