Details

sample138.0ms

Algorithm

intervals

Results

46.0ms	89×	body	1280	valid
29.0ms	86×	body	640	valid
23.0ms	297×	body	80	valid
10.0ms	44×	body	320	valid
3.0ms	20×	body	160	valid

simplify7.3s

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: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:

16.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series160.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (cosh x) (/ (sin y) y))
35.0ms	(/ (sin y) y)

simplify2.7s

Counts

67 → 67

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	120	663
1	255	632
2	838	568
3	3058	568
done	5000	556

prune218.0ms

Pruning

6 alts after pruning (5 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))

rewrite75.0ms

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` `frac-times` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 63

Calls

2 calls:

46.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
27.0ms	(* (sin y) (/ 1 y))

series130.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
39.0ms	(* (sin y) (/ 1 y))

simplify2.8s

Counts

69 → 69

Iterations

Useful iterations: 2 (229.0ms)

Iter	Nodes	Cost
0	136	753
1	311	596
2	881	482
3	2936	482
done	5000	482

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite105.0ms

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:

62.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
19.0ms	(/ 1 (/ y (sin y)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
38.0ms	(/ y (sin y))
38.0ms	(/ 1 (/ y (sin y)))

simplify3.0s

Counts

187 → 187

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	259	2334
1	580	1858
2	1415	1611
3	4524	1581
done	5000	1581

prune336.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

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:

80.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
6.0ms	(/ 1 (sin y))
20.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
14.0ms	(/ 1 (sin y))
35.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.2s

Counts

488 → 488

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	624	8547
1	1629	5947
2	3152	5063
done	5001	4983

prune982.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes198.0ms

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

sample5.4s

Algorithm

intervals

Results

2.1s	3074×	body	1280	valid
964.0ms	2464×	body	640	valid
789.0ms	8610×	body	80	valid
780.0ms	1278×	body	320	valid
128.0ms	641×	body	160	valid