Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	35×	body	1280	valid
8.0ms	161×	body	80	valid
6.0ms	28×	body	640	valid
3.0ms	21×	body	320	valid
2.0ms	11×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	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)

rewrite28.0ms

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:

16.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series106.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* x (/ (sin y) y))
44.0ms	(/ (sin y) y)

simplify4.8s

Counts

65 → 65

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	98	571
1	208	545
2	562	493
3	1529	493
4	4620	493
done	5000	493

prune217.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

27.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series564.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
125.0ms	(cbrt (sin y))
141.0ms	(cbrt (sin y))
152.0ms	(cbrt (sin y))

simplify2.5s

Counts

85 → 85

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	405	534
3	1260	512
done	5001	507

prune283.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.2b	(* (* x (sin y)) (/ 1 y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

10.0ms	(* x (sin y))
32.0ms	(* (* x (sin y)) (/ 1 y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (sin y))
67.0ms	(* (* x (sin y)) (/ 1 y))

simplify3.4s

Counts

62 → 62

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	105	592
1	259	484
2	780	390
3	2701	390
done	5000	390

prune144.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
6.5b	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
53.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt y)
199.0ms	(cbrt y)
195.0ms	(cbrt y)
91.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	146	1298
1	413	1242
2	1742	938
done	5000	847

prune294.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes121.0ms

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

sample1.9s

Algorithm

intervals

Results

782.0ms	5156×	body	80	valid
435.0ms	943×	body	1280	valid
302.0ms	995×	body	640	valid
102.0ms	578×	body	320	valid
41.0ms	328×	body	160	valid