Details

sample131.0ms

Algorithm

intervals

Results

33.0ms	54×	body	1280	valid
31.0ms	354×	body	80	valid
25.0ms	58×	body	640	valid
10.0ms	36×	body	320	valid
3.0ms	15×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4195
6	882
5	295
4	146
3	69
2	32
1	15
0	6

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

19.0ms	(* (sinh y) (/ (sin x) x))
13.0ms	(/ (sin x) x)

series162.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(* (sinh y) (/ (sin x) x))
36.0ms	(/ (sin x) x)

simplify757.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1440
1	308
0	128

prune399.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sin x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-prod`
18×	`times-frac`
6×	`associate-/r*` `add-exp-log`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 80

Calls

4 calls:

7.0ms	(/ (sin x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

263.0ms	(/ (sin x) (cbrt x))
283.0ms	(cbrt x)
244.0ms	(cbrt x)
221.0ms	(cbrt x)

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	2576
2	644
1	195
0	103

prune559.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (sinh y) (cbrt x)) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt (/ 1 x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
151×	`cbrt-prod`
150×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`associate-/l*`
9×	`add-exp-log` `div-inv`
6×	`associate-/r*` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`cbrt-div` `clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 227

Calls

4 calls:

27.0ms	(/ (/ (sinh y) (cbrt x)) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(cbrt (/ 1 x))

series968.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(/ (/ (sinh y) (cbrt x)) (cbrt x))
223.0ms	(cbrt x)
263.0ms	(cbrt x)
263.0ms	(cbrt (/ 1 x))

simplify1.3s

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
2	3501
1	799
0	356

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (sin x)) (cbrt (sin x)))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

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

series461.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
106.0ms	(cbrt (sin x))
109.0ms	(cbrt (sin x))
127.0ms	(cbrt (sin x))

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	717
1	182
0	79

prune423.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes249.0ms

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

sample3.8s

Algorithm

intervals

Results

1.3s	1953×	body	1280	valid
1.1s	10324×	body	80	valid
658.0ms	2049×	body	640	valid
241.0ms	1105×	body	320	valid
97.0ms	615×	body	160	valid