Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	20×	body	320	valid
14.0ms	28×	body	1280	valid
12.0ms	173×	body	80	valid
9.0ms	27×	body	640	valid
1.0ms	8×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
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:

13.0ms	(+ x (sin y))
56.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series163.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (sin y))
70.0ms	(+ (+ x (sin y)) (* z (cos y)))
64.0ms	(* z (cos y))

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	78	455
1	196	424
2	561	398
3	1909	398
done	5000	398

prune193.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series676.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
125.0ms	(cbrt (cos y))
152.0ms	(cbrt (cos y))
162.0ms	(cbrt (cos y))

simplify5.2s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.9s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

43.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
5.0ms	(cbrt (pow (cos y) 2))

series855.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
383.0ms	(pow (cos y) 2)
165.0ms	(cbrt (cos y))
243.0ms	(cbrt (pow (cos y) 2))

simplify3.0s

Counts

78 → 78

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	104	709
1	227	653
2	702	559
3	3086	539
done	5000	533

prune258.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`pow1` `unpow-prod-down` `exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 63

Calls

4 calls:

4.0ms	(log (exp (cbrt (cos y))))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series470.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(log (exp (cbrt (cos y))))
31.0ms	(pow (cos y) 2)
122.0ms	(cbrt (cos y))
177.0ms	(cbrt (pow (cos y) 2))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	101	570
1	171	482
2	337	419
3	880	407
done	5000	405

prune320.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	19	18
done	19	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	5643×	body	80	valid
741.0ms	973×	body	1280	valid
371.0ms	805×	body	640	valid
205.0ms	386×	body	320	valid
37.0ms	192×	body	160	valid
2.0ms	1×	body	2560	valid