Details

sample93.0ms

Algorithm

intervals

Results

33.0ms	48×	body	1280	valid
20.0ms	44×	body	640	valid
14.0ms	143×	body	80	valid
4.0ms	13×	body	320	valid
2.0ms	8×	body	160	valid

simplify25.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite93.0ms

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:

53.0ms	(+ (* x (sin y)) (* z (cos y)))
19.0ms	(* x (sin y))
17.0ms	(* z (cos y))

series216.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(+ (* x (sin y)) (* z (cos y)))
51.0ms	(* x (sin y))
65.0ms	(* z (cos y))

simplify2.8s

Counts: 56 → 56

prune206.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite26.0ms

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:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series659.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
125.0ms	(cbrt (cos y))
138.0ms	(cbrt (cos y))
162.0ms	(cbrt (cos y))

simplify889.0ms

Counts: 85 → 85

prune400.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

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:

16.0ms	(* x (sin y))
45.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series322.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* x (sin y))
66.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
30.0ms	(pow (cos y) 2)
166.0ms	(cbrt (cos y))

simplify2.6s

Counts: 84 → 84

prune456.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

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

series988.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (cos y))
291.0ms	(cbrt (pow (cos y) 2))
266.0ms	(cbrt (pow (cos y) 2))
282.0ms	(cbrt (pow (cos y) 2))

simplify1.5s

Counts: 71 → 71

prune397.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

4.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify965.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	1523×	body	1280	valid
780.0ms	1275×	body	640	valid
630.0ms	4286×	body	80	valid
265.0ms	601×	body	320	valid
75.0ms	315×	body	160	valid