Details

sample142.0ms

Algorithm

intervals

Results

32.0ms	40×	body	1280	valid
23.0ms	43×	body	640	valid
17.0ms	139×	body	80	valid
9.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

18.0ms	(+ (* x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))
16.0ms	(* x (cos y))

series245.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* x (cos y)) (* z (sin y)))
60.0ms	(* z (sin y))
68.0ms	(* x (cos y))

simplify4.0s

Counts

56 → 56

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	81	454
1	194	426
2	639	392
3	3554	392
done	5001	392

prune438.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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))

rewrite41.0ms

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)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
4.0ms	(cbrt (cos y))

series932.0ms

Counts

4 → 12

Calls

4 calls:

321.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
212.0ms	(cbrt (cos y))
189.0ms	(cbrt (cos y))
210.0ms	(cbrt (cos y))

simplify2.1s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	687	521
done	5001	507

prune752.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite90.0ms

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:

69.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
6.0ms	(cbrt (pow (cos y) 2))
4.0ms	(cbrt (cos y))

series647.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
44.0ms	(pow (cos y) 2)
326.0ms	(cbrt (pow (cos y) 2))
205.0ms	(cbrt (cos y))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	104	709
1	271	655
2	1415	559
done	5001	544

prune728.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

19.0ms	(* z (sin y))
83.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series408.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* z (sin y))
74.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
32.0ms	(pow (cos y) 2)
212.0ms	(cbrt (cos y))

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	126	759
1	336	667
2	1524	584
done	5001	566

prune681.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes561.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	18	17
done	18	17

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	1545×	body	1280	valid
896.0ms	1234×	body	640	valid
666.0ms	4293×	body	80	valid
432.0ms	599×	body	320	valid
154.0ms	329×	body	160	valid