Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	31×	body	1280	valid
6.0ms	159×	body	80	valid
5.0ms	27×	body	640	valid
2.0ms	25×	body	160	valid
2.0ms	14×	body	320	valid

simplify8.0ms

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

localize10.0ms

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)

series97.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify1.4s

Counts

65 → 65

Iterations

Useful iterations: 2 (78.0ms)

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

prune148.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

8.0ms	(* (/ (sin y) y) x)
3.0ms	(/ (sin y) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (/ (sin y) y) x)
29.0ms	(/ (sin y) y)

simplify2.0s

Counts

65 → 65

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	100	554
1	215	540
2	646	486
3	2316	486
done	5000	486

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
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-r` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

3 → 175

Calls

3 calls:

22.0ms	(* (/ 1 (/ y (sin y))) x)
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (/ 1 (/ y (sin y))) x)
26.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))

simplify2.0s

Counts

184 → 184

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	237	2104
1	554	1710
2	1141	1481
3	3457	1463
done	5000	1463

prune346.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin y) x)
6.6b	(/ (* (sin y) x) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

3.0ms	(* (sin y) x)
4.0ms	(/ (* (sin y) x) y)

series87.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (sin y) x)
49.0ms	(/ (* (sin y) x) y)

simplify2.2s

Counts

45 → 45

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	72	346
1	155	336
2	622	284
3	3858	284
done	5000	284

prune121.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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

sample909.0ms

Algorithm

intervals

Results

252.0ms	943×	body	1280	valid
212.0ms	5210×	body	80	valid
185.0ms	1009×	body	640	valid
65.0ms	542×	body	320	valid
25.0ms	296×	body	160	valid