Details

sample138.0ms

Algorithm

intervals

Results

53.0ms	58×	body	1280	valid
28.0ms	46×	body	640	valid
20.0ms	28×	body	320	valid
15.0ms	113×	body	80	valid
3.0ms	11×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

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))

rewrite89.0ms

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:

48.0ms	(+ (* x (sin y)) (* z (cos y)))
18.0ms	(* z (cos y))
19.0ms	(* x (sin y))

series527.0ms

Counts

3 → 9

Calls

3 calls:

413.0ms	(+ (* x (sin y)) (* z (cos y)))
50.0ms	(* z (cos y))
63.0ms	(* x (sin y))

simplify3.0s

Counts

56 → 56

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	82	458
1	186	430
2	458	396
3	1055	396
4	2739	396
done	5000	396

prune268.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series718.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
169.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))
146.0ms	(cbrt (cos y))

simplify5.8s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.2s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune345.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

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))
58.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series281.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (sin y))
44.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
156.0ms	(cbrt (cos y))

simplify3.7s

Counts

84 → 84

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	125	759
1	287	658
2	846	582
3	3375	521
done	5001	513

prune355.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `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` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

48.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (cos y)))
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series434.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
245.0ms	(cbrt (pow (cos y) 2))
157.0ms	(cbrt (cos y))

simplify2.0s

Counts

97 → 97

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	112	939
1	219	855
2	566	753
3	1998	735
done	5000	717

prune505.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

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

sample3.9s

Algorithm

intervals

Results

1.4s	1450×	body	1280	valid
866.0ms	1281×	body	640	valid
704.0ms	660×	body	320	valid
582.0ms	4301×	body	80	valid
74.0ms	308×	body	160	valid