Details

sample105.0ms

Algorithm

intervals

Results

39.0ms	48×	body	1280	valid
20.0ms	36×	body	640	valid
17.0ms	144×	body	80	valid
5.0ms	15×	body	320	valid
3.0ms	13×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

12.0ms	(+ (* x (sin y)) (* z (cos y)))
10.0ms	(* x (sin y))
10.0ms	(* z (cos y))

series245.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ (* x (sin y)) (* z (cos y)))
44.0ms	(* x (sin y))
64.0ms	(* z (cos y))

simplify157.0ms

Counts: 56 → 56

prune169.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))

rewrite23.0ms

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:

16.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series535.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
133.0ms	(cbrt (sin y))
129.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))

simplify54.0ms

Counts: 85 → 85

prune377.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.3b	(cbrt (* x (sin y)))
7.3b	(cbrt (* x (sin y)))
7.3b	(cbrt (* x (sin y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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:

20.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
8.0ms	(cbrt (* x (sin y)))
9.0ms	(cbrt (* x (sin y)))
17.0ms	(cbrt (* x (sin y)))

series762.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
186.0ms	(cbrt (* x (sin y)))
154.0ms	(cbrt (* x (sin y)))
190.0ms	(cbrt (* x (sin y)))

simplify47.0ms

Counts: 70 → 70

prune387.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sin y))
0.6b	(cbrt x)
7.3b	(cbrt (* x (sin y)))
7.3b	(cbrt (* x (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt x)
5.0ms	(cbrt (* x (sin y)))
5.0ms	(cbrt (* x (sin y)))

series825.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (sin y))
276.0ms	(cbrt x)
202.0ms	(cbrt (* x (sin y)))
208.0ms	(cbrt (* x (sin y)))

simplify108.0ms

Counts: 52 → 52

prune356.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1294×	body	640	valid
1.2s	1438×	body	1280	valid
572.0ms	4332×	body	80	valid
336.0ms	632×	body	320	valid
68.0ms	304×	body	160	valid