Details

sample74.0ms

Algorithm

intervals

Results

29.0ms	98×	body	1280	valid
13.0ms	74×	body	640	valid
11.0ms	268×	body	80	valid
6.0ms	43×	body	320	valid
2.0ms	21×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

7.0ms	(* (cosh x) (/ (sin y) y))
1.0ms	(cosh x)
4.0ms	(/ (sin y) y)

series155.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (cosh x) (/ (sin y) y))
44.0ms	(cosh x)
31.0ms	(/ (sin y) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	291	432
1	1116	386
2	5002	364

prune187.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

8.0ms	(* (cosh x) (/ (sin y) y))
1.0ms	(cosh x)
4.0ms	(/ (sin y) y)

series149.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (cosh x) (/ (sin y) y))
48.0ms	(cosh x)
26.0ms	(/ (sin y) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	291	432
1	1116	386
2	5002	364

prune192.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`cosh-def` `associate-l` `cbrt-unprod`
2×	`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

4 → 186

Calls

4 calls:

19.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
1.0ms	(cosh x)
6.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
51.0ms	(cosh x)
26.0ms	(/ 1 (/ y (sin y)))
23.0ms	(/ y (sin y))

simplify81.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	644	1361
1	3041	1186
2	5001	1053

prune397.0ms

Filtered

198 candidates to 125 candidates (63.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	198	9	207

Merged error: 0.0b

Counts

207 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
427×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-cube-cbrt`
174×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
36×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`cosh-def` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 487

Calls

4 calls:

43.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
1.0ms	(cosh x)
4.0ms	(/ 1 (sin y))
16.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
55.0ms	(cosh x)
13.0ms	(/ 1 (sin y))
27.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1854	4758
1	5001	4122

prune921.0ms

Filtered

499 candidates to 269 candidates (53.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	496	3	499
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	499	9	508

Merged error: 0b

Counts

508 → 9

regimes168.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	14	4
2	14	4

end0.0ms

sample2.3s

Algorithm

intervals

Results

935.0ms	3059×	body	1280	valid
450.0ms	2379×	body	640	valid
366.0ms	8516×	body	80	valid
155.0ms	1193×	body	320	valid
57.0ms	632×	body	160	valid