Details

sample124.0ms

Algorithm

intervals

Results

35.0ms	67×	body	1280	valid
25.0ms	325×	body	80	valid
23.0ms	63×	body	640	valid
9.0ms	40×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	4266
6	847
5	280
4	144
3	69
2	32
1	15
0	6

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 110

Calls

3 calls:

4.0ms	(/ x (sinh y))
1.0ms	(sinh y)
11.0ms	(/ (sin x) (/ x (sinh y)))

series397.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(/ x (sinh y))
83.0ms	(sinh y)
153.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
2	2642
1	530
0	215

prune707.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
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` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 69

Calls

3 calls:

2.0ms	(sinh y)
27.0ms	(* (/ (sin x) x) (sinh y))
12.0ms	(/ (sin x) x)

series303.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(sinh y)
141.0ms	(* (/ (sin x) x) (sinh y))
63.0ms	(/ (sin x) x)

simplify917.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1481
1	327
0	134

prune504.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ (sin x) (cbrt x)) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
144×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
141×	`cbrt-prod`
22×	`associate-/l*`
9×	`add-exp-log`
8×	`div-inv`
6×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 208

Calls

4 calls:

32.0ms	(/ (/ (sin x) (cbrt x)) (cbrt x))
2.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

296.0ms	(/ (/ (sin x) (cbrt x)) (cbrt x))
286.0ms	(cbrt x)
258.0ms	(cbrt x)
566.0ms	(cbrt x)

simplify1.6s

Counts

220 → 220

Iterations

Iter	Nodes
done	5000
2	3913
1	735
0	298

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.6b	(* (/ 1 x) (* (sin x) (sinh y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(* (sin x) (sinh y))
46.0ms	(* (/ 1 x) (* (sin x) (sinh y)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(sinh y)
134.0ms	(* (sin x) (sinh y))
146.0ms	(* (/ 1 x) (* (sin x) (sinh y)))

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	2312
1	410
0	147

prune251.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.4s	1869×	body	1280	valid
1.0s	10360×	body	80	valid
1.0s	1980×	body	640	valid
249.0ms	1107×	body	320	valid
85.0ms	567×	body	160	valid