Details

sample199.0ms

Algorithm

intervals

Results

67.0ms	90×	body	1280	valid
48.0ms	87×	body	640	valid
48.0ms	256×	body	80	valid
13.0ms	33×	body	320	valid
6.0ms	24×	body	160	valid

simplify2.8s

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: 0.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.5b	(* (cosh x) (/ (sin y) y))

rewrite29.0ms

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` `insert-posit16` `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 → 67

Calls

2 calls:

11.0ms	(/ (sin y) y)
17.0ms	(* (cosh x) (/ (sin y) y))

series144.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (sin y) y)
105.0ms	(* (cosh x) (/ (sin y) y))

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5154
3	3957
2	990
1	283
0	126

prune307.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
0.5b	(* (cosh x) (/ 1 (/ y (sin y))))

rewrite50.0ms

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` `insert-posit16` `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 → 187

Calls

3 calls:

8.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))
26.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series200.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ y (sin y))
48.0ms	(/ 1 (/ y (sin y)))
111.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify1.7s

Counts

196 → 196

Iterations

Iter	Nodes
done	5001
2	2065
1	695
0	268

prune597.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin y))
0.5b	(/ 1 (/ 1 (sin y)))
0.5b	(/ (cosh x) y)
0.5b	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

rewrite75.0ms

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` `insert-posit16` `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 → 272

Calls

4 calls:

9.0ms	(/ 1 (sin y))
17.0ms	(/ 1 (/ 1 (sin y)))
9.0ms	(/ (cosh x) y)
34.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (sin y))
11.0ms	(/ 1 (/ 1 (sin y)))
72.0ms	(/ (cosh x) y)
111.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

simplify1.9s

Counts

284 → 284

Iterations

Iter	Nodes
done	5000
2	2140
1	986
0	357

prune753.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (* y (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.5b	(* y (/ 1 (sin y)))
0.5b	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r` `associate-r/` `associate-/r/` `un-div-inv` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-flip`
2×	`cosh-def` `clear-num` `frac-2neg` `*-commutative` `inv-pow`
1×	`frac-times` `associate-*l/`

Counts

4 → 165

Calls

4 calls:

24.0ms	(/ 1 (* y (/ 1 (sin y))))
9.0ms	(/ 1 (sin y))
19.0ms	(* y (/ 1 (sin y)))
40.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1 (* y (/ 1 (sin y))))
22.0ms	(/ 1 (sin y))
44.0ms	(* y (/ 1 (sin y)))
90.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

simplify1.6s

Counts

177 → 177

Iterations

Iter	Nodes
done	5001
2	1469
1	539
0	225

prune429.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes292.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.9s	3027×	body	1280	valid
2.1s	2557×	body	640	valid
1.2s	8449×	body	80	valid
514.0ms	1214×	body	320	valid
152.0ms	622×	body	160	valid