Details

sample175.0ms

Algorithm

intervals

Results

53.0ms	260×	body	80	valid
51.0ms	89×	body	1280	valid
28.0ms	80×	body	640	valid
12.0ms	48×	body	320	valid
4.0ms	25×	body	160	valid

simplify8.3s

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	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

9.0ms	(/ (sin y) y)
25.0ms	(* (cosh x) (/ (sin y) y))

series148.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (sin y) y)
116.0ms	(* (cosh x) (/ (sin y) y))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	863	592
3	3123	590
done	5000	590

prune256.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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` `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:

8.0ms	(/ (sin y) y)
28.0ms	(* (/ (sin y) y) (cosh x))

series186.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (sin y) y)
141.0ms	(* (/ (sin y) y) (cosh x))

simplify2.3s

Counts

71 → 71

Iterations

Useful iterations: 3 (896.0ms)

Iter	Nodes	Cost
0	125	672
1	276	645
2	783	585
3	2534	583
done	5000	583

prune182.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
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-r` `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/` `*-commutative` `inv-pow`

Counts

3 → 183

Calls

3 calls:

6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
42.0ms	(* (/ 1 (/ y (sin y))) (cosh x))

series159.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))
93.0ms	(* (/ 1 (/ y (sin y))) (cosh x))

simplify3.1s

Counts

192 → 192

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	264	2289
1	600	1878
2	1446	1631
3	4418	1599
done	5001	1599

prune575.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-l`
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-r` `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:

7.0ms	(/ 1 (sin y))
20.0ms	(/ (/ 1 y) (/ 1 (sin y)))
107.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) (cosh x))

series178.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ 1 (sin y))
40.0ms	(/ (/ 1 y) (/ 1 (sin y)))
115.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) (cosh x))

simplify2.1s

Counts

494 → 494

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	608	8118
1	1647	6119
2	2998	5006
done	5000	4924

prune1.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

regimes212.0ms

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

sample4.7s

Algorithm

intervals

Results

2.0s	2909×	body	1280	valid
838.0ms	8447×	body	80	valid
828.0ms	2394×	body	640	valid
274.0ms	1291×	body	320	valid
89.0ms	631×	body	160	valid