Details

sample156.0ms

Algorithm

intervals

Results

65.0ms	91×	body	1280	valid
27.0ms	73×	body	640	valid
22.0ms	292×	body	80	valid
13.0ms	45×	body	320	valid
2.0ms	14×	body	160	valid

simplify857.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 61

Calls

2 calls:

22.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series168.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (cosh x) (/ (sin y) y))
57.0ms	(/ (sin y) y)

simplify532.0ms

Counts: 67 → 67

prune312.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite82.0ms

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×	`associate-l` `cbrt-unprod` `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 → 178

Calls

3 calls:

43.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
20.0ms	(/ 1 (/ y (sin y)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
26.0ms	(/ y (sin y))
43.0ms	(/ 1 (/ y (sin y)))

simplify1.3s

Counts: 187 → 187

prune647.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)))

rewrite201.0ms

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×	`associate-l` `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 → 479

Calls

3 calls:

104.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
7.0ms	(/ 1 (sin y))
35.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
18.0ms	(/ 1 (sin y))
29.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify966.0ms

Counts: 488 → 488

prune1.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

50.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))

series925.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
256.0ms	(cbrt (/ y (sin y)))
231.0ms	(cbrt (/ y (sin y)))
168.0ms	(cbrt (/ y (sin y)))

simplify2.1s

Counts: 156 → 156

prune815.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify794.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.5s	3046×	body	1280	valid
1.3s	2442×	body	640	valid
1.1s	8688×	body	80	valid
305.0ms	1187×	body	320	valid
79.0ms	579×	body	160	valid