Details

sample162.0ms

Algorithm

intervals

Results

67.0ms	67×	body	1280	valid
27.0ms	72×	body	640	valid
25.0ms	326×	body	80	valid
9.0ms	36×	body	320	valid
4.0ms	26×	body	160	valid

simplify11.5s

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	146	7
5	287	7
6	519	7
7	1124	7
8	2229	7
9	3908	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
13.8b	(/ (* (sin x) (sinh y)) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sinh-def` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

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

series271.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* (sin x) (sinh y))
157.0ms	(/ (* (sin x) (sinh y)) x)

simplify4.6s

Counts

51 → 51

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	112	500
1	260	477
2	983	410
3	4950	384
done	5000	384

prune171.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/ (sinh y) x)
22.0ms	(* (sin x) (/ (sinh y) x))

series238.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (sinh y) x)
142.0ms	(* (sin x) (/ (sinh y) x))

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	136	698
1	315	658
2	1019	591
3	3450	590
done	5000	589

prune284.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ 1 (cbrt x)) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
144×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
141×	`cbrt-prod`
22×	`associate-/l*`
13×	`add-exp-log`
8×	`div-inv`
7×	`pow1`
6×	`div-exp` `associate-/r*` `add-cbrt-cube`
5×	`pow1/3`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-div`
2×	`pow-flip`
1×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `inv-pow`

Counts

4 → 221

Calls

4 calls:

18.0ms	(/ (/ 1 (cbrt x)) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

308.0ms	(/ (/ 1 (cbrt x)) (cbrt x))
272.0ms	(cbrt x)
208.0ms	(cbrt x)
267.0ms	(cbrt x)

simplify2.3s

Counts

233 → 233

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	285	3343
1	616	2844
2	902	2563
3	2331	2511
done	5001	2463

prune615.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
13.8b	(* (* (sin x) (sinh y)) (/ 1 x))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`sinh-def`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

25.0ms	(* (sin x) (sinh y))
46.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

series317.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(* (sin x) (sinh y))
169.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

simplify4.3s

Counts

69 → 69

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	148	793
1	375	664
2	1205	551
3	4547	549
done	5000	548

prune183.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.0s	1839×	body	1280	valid
1.2s	10283×	body	80	valid
808.0ms	1947×	body	640	valid
312.0ms	1076×	body	320	valid
96.0ms	567×	body	160	valid