Details

sample146.0ms

Algorithm

intervals

Results

50.0ms	106×	body	1280	valid
32.0ms	47×	body	320	valid
20.0ms	67×	body	640	valid
17.0ms	244×	body	80	valid
3.0ms	21×	body	160	valid

simplify936.0ms

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	187	7
6	761	7
done	5000	7

prune3.0ms

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)

rewrite34.0ms

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

18.0ms	(* (cosh x) (/ (sin y) y))
14.0ms	(/ (sin y) y)

series117.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* (cosh x) (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify817.0ms

Counts

71 → 71

Iterations

Useful iterations: done (815.0ms)

Iter	Nodes	Cost
0	124	689
1	282	656
2	1254	592
done	5000	590

prune180.0ms

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))
0.2b	(/ 1 (/ y (sin y)))

rewrite72.0ms

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` `log1p-expm1-u` `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 → 184

Calls

3 calls:

40.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
7.0ms	(/ y (sin y))
16.0ms	(/ 1 (/ y (sin y)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
36.0ms	(/ y (sin y))
36.0ms	(/ 1 (/ y (sin y)))

simplify496.0ms

Counts

193 → 193

Iterations

Useful iterations: done (488.0ms)

Iter	Nodes	Cost
0	265	2378
1	704	1908
done	5001	1772

prune476.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 268

Calls

4 calls:

11.0ms	(/ (cosh x) y)
11.0ms	(/ 1 (sin y))
20.0ms	(/ 1 (/ 1 (sin y)))
72.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

series211.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (cosh x) y)
17.0ms	(/ 1 (sin y))
11.0ms	(/ 1 (/ 1 (sin y)))
94.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

simplify570.0ms

Counts

280 → 280

Iterations

Useful iterations: done (561.0ms)

Iter	Nodes	Cost
0	353	3622
1	1085	2257
done	5001	2090

prune593.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt y)
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series636.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt y)
131.0ms	(cbrt (sin y))
134.0ms	(cbrt (sin y))
147.0ms	(cbrt (sin y))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 4 (585.0ms)

Iter	Nodes	Cost
0	53	371
1	102	346
2	267	313
3	831	301
4	2630	298
done	5002	298

prune284.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.1s	2951×	body	1280	valid
1.0s	2482×	body	640	valid
676.0ms	8770×	body	80	valid
447.0ms	619×	body	160	valid
405.0ms	1214×	body	320	valid