Details

sample50.0ms

Algorithm

intervals

Results

15.0ms	33×	body	1280	valid
14.0ms	172×	body	80	valid
8.0ms	24×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 61

Calls

2 calls:

9.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)

series126.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* x (/ (sin y) y))
37.0ms	(/ (sin y) y)

simplify419.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	2007
2	755
1	229
0	100

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 179

Calls

3 calls:

15.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
7.0ms	(/ 1 (/ y (sin y)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* x (/ 1 (/ y (sin y))))
35.0ms	(/ y (sin y))
40.0ms	(/ 1 (/ y (sin y)))

simplify734.0ms

Counts

188 → 188

Iterations

Iter	Nodes
done	2000
2	1867
1	629
0	241

prune527.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 99

Calls

2 calls:

4.0ms	(/ y (sin y))
7.0ms	(/ x (/ y (sin y)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ y (sin y))
84.0ms	(/ x (/ y (sin y)))

simplify575.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2006
2	1318
1	421
0	173

prune420.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ x (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

2636×	`times-frac`
1404×	`cbrt-prod`
1154×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
126×	`div-inv`
53×	`associate-/l*`
21×	`cbrt-div`
18×	`associate-/r/`
16×	`associate-/r*`
9×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 1003

Calls

4 calls:

27.0ms	(/ (/ x (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

510.0ms	(/ (/ x (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
189.0ms	(cbrt (/ y (sin y)))
178.0ms	(cbrt (/ y (sin y)))
186.0ms	(cbrt (/ y (sin y)))

simplify1.3s

Counts

1015 → 1015

Iterations

Iter	Nodes
done	2001
0	1641

prune5.9s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

578.0ms	927×	body	1280	valid
563.0ms	5242×	body	80	valid
407.0ms	950×	body	640	valid
151.0ms	579×	body	320	valid
53.0ms	302×	body	160	valid