Details

sample98.0ms

Algorithm

intervals

Results

37.0ms	104×	body	1280	valid
14.0ms	281×	body	80	valid
13.0ms	58×	body	640	valid
13.0ms	35×	body	320	valid
1.0ms	14×	body	160	valid

simplify706.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

23.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series165.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (cosh x) (/ (sin y) y))
60.0ms	(/ (sin y) y)

simplify1.4s

Counts: 67 → 67

prune241.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-div` `cosh-def` `pow1/3` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (cosh x))
1.0ms	(cbrt (cosh x))
2.0ms	(cbrt (cosh x))
14.0ms	(/ (sin y) y)

series692.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (cosh x))
204.0ms	(cbrt (cosh x))
225.0ms	(cbrt (cosh x))
38.0ms	(/ (sin y) y)

simplify505.0ms

Counts: 75 → 75

prune329.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

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:

58.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
17.0ms	(/ 1 (/ y (sin y)))
8.0ms	(/ y (sin y))

series192.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
48.0ms	(/ 1 (/ y (sin y)))
37.0ms	(/ y (sin y))

simplify1.1s

Counts: 187 → 187

prune591.0ms

Pruning

9 alts after pruning (7 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)))

rewrite172.0ms

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))
23.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
34.0ms	(/ 1 (sin y))
35.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify881.0ms

Counts: 488 → 488

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

-14.9% (0.1b remaining)

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

bsearch0.0ms

simplify615.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	2912×	body	1280	valid
1.2s	2541×	body	640	valid
1.1s	8618×	body	80	valid
267.0ms	1236×	body	320	valid
80.0ms	619×	body	160	valid