Details

sample96.0ms

Algorithm

intervals

Results

31.0ms	181×	body	80	valid
24.0ms	31×	body	1280	valid
17.0ms	31×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	3×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	243
1	13	243
2	19	243
3	22	243
done	22	243

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

5.0ms	(+ x (sin y))
42.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))

series193.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (sin y))
77.0ms	(+ (+ x (sin y)) (* z (cos y)))
68.0ms	(* z (cos y))

simplify3.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (259.0ms)

Iter	Nodes	Cost
0	79	11535
1	205	10542
2	778	10462
3	4605	10462
done	5001	10462

prune329.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

20.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series665.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
166.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	64	22963
1	146	19212
2	622	18886
done	5000	18006

prune554.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cbrt (cos y)))

series884.0ms

Counts

4 → 12

Calls

4 calls:

467.0ms	(cbrt (cbrt (cos y)))
126.0ms	(cbrt (cbrt (cos y)))
170.0ms	(cbrt (cbrt (cos y)))
121.0ms	(cbrt (cbrt (cos y)))

simplify3.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	35	24756
1	55	22428
2	131	22428
3	506	21628
4	3446	21628
done	5000	21628

prune550.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

24.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
135.0ms	(cbrt (* z (cos y)))
150.0ms	(cbrt (* z (cos y)))
209.0ms	(cbrt (* z (cos y)))

simplify1.0s

Counts

70 → 70

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	81	20465
1	201	17800
2	862	17600
done	5000	16838

prune505.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes328.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	403
1	15	403
done	15	403

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	5559×	body	80	valid
884.0ms	994×	body	1280	valid
421.0ms	843×	body	640	valid
166.0ms	389×	body	320	valid
88.0ms	215×	body	160	valid