Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	168×	body	80	valid
8.0ms	34×	body	640	valid
8.0ms	25×	body	1280	valid
3.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	11	6
3	15	6
4	16	6
done	16	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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

Counts

2 → 59

Calls

2 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify2.5s

Counts

65 → 65

Iterations

Useful iterations: 2 (254.0ms)

Iter	Nodes	Cost
0	98	571
1	212	545
2	771	493
3	4882	493
done	5000	493

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

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)))

rewrite40.0ms

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

Counts

3 → 176

Calls

3 calls:

21.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ 1 (/ y (sin y))))
22.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))

simplify802.0ms

Counts

185 → 185

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	238	2193
1	568	1726
2	1531	1493
done	5000	1493

prune306.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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)))

rewrite31.0ms

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:

19.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
140.0ms	(cbrt (/ y (sin y)))
140.0ms	(cbrt (/ y (sin y)))
142.0ms	(cbrt (/ y (sin y)))

simplify2.6s

Counts

156 → 156

Iterations

Useful iterations: 3 (926.0ms)

Iter	Nodes	Cost
0	169	2215
1	284	2080
2	871	2004
3	4284	1900
done	5000	1900

prune495.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.6b	(cbrt y)
0.6b	(cbrt (sin y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `div-inv`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
0.0ms	(cbrt y)
1.0ms	(cbrt (sin y))

series554.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (/ y (sin y)))
141.0ms	(cbrt (/ y (sin y)))
177.0ms	(cbrt y)
100.0ms	(cbrt (sin y))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (487.0ms)

Iter	Nodes	Cost
0	115	723
1	201	691
2	496	624
3	2028	606
done	5000	606

prune269.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
done	10	8

end0.0ms

sample829.0ms

Algorithm

intervals

Results

249.0ms	963×	body	1280	valid
186.0ms	5218×	body	80	valid
159.0ms	972×	body	640	valid
62.0ms	551×	body	320	valid
23.0ms	296×	body	160	valid