Details

sample66.0ms

Algorithm

intervals

Results

22.0ms	46×	body	1280	valid
15.0ms	49×	body	640	valid
9.0ms	133×	body	80	valid
5.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.2b	(* x (sin y))

rewrite56.0ms

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:

10.0ms	(+ (* x (sin y)) (* z (cos y)))
10.0ms	(* z (cos y))
34.0ms	(* x (sin y))

series181.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* x (sin y)) (* z (cos y)))
45.0ms	(* z (cos y))
52.0ms	(* x (sin y))

simplify121.0ms

Counts: 56 → 56

prune202.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite44.0ms

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:

33.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
153.0ms	(cbrt (cos y))
151.0ms	(cbrt (cos y))
130.0ms	(cbrt (cos y))

simplify61.0ms

Counts: 85 → 85

prune420.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(* x (sin y))
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite60.0ms

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:

40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
14.0ms	(* x (sin y))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series216.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
41.0ms	(* x (sin y))
22.0ms	(pow (cos y) 2)
113.0ms	(cbrt (cos y))

simplify183.0ms

Counts: 84 → 84

prune443.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (sin y))
0.2b	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

10.0ms	(* x (sin y))
44.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series269.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (sin y))
12.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
29.0ms	(pow (cos y) 2)
150.0ms	(cbrt (cos y))

simplify142.0ms

Counts: 105 → 105

prune506.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify161.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.5s	1540×	body	1280	valid
660.0ms	610×	body	320	valid
638.0ms	1247×	body	640	valid
532.0ms	4270×	body	80	valid
124.0ms	333×	body	160	valid