Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	175×	body	80	valid
7.0ms	42×	body	640	valid
4.0ms	15×	body	1280	valid
2.0ms	15×	body	320	valid
1.0ms	9×	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

localize6.0ms

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×	`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:

12.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify934.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	98	571
1	212	545
2	589	493
3	2074	493
done	5000	493

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)))

rewrite37.0ms

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:

20.0ms	(* x (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* x (/ 1 (/ y (sin y))))
29.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))

simplify1.6s

Counts

185 → 185

Iterations

Useful iterations: 3 (759.0ms)

Iter	Nodes	Cost
0	238	2193
1	568	1726
2	1128	1493
3	3231	1475
done	5000	1475

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 477

Calls

3 calls:

61.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
2.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
14.0ms	(/ 1 (sin y))
28.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.4s

Counts

486 → 486

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	603	8246
1	1796	5655
2	3039	4793
done	5000	4787

prune650.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize12.0ms

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)))

rewrite34.0ms

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:

22.0ms	(* (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)))

series665.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
156.0ms	(cbrt (/ y (sin y)))
155.0ms	(cbrt (/ y (sin y)))
149.0ms	(cbrt (/ y (sin y)))

simplify2.5s

Counts

156 → 156

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	169	2215
1	284	2080
2	750	2004
3	2093	1900
4	4802	1882
done	5000	1882

prune529.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes102.0ms

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	5	6
1	6	6
done	6	6

end0.0ms

sample832.0ms

Algorithm

intervals

Results

227.0ms	895×	body	1280	valid
196.0ms	5264×	body	80	valid
163.0ms	997×	body	640	valid
69.0ms	561×	body	320	valid
23.0ms	283×	body	160	valid