Details

sample79.0ms

Algorithm

intervals

Results

30.0ms	95×	body	1280	valid
17.0ms	91×	body	640	valid
12.0ms	290×	body	80	valid
5.0ms	35×	body	320	valid
2.0ms	17×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	27	7
3	53	7
4	96	7
5	137	7
6	249	7
7	538	7
8	1153	7
9	1833	7
10	2215	7
11	2315	7
done	2315	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sin y) y)
0.2b	(* (cosh x) (/ (sin y) y))

rewrite13.0ms

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

3.0ms	(/ (sin y) y)
8.0ms	(* (cosh x) (/ (sin y) y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (sin y) y)
74.0ms	(* (cosh x) (/ (sin y) y))

simplify2.6s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	124	689
1	269	656
2	892	592
3	4065	590
done	5000	590

prune187.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 184

Calls

3 calls:

2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))
21.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series122.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))
71.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify1.3s

Counts

193 → 193

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	265	2378
1	627	1894
2	1488	1643
done	5000	1613

prune403.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
0.2b	(/ (cosh x) y)
0.3b	(/ 1 (/ 1 (sin y)))

rewrite56.0ms

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×	`frac-2neg` `clear-num` `inv-pow`
2×	`associate-/r/`
1×	`frac-times` `cosh-def` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `associate-/l/` `remove-double-div`

Counts

4 → 268

Calls

4 calls:

3.0ms	(/ 1 (sin y))
33.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
2.0ms	(/ (cosh x) y)
6.0ms	(/ 1 (/ 1 (sin y)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1 (sin y))
72.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
58.0ms	(/ (cosh x) y)
7.0ms	(/ 1 (/ 1 (sin y)))

simplify1.2s

Counts

280 → 280

Iterations

Useful iterations: 2 (601.0ms)

Iter	Nodes	Cost
0	353	3622
1	988	2243
2	2098	2062
done	5000	2062

prune442.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(expm1 (sin y))
0.2b	(log1p (expm1 (sin y)))
0.2b	(* (/ (cosh x) y) (log1p (expm1 (sin y))))
0.2b	(/ (cosh x) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`log1p-udef` `expm1-log1p` `cosh-def` `frac-2neg` `log1p-expm1` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/` `expm1-udef`

Counts

4 → 86

Calls

4 calls:

0.0ms	(expm1 (sin y))
0.0ms	(log1p (expm1 (sin y)))
7.0ms	(* (/ (cosh x) y) (log1p (expm1 (sin y))))
3.0ms	(/ (cosh x) y)

series309.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(expm1 (sin y))
110.0ms	(log1p (expm1 (sin y)))
103.0ms	(* (/ (cosh x) y) (log1p (expm1 (sin y))))
59.0ms	(/ (cosh x) y)

simplify2.3s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	163	915
1	350	770
2	972	696
3	3630	691
done	5001	691

prune263.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes162.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.4s

Algorithm

intervals

Results

915.0ms	2957×	body	1280	valid
494.0ms	2446×	body	640	valid
396.0ms	8574×	body	80	valid
166.0ms	1192×	body	320	valid
60.0ms	602×	body	160	valid