Details

sample103.0ms

Algorithm

intervals

Results

38.0ms	95×	body	1280	valid
19.0ms	85×	body	640	valid
14.0ms	255×	body	80	valid
6.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid

simplify96.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:

32.0ms	(* (cosh x) (/ (sin y) y))
52.0ms	(/ (sin y) y)

series159.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(* (cosh x) (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify93.0ms

Counts: 67 → 67

prune189.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

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:

47.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
7.0ms	(/ y (sin y))
19.0ms	(/ 1 (/ y (sin y)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
29.0ms	(/ y (sin y))
37.0ms	(/ 1 (/ y (sin y)))

simplify78.0ms

Counts: 187 → 187

prune622.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cosh x) y)
0.1b	(/ 1 (sin y))
0.2b	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
0.3b	(/ 1 (/ 1 (sin y)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

195×	`times-frac`
149×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
108×	`add-exp-log`
104×	`add-cube-cbrt`
58×	`div-exp`
44×	`associate-r`
34×	`add-cbrt-cube`
26×	`prod-exp`
22×	`rec-exp` `1-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `unswap-sqr`
13×	`associate-l`
12×	`div-inv`
9×	`pow1` `associate-/l*`
6×	`cbrt-unprod`
5×	`pow-flip`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`associate-/r/`
1×	`frac-times` `cosh-def` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `associate-/l/` `remove-double-div`

Counts

4 → 260

Calls

4 calls:

11.0ms	(/ (cosh x) y)
12.0ms	(/ 1 (sin y))
92.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
14.0ms	(/ 1 (/ 1 (sin y)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (cosh x) y)
22.0ms	(/ 1 (sin y))
95.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
10.0ms	(/ 1 (/ 1 (sin y)))

simplify106.0ms

Counts: 272 → 272

prune686.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

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

rewrite50.0ms

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:

3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
36.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series838.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (/ y (sin y)))
162.0ms	(cbrt (/ y (sin y)))
222.0ms	(cbrt (/ y (sin y)))
259.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify66.0ms

Counts: 156 → 156

prune697.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify54.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.1s	3055×	body	1280	valid
1.2s	2465×	body	640	valid
659.0ms	8589×	body	80	valid
380.0ms	1233×	body	320	valid
92.0ms	637×	body	160	valid