Details

sample117.0ms

Algorithm

intervals

Results

36.0ms	73×	body	640	valid
25.0ms	64×	body	1280	valid
25.0ms	356×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.4s

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	281	7
6	847	7
7	4286	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.6b	(/ (* (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)
12.0ms	(* (sin x) (sinh y))
15.0ms	(/ (* (sin x) (sinh y)) x)

series355.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(sinh y)
140.0ms	(* (sin x) (sinh y))
133.0ms	(/ (* (sin x) (sinh y)) x)

simplify860.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	117	538
1	293	516
2	1599	448
done	5002	448

prune214.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.6b	(/ (sin x) (/ x (sinh y)))

rewrite42.0ms

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))
2.0ms	(sinh y)
23.0ms	(/ (sin x) (/ x (sinh y)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(/ x (sinh y))
67.0ms	(sinh y)
136.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.2s

Counts

119 → 119

Iterations

Useful iterations: 2 (323.0ms)

Iter	Nodes	Cost
0	215	1544
1	532	1472
2	2649	1388
done	5000	1388

prune357.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

2.0ms	(sinh y)
29.0ms	(* (/ (sin x) x) (sinh y))
13.0ms	(/ (sin x) x)

series270.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sinh y)
130.0ms	(* (/ (sin x) x) (sinh y))
43.0ms	(/ (sin x) x)

simplify1.0s

Counts

78 → 78

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	134	716
1	328	695
2	1439	634
done	5000	628

prune270.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y))))
13.9b	(cbrt (* (/ (sin x) x) (sinh y)))
13.9b	(cbrt (* (/ (sin x) x) (sinh y)))
13.9b	(cbrt (* (/ (sin x) x) (sinh y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
22×	`sinh-def`
20×	`frac-times`
14×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

36.0ms	(* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y))))
11.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
11.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
13.0ms	(cbrt (* (/ (sin x) x) (sinh y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

386.0ms	(* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y))))
311.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
370.0ms	(cbrt (* (/ (sin x) x) (sinh y)))
360.0ms	(cbrt (* (/ (sin x) x) (sinh y)))

simplify656.0ms

Counts

94 → 94

Iterations

Useful iterations: done (652.0ms)

Iter	Nodes	Cost
0	153	1620
1	375	1498
2	1317	1363
done	5000	1276

prune386.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.2s	1743×	body	1280	valid
936.0ms	10134×	body	80	valid
736.0ms	1992×	body	640	valid
576.0ms	1116×	body	320	valid
92.0ms	605×	body	160	valid