Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	67×	body	1280	valid
16.0ms	326×	body	80	valid
15.0ms	72×	body	640	valid
5.0ms	36×	body	320	valid
3.0ms	26×	body	160	valid

simplify13.5s

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	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 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` `sinh-def` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

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

series209.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* (sin x) (sinh y))
112.0ms	(/ (* (sin x) (sinh y)) x)

simplify4.1s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	108	472
1	252	451
2	957	384
3	4810	358
done	5000	358

prune158.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 60

Calls

2 calls:

8.0ms	(/ (sinh y) x)
35.0ms	(* (sin x) (/ (sinh y) x))

series225.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (sinh y) x)
127.0ms	(* (sin x) (/ (sinh y) x))

simplify2.7s

Counts

66 → 66

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	132	672
1	305	634
2	991	568
3	3337	566
done	5001	566

prune257.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt x) (cbrt x))
307.0ms	(cbrt x)
304.0ms	(cbrt x)
331.0ms	(cbrt x)

simplify5.4s

Counts

85 → 85

Iterations

Useful iterations: done (5.4s)

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

prune366.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

30.0ms	(* (sin x) (sinh y))
36.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

series316.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(* (sin x) (sinh y))
178.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

simplify4.3s

Counts

65 → 65

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	144	761
1	366	638
2	1175	525
3	4389	523
done	5001	523

prune141.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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

sample4.9s

Algorithm

intervals

Results

1.5s	1947×	body	640	valid
1.3s	10283×	body	80	valid
993.0ms	1839×	body	1280	valid
309.0ms	1076×	body	320	valid
133.0ms	567×	body	160	valid