Details

sample110.0ms

Algorithm

intervals

Results

40.0ms	96×	body	1280	valid
19.0ms	71×	body	640	valid
17.0ms	249×	body	80	valid
9.0ms	48×	body	320	valid
4.0ms	28×	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	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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×	`expm1-log1p-u` `cosh-def` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 75

Calls

3 calls:

1.0ms	(cosh x)
24.0ms	(* (cosh x) (/ (sin y) y))
11.0ms	(/ (sin y) y)

series209.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(cosh x)
116.0ms	(* (cosh x) (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	136	761
1	290	725
2	917	657
3	3192	655
done	5000	643

prune241.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (log1p (expm1 (/ (sin y) y))))
0.1b	(/ (sin y) y)
0.4b	(expm1 (/ (sin y) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

2.0ms	(cosh x)
13.0ms	(* (cosh x) (log1p (expm1 (/ (sin y) y))))
13.0ms	(/ (sin y) y)
1.0ms	(expm1 (/ (sin y) y))

series301.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cosh x)
142.0ms	(* (cosh x) (log1p (expm1 (/ (sin y) y))))
28.0ms	(/ (sin y) y)
58.0ms	(expm1 (/ (sin y) y))

simplify1.9s

Counts

83 → 83

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	155	793
1	311	706
2	834	643
3	2885	641
done	5000	635

prune369.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (log1p (expm1 (/ 1 (/ y (sin y))))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
0.4b	(expm1 (/ 1 (/ y (sin y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

9.0ms	(* (cosh x) (log1p (expm1 (/ 1 (/ y (sin y))))))
6.0ms	(/ y (sin y))
17.0ms	(/ 1 (/ y (sin y)))
1.0ms	(expm1 (/ 1 (/ y (sin y))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cosh x) (log1p (expm1 (/ 1 (/ y (sin y))))))
26.0ms	(/ y (sin y))
33.0ms	(/ 1 (/ y (sin y)))
43.0ms	(expm1 (/ 1 (/ y (sin y))))

simplify3.3s

Counts

151 → 151

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	246	1841
1	508	1544
2	1214	1280
3	4325	1260
done	5001	1258

prune461.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (log1p (expm1 (/ (/ 1 y) (/ 1 (sin y))))))
0.2b	(/ 1 (sin y))
0.3b	(/ (/ 1 y) (/ 1 (sin y)))
0.4b	(expm1 (/ (/ 1 y) (/ 1 (sin y))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
212×	`add-sqr-sqrt`
210×	`add-cube-cbrt` `*-un-lft-identity`
50×	`add-exp-log`
34×	`div-exp`
30×	`div-inv`
20×	`add-cbrt-cube`
16×	`associate-/r` `associate-/l`
9×	`cbrt-undiv` `rec-exp` `1-exp`
7×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `clear-num`
1×	`expm1-log1p` `cosh-def` `pow-flip` `pow-prod-down` `associate-l/` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `expm1-udef` `unswap-sqr`

Counts

4 → 294

Calls

4 calls:

10.0ms	(* (cosh x) (log1p (expm1 (/ (/ 1 y) (/ 1 (sin y))))))
7.0ms	(/ 1 (sin y))
26.0ms	(/ (/ 1 y) (/ 1 (sin y)))
1.0ms	(expm1 (/ (/ 1 y) (/ 1 (sin y))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cosh x) (log1p (expm1 (/ (/ 1 y) (/ 1 (sin y))))))
18.0ms	(/ 1 (sin y))
32.0ms	(/ (/ 1 y) (/ 1 (sin y)))
60.0ms	(expm1 (/ (/ 1 y) (/ 1 (sin y))))

simplify1.7s

Counts

306 → 306

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	485	5483
1	1239	3873
2	2281	3235
done	5000	3161

prune564.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.6s	2940×	body	1280	valid
1.3s	2474×	body	640	valid
1.1s	8506×	body	80	valid
408.0ms	1218×	body	320	valid
146.0ms	631×	body	160	valid