Details

sample230.0ms

Algorithm

intervals

Results

77.0ms	90×	body	1280	valid
57.0ms	87×	body	640	valid
55.0ms	256×	body	80	valid
14.0ms	33×	body	320	valid
8.0ms	24×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2866
7	1227
6	443
5	163
4	100
3	56
2	28
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.5b	(* (cosh x) (/ (sin y) y))

rewrite25.0ms

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:

9.0ms	(/ (sin y) y)
15.0ms	(* (cosh x) (/ (sin y) y))

series130.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (sin y) y)
94.0ms	(* (cosh x) (/ (sin y) y))

simplify3.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	4581
2	933
1	283
0	126

prune380.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
0.5b	(* (cosh x) (/ 1 (/ y (sin y))))

rewrite42.0ms

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:

5.0ms	(/ y (sin y))
8.0ms	(/ 1 (/ y (sin y)))
24.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series210.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ y (sin y))
57.0ms	(/ 1 (/ y (sin y)))
102.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify2.0s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	2164
1	695
0	268

prune848.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin y))
0.5b	(/ 1 (/ 1 (sin y)))
0.5b	(/ (cosh x) y)
0.5b	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

rewrite99.0ms

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

Counts

4 → 272

Calls

4 calls:

13.0ms	(/ 1 (sin y))
18.0ms	(/ 1 (/ 1 (sin y)))
13.0ms	(/ (cosh x) y)
46.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (sin y))
10.0ms	(/ 1 (/ 1 (sin y)))
65.0ms	(/ (cosh x) y)
117.0ms	(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

simplify2.0s

Counts

284 → 284

Iterations

Iter	Nodes
done	5000
2	2198
1	986
0	357

prune848.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

13.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series596.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
146.0ms	(cbrt (sin y))
120.0ms	(cbrt (sin y))
139.0ms	(cbrt (sin y))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	1528
2	481
1	182
0	81

prune421.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes300.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.7s	3027×	body	1280	valid
1.8s	2557×	body	640	valid
1.5s	8449×	body	80	valid
962.0ms	1214×	body	320	valid
157.0ms	622×	body	160	valid