Details

sample82.0ms

Algorithm

intervals

Results

33.0ms	95×	body	1280	valid
16.0ms	91×	body	640	valid
12.0ms	290×	body	80	valid
4.0ms	35×	body	320	valid
1.0ms	17×	body	160	valid

simplify2.2s

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	140	7
6	258	7
7	537	7
8	1155	7
9	2021	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

3.0ms	(/ (sin y) y)
9.0ms	(* (cosh x) (/ (sin y) y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (sin y) y)
75.0ms	(* (cosh x) (/ (sin y) y))

simplify652.0ms

Counts

71 → 71

Iterations

Useful iterations: done (650.0ms)

Iter	Nodes	Cost
0	124	689
1	269	656
2	938	592
done	5001	576

prune171.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.4b	(/ (cosh x) (/ y (sin y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def` `associate-/r/` `associate-/l/`

Counts

2 → 102

Calls

2 calls:

2.0ms	(/ y (sin y))
6.0ms	(/ (cosh x) (/ y (sin y)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ y (sin y))
73.0ms	(/ (cosh x) (/ y (sin y)))

simplify633.0ms

Counts

108 → 108

Iterations

Useful iterations: done (630.0ms)

Iter	Nodes	Cost
0	193	1422
1	419	1338
2	1477	1264
done	5001	1252

prune282.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`cosh-def` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (/ (cosh x) y) (sin y))
58.0ms	(/ (cosh x) y)

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (730.0ms)

Iter	Nodes	Cost
0	132	675
1	290	649
2	813	582
3	4418	557
done	5000	557

prune177.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
215×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `div-inv`
19×	`div-exp` `associate-/r` `add-cbrt-cube` `associate-/l`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`cosh-def` `pow-flip` `associate-/r/` `inv-pow`

Counts

3 → 284

Calls

3 calls:

2.0ms	(/ 1 (sin y))
11.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))
3.0ms	(/ (cosh x) y)

series146.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1 (sin y))
73.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))
60.0ms	(/ (cosh x) y)

simplify1.5s

Counts

293 → 293

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	474	5486
1	1332	4470
2	3530	4096
done	5000	4088

prune426.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.2b

regimes166.0ms

Accuracy

0% (0.2b 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
done	6	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

891.0ms	2957×	body	1280	valid
464.0ms	2446×	body	640	valid
379.0ms	8574×	body	80	valid
157.0ms	1192×	body	320	valid
53.0ms	602×	body	160	valid