Details

sample253.0ms

Algorithm

intervals

Results

102.0ms	99×	body	1280	valid
54.0ms	74×	body	640	valid
41.0ms	262×	body	80	valid
31.0ms	47×	body	320	valid
4.0ms	11×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5012
9	4149
8	1946
7	941
6	316
5	142
4	89
3	50
2	28
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 67

Calls

2 calls:

21.0ms	(* (cosh x) (/ (sin y) y))
16.0ms	(/ (sin y) y)

series162.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (cosh x) (/ (sin y) y))
37.0ms	(/ (sin y) y)

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	3174
2	963
1	284
0	126

prune317.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite48.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 187

Calls

3 calls:

28.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
8.0ms	(/ 1 (/ y (sin y)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
31.0ms	(/ y (sin y))
41.0ms	(/ 1 (/ y (sin y)))

simplify2.4s

Counts

196 → 196

Iterations

Iter	Nodes
done	5001
2	2182
1	695
0	268

prune736.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite74.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 488

Calls

3 calls:

24.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
16.0ms	(/ 1 (sin y))
21.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
42.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.8s

Counts

497 → 497

Iterations

Iter	Nodes
done	5000
2	4414
1	1978
0	633

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (/ y (sin y)))
0.2b	(cbrt (/ y (sin y)))
0.2b	(cbrt (/ y (sin y)))
0.2b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
17.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series890.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (/ y (sin y)))
202.0ms	(cbrt (/ y (sin y)))
223.0ms	(cbrt (/ y (sin y)))
272.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify2.7s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
4	4146
3	1539
2	679
1	323
0	175

prune969.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample7.8s

Algorithm

intervals

Results

2.8s	2916×	body	1280	valid
1.7s	2487×	body	640	valid
1.6s	8613×	body	80	valid
1.1s	1239×	body	320	valid
167.0ms	626×	body	160	valid