Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	187×	body	80	valid
12.0ms	42×	body	640	valid
11.0ms	26×	body	1280	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify74.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.1b	(/ (* x (/ (sin y) y)) z)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

17.0ms	(* x (/ (sin y) y))
10.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series177.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
44.0ms	(/ (sin y) y)
77.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1184
1	341
0	142

prune450.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.3b	(/ 1 (/ z (* x (/ (sin y) y))))
2.1b	(/ z (* x (/ (sin y) y)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

20.0ms	(* x (/ (sin y) y))
15.0ms	(/ (sin y) y)
21.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
14.0ms	(/ z (* x (/ (sin y) y)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (/ (sin y) y))
35.0ms	(/ (sin y) y)
85.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
133.0ms	(/ z (* x (/ (sin y) y)))

simplify1.5s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	1750
1	523
0	224

prune670.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.8b	(* x (/ (/ (sin y) y) z))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`*-un-lft-identity` `add-cube-cbrt`
43×	`associate-r`
19×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 165

Calls

3 calls:

17.0ms	(/ (/ (sin y) y) z)
9.0ms	(/ (sin y) y)
39.0ms	(* x (/ (/ (sin y) y) z))

series176.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (/ (sin y) y) z)
37.0ms	(/ (sin y) y)
86.0ms	(* x (/ (/ (sin y) y) z))

simplify1.4s

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
2	2065
1	640
0	251

prune743.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(/ x (/ z (/ (sin y) y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`

Counts

3 → 296

Calls

3 calls:

17.0ms	(/ z (/ (sin y) y))
11.0ms	(/ (sin y) y)
17.0ms	(/ x (/ z (/ (sin y) y)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ z (/ (sin y) y))
36.0ms	(/ (sin y) y)
106.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.2s

Counts

305 → 305

Iterations

Iter	Nodes
done	5001
1	1345
0	494

prune1.5s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes562.0ms

Accuracy

90.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample2.2s

Algorithm

intervals

Results

827.0ms	933×	body	1280	valid
588.0ms	5988×	body	80	valid
350.0ms	974×	body	640	valid
119.0ms	537×	body	320	valid
47.0ms	311×	body	160	valid