Details

sample178.0ms

Algorithm

intervals

Results

65.0ms	96×	body	1280	valid
38.0ms	87×	body	640	valid
25.0ms	255×	body	80	valid
13.0ms	42×	body	320	valid
3.0ms	17×	body	160	valid

simplify1.7s

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	100	7
5	187	7
6	761	7
done	5000	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:

34.0ms	(* (cosh x) (/ (sin y) y))
18.0ms	(/ (sin y) y)

series186.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(* (cosh x) (/ (sin y) y))
52.0ms	(/ (sin y) y)

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	124	689
1	282	656
2	1254	592
done	5000	590

prune497.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

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:

60.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
11.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
49.0ms	(/ y (sin y))
51.0ms	(/ 1 (/ y (sin y)))

simplify772.0ms

Counts

193 → 193

Iterations

Useful iterations: done (763.0ms)

Iter	Nodes	Cost
0	265	2378
1	704	1908
done	5001	1772

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (* (cosh x) (/ (sin y) y))))
0.0b	(log1p (* (cosh x) (/ (sin y) y)))
0.0b	(* (cosh x) (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

0.0ms	(expm1 (log1p (* (cosh x) (/ (sin y) y))))
1.0ms	(log1p (* (cosh x) (/ (sin y) y)))
33.0ms	(* (cosh x) (/ (sin y) y))
28.0ms	(/ (sin y) y)

series761.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(expm1 (log1p (* (cosh x) (/ (sin y) y))))
299.0ms	(log1p (* (cosh x) (/ (sin y) y)))
150.0ms	(* (cosh x) (/ (sin y) y))
51.0ms	(/ (sin y) y)

simplify3.0s

Counts

99 → 99

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	226	1293
1	593	1192
2	3643	1087
done	5001	1078

prune836.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite293.0ms

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×	`expm1-log1p-u` `associate-l` `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/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 485

Calls

3 calls:

167.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
15.0ms	(/ 1 (sin y))
41.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
33.0ms	(/ 1 (sin y))
67.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.2s

Counts

494 → 494

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	630	8599
1	2228	6196
done	5000	5694

prune2.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes463.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.4s	3011×	body	1280	valid
1.6s	2433×	body	640	valid
1.2s	8575×	body	80	valid
1.1s	1264×	body	320	valid
126.0ms	604×	body	160	valid