Details

sample136.0ms

Algorithm

intervals

Results

43.0ms	89×	body	1280	valid
35.0ms	80×	body	640	valid
19.0ms	260×	body	80	valid
11.0ms	48×	body	320	valid
4.0ms	25×	body	160	valid

simplify7.2s

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	96	7
5	137	7
6	211	7
7	393	7
8	942	7
9	1761	7
10	2051	7
11	2171	7
done	2171	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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

Counts

2 → 61

Calls

2 calls:

17.0ms	(/ (sin y) y)
19.0ms	(* (cosh x) (/ (sin y) y))

series182.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (sin y) y)
146.0ms	(* (cosh x) (/ (sin y) y))

simplify3.0s

Counts

67 → 67

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	120	663
1	255	632
2	841	568
3	3026	568
done	5000	556

prune245.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
0.5b	(* (cosh x) (/ 1 (/ y (sin y))))

rewrite119.0ms

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×	`associate-l` `cbrt-unprod` `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 → 178

Calls

3 calls:

10.0ms	(/ y (sin y))
21.0ms	(/ 1 (/ y (sin y)))
72.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series174.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))
112.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify3.5s

Counts

187 → 187

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	259	2334
1	580	1858
2	1406	1611
3	4527	1581
done	5000	1581

prune434.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
0.5b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 479

Calls

3 calls:

10.0ms	(/ 1 (sin y))
20.0ms	(/ (/ 1 y) (/ 1 (sin y)))
106.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

series155.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (sin y))
31.0ms	(/ (/ 1 y) (/ 1 (sin y)))
99.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

simplify2.1s

Counts

488 → 488

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	624	8547
1	1630	5947
2	3165	5063
done	5000	4983

prune793.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.7b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite51.0ms

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` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

11.0ms	(* (cosh x) (sin y))
38.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series511.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (cosh x) (sin y))
420.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify3.3s

Counts

65 → 65

Iterations

Useful iterations: 2 (254.0ms)

Iter	Nodes	Cost
0	140	753
1	339	625
2	1057	521
3	3951	521
done	5000	521

prune180.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes192.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.6s	2909×	body	1280	valid
1.2s	2394×	body	640	valid
959.0ms	8447×	body	80	valid
337.0ms	1291×	body	320	valid
82.0ms	631×	body	160	valid