Details

sample104.0ms

Algorithm

intervals

Results

40.0ms	85×	body	1280	valid
18.0ms	63×	body	640	valid
15.0ms	250×	body	80	valid
11.0ms	56×	body	320	valid
3.0ms	23×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5012
9	4149
8	1946
7	941
6	316
5	142
4	89
3	50
2	28
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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` `cosh-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:

21.0ms	(* (cosh x) (/ (sin y) y))
14.0ms	(/ (sin y) y)

series147.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (cosh x) (/ (sin y) y))
36.0ms	(/ (sin y) y)

simplify1.9s

Counts

71 → 71

Iterations

Iter	Nodes
done	5016
3	3295
2	983
1	282
0	124

prune433.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.2b	(/ y (sin y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 184

Calls

3 calls:

39.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
9.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))

series140.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
32.0ms	(/ 1 (/ y (sin y)))
30.0ms	(/ y (sin y))

simplify2.1s

Counts

193 → 193

Iterations

Iter	Nodes
done	5002
2	1955
1	695
0	265

prune741.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cosh x) y)
0.1b	(/ 1 (sin y))
0.3b	(/ 1 (/ 1 (sin y)))
0.3b	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

195×	`times-frac`
149×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
108×	`add-exp-log`
104×	`add-cube-cbrt`
58×	`div-exp`
44×	`associate-r`
34×	`add-cbrt-cube`
26×	`prod-exp`
22×	`rec-exp` `1-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `unswap-sqr`
13×	`associate-l`
12×	`div-inv`
9×	`pow1` `associate-/l*`
6×	`cbrt-unprod`
5×	`pow-flip`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `inv-pow`
2×	`associate-/r/`
1×	`frac-times` `cosh-def` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `remove-double-div` `associate-/l/`

Counts

4 → 268

Calls

4 calls:

8.0ms	(/ (cosh x) y)
8.0ms	(/ 1 (sin y))
16.0ms	(/ 1 (/ 1 (sin y)))
52.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (cosh x) y)
31.0ms	(/ 1 (sin y))
14.0ms	(/ 1 (/ 1 (sin y)))
84.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

simplify2.0s

Counts

280 → 280

Iterations

Iter	Nodes
done	5001
2	2165
1	981
0	353

prune888.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

6.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
37.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series867.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (/ y (sin y)))
205.0ms	(cbrt (/ y (sin y)))
197.0ms	(cbrt (/ y (sin y)))
261.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify3.1s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
4	4994
3	1548
2	682
1	321
0	173

prune1.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes443.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.1s	3028×	body	1280	valid
1.1s	2417×	body	640	valid
788.0ms	8479×	body	80	valid
316.0ms	1326×	body	320	valid
91.0ms	643×	body	160	valid