Details

sample75.0ms

Algorithm

intervals

Results

19.0ms	31×	body	1280	valid
16.0ms	181×	body	80	valid
13.0ms	31×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	3×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	19
1	13
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

10.0ms	(+ x (sin y))
30.0ms	(+ (+ x (sin y)) (* z (cos y)))
11.0ms	(* z (cos y))

series167.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (sin y))
76.0ms	(+ (+ x (sin y)) (* z (cos y)))
59.0ms	(* z (cos y))

simplify2.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	4605
2	778
1	205
0	79

prune335.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series733.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
158.0ms	(cbrt (cos y))
160.0ms	(cbrt (cos y))
146.0ms	(cbrt (cos y))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune515.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series592.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (cbrt (cos y)))
171.0ms	(cbrt (cbrt (cos y)))
142.0ms	(cbrt (cbrt (cos y)))
129.0ms	(cbrt (cbrt (cos y)))

simplify3.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
4	3446
3	506
2	131
1	55
0	35

prune522.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

15.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
4.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))
6.0ms	(cbrt (* z (cos y)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
172.0ms	(cbrt (* z (cos y)))
141.0ms	(cbrt (* z (cos y)))
147.0ms	(cbrt (* z (cos y)))

simplify924.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	862
1	201
0	81

prune423.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes357.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

767.0ms	994×	body	1280	valid
711.0ms	5559×	body	80	valid
668.0ms	843×	body	640	valid
108.0ms	389×	body	320	valid
41.0ms	215×	body	160	valid