Details

sample93.0ms

Algorithm

intervals

Results

21.0ms	48×	body	1280	valid
21.0ms	335×	body	80	valid
19.0ms	66×	body	640	valid
6.0ms	32×	body	320	valid
3.0ms	22×	body	160	valid

simplify13.9s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.1b	(/ (* (sin x) (sinh y)) x)

rewrite31.0ms

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

series448.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(sinh y)
170.0ms	(* (sin x) (sinh y))
179.0ms	(/ (* (sin x) (sinh y)) x)

simplify4.5s

Counts

58 → 58

Iterations

Useful iterations: 3 (2.3s)

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

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

2 → 40

Calls

2 calls:

3.0ms	(sinh y)
39.0ms	(* (/ (sinh y) x) (sin x))

series242.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(sinh y)
136.0ms	(* (/ (sinh y) x) (sin x))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: 3 (824.0ms)

Iter	Nodes	Cost
0	107	445
1	254	433
2	716	378
3	2366	376
done	5001	376

prune162.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
1.0b	(/ (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:

6.0ms	(/ x (sinh y))
1.0ms	(sinh y)
18.0ms	(/ (sin x) (/ x (sinh y)))

series394.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(/ x (sinh y))
85.0ms	(sinh y)
138.0ms	(/ (sin x) (/ x (sinh y)))

simplify4.0s

Counts

119 → 119

Iterations

Useful iterations: 3 (2.4s)

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

prune472.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)

rewrite29.0ms

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:

15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt x) (cbrt x))
336.0ms	(cbrt x)
279.0ms	(cbrt x)
292.0ms	(cbrt x)

simplify5.0s

Counts

85 → 85

Iterations

Useful iterations: done (5.0s)

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

prune391.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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

sample4.8s

Algorithm

intervals

Results

1.4s	10295×	body	80	valid
1.1s	1893×	body	1280	valid
1.1s	1938×	body	640	valid
312.0ms	1145×	body	320	valid
147.0ms	611×	body	160	valid