Details

sample119.0ms

Algorithm

intervals

Results

45.0ms	49×	body	1280	valid
22.0ms	35×	body	640	valid
19.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
4.0ms	13×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune28.0ms

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))

rewrite64.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

22.0ms	(- (* x (cos y)) (* z (sin y)))
21.0ms	(* z (sin y))
19.0ms	(* x (cos y))

series238.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(- (* x (cos y)) (* z (sin y)))
51.0ms	(* z (sin y))
70.0ms	(* x (cos y))

simplify99.0ms

Counts: 57 → 57

prune274.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite28.0ms

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:

17.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series681.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
155.0ms	(cbrt (cos y))
141.0ms	(cbrt (cos y))
142.0ms	(cbrt (cos y))

simplify58.0ms

Counts: 85 → 85

prune456.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite89.0ms

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:

64.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
15.0ms	(pow (cos y) 2)
5.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series551.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
33.0ms	(pow (cos y) 2)
253.0ms	(cbrt (pow (cos y) 2))
193.0ms	(cbrt (cos y))

simplify238.0ms

Counts: 78 → 78

prune427.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`unpow2` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

5.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series985.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (pow (cos y) 2))
228.0ms	(cbrt (pow (cos y) 2))
309.0ms	(cbrt (pow (cos y) 2))
185.0ms	(cbrt (cos y))

simplify164.0ms

Counts: 71 → 71

prune448.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify104.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1297×	body	640	valid
1.2s	1438×	body	1280	valid
480.0ms	4334×	body	80	valid
396.0ms	630×	body	320	valid
65.0ms	301×	body	160	valid