Details

sample75.0ms

Algorithm

intervals

Results

28.0ms	94×	body	1280	valid
14.0ms	81×	body	640	valid
14.0ms	257×	body	80	valid
4.0ms	30×	body	320	valid
2.0ms	22×	body	160	valid

simplify6.2s

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	98	7
5	154	7
6	306	7
7	750	7
8	1539	7
9	3333	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

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

series101.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (cosh x) (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify486.0ms

Counts

71 → 71

Iterations

Useful iterations: done (485.0ms)

Iter	Nodes	Cost
0	124	689
1	276	656
2	1095	592
done	5000	576

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:

20.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
26.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))

simplify1.5s

Counts

193 → 193

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	265	2378
1	641	2016
2	2477	1643
done	5000	1627

prune361.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

4.0ms	(* (cosh x) (sin y))
13.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series144.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (cosh x) (sin y))
75.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify1.1s

Counts

69 → 69

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	144	785
1	385	669
2	1583	547
done	5000	517

prune136.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite30.0ms

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:

1.0ms	(cbrt (/ y (sin y)))
1.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
20.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (/ y (sin y)))
133.0ms	(cbrt (/ y (sin y)))
137.0ms	(cbrt (/ y (sin y)))
172.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify2.7s

Counts

164 → 164

Iterations

Useful iterations: 3 (547.0ms)

Iter	Nodes	Cost
0	173	2275
1	295	2136
2	1028	2056
3	4720	1946
done	5000	1946

prune577.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

915.0ms	3027×	body	1280	valid
473.0ms	2559×	body	640	valid
375.0ms	8565×	body	80	valid
159.0ms	1230×	body	320	valid
55.0ms	583×	body	160	valid