Details

sample152.0ms

Algorithm

intervals

Results

46.0ms	89×	body	1280	valid
45.0ms	86×	body	640	valid
23.0ms	297×	body	80	valid
10.0ms	44×	body	320	valid
3.0ms	20×	body	160	valid

simplify8.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:

40.0ms	(* (cosh x) (/ (sin y) y))
11.0ms	(/ (sin y) y)

series174.0ms

Counts

2 → 6

Calls

2 calls:

129.0ms	(* (cosh x) (/ (sin y) y))
45.0ms	(/ (sin y) y)

simplify2.7s

Counts

71 → 71

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	868	592
3	3123	590
done	5000	578

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
5×	`associate-*r/`
4×	`div-exp` `pow-prod-down`
3×	`cosh-def` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 67

Calls

2 calls:

58.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
35.0ms	(* (sin y) (/ 1 y))

series151.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
35.0ms	(* (sin y) (/ 1 y))

simplify2.6s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	140	787
1	319	620
2	907	506
3	2987	504
done	5001	504

prune192.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

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:

61.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
13.0ms	(/ 1 (/ y (sin y)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
39.0ms	(/ y (sin y))
34.0ms	(/ 1 (/ y (sin y)))

simplify3.6s

Counts

193 → 193

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	265	2378
1	592	1894
2	1437	1643
3	4623	1611
done	5000	1611

prune454.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.5b	(cbrt (/ y (sin y)))
0.5b	(cbrt (/ y (sin y)))
0.5b	(cbrt (/ y (sin y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

40.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))

series788.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
159.0ms	(cbrt (/ y (sin y)))
186.0ms	(cbrt (/ y (sin y)))
237.0ms	(cbrt (/ y (sin y)))

simplify2.7s

Counts

164 → 164

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	173	2275
1	291	2132
2	738	2056
3	1528	1946
4	4043	1928
done	5000	1817

prune571.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes193.0ms

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

sample4.8s

Algorithm

intervals

Results

1.4s	3074×	body	1280	valid
1.2s	2464×	body	640	valid
771.0ms	8610×	body	80	valid
695.0ms	1278×	body	320	valid
82.0ms	641×	body	160	valid