Details

sample54.0ms

Algorithm

intervals

Results

23.0ms	49×	body	1280	valid
8.0ms	150×	body	80	valid
8.0ms	30×	body	640	valid
4.0ms	23×	body	320	valid
1.0ms	4×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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:

3.0ms	(+ (* x (sin y)) (* z (cos y)))
3.0ms	(* z (cos y))
4.0ms	(* x (sin y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x (sin y)) (* z (cos y)))
38.0ms	(* z (cos y))
38.0ms	(* x (sin y))

simplify1.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	82	458
1	184	430
2	433	396
3	961	396
4	2250	396
done	5000	396

prune154.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite10.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series450.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))

simplify3.8s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	355	521
3	1333	499
4	4784	492
done	5000	492

prune263.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

17.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(* x (sin y))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series192.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
37.0ms	(* x (sin y))
21.0ms	(pow (cos y) 2)
97.0ms	(cbrt (cos y))

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: 3 (858.0ms)

Iter	Nodes	Cost
0	125	759
1	291	658
2	896	582
3	3695	521
done	5000	521

prune268.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (cos y)) (cbrt (pow (cos y) 2)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (cbrt (cos y)) (cbrt (pow (cos y) 2)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series283.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (pow (cos y) 2)))
16.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))
162.0ms	(cbrt (pow (cos y) 2))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: 3 (478.0ms)

Iter	Nodes	Cost
0	113	942
1	225	859
2	633	746
3	2259	727
done	5001	727

prune323.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

627.0ms	1486×	body	1280	valid
326.0ms	1191×	body	640	valid
253.0ms	4335×	body	80	valid
123.0ms	665×	body	320	valid
41.0ms	323×	body	160	valid