Details

sample151.0ms

Algorithm

intervals

Results

61.0ms	39×	body	1280	valid
34.0ms	41×	body	640	valid
27.0ms	152×	body	80	valid
10.0ms	18×	body	320	valid
3.0ms	6×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune8.0ms

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`associate-l`
7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `unswap-sqr`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 59

Calls

3 calls:

63.0ms	(- (* x (cos y)) (* z (sin y)))
30.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series235.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (* x (cos y)) (* z (sin y)))
75.0ms	(* x (cos y))
70.0ms	(* z (sin y))

simplify2.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1381
2	448
1	200
0	91

prune307.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

24.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series757.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
161.0ms	(cbrt (cos y))
185.0ms	(cbrt (cos y))
173.0ms	(cbrt (cos y))

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	1381
2	413
1	158
0	69

prune548.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 51

Calls

4 calls:

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

series653.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (cos y))
173.0ms	(cbrt (cos y))
170.0ms	(cbrt (cos y))
161.0ms	(cbrt (cbrt (cos y)))

simplify2.9s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
5	4189
4	1220
3	431
2	158
1	82
0	48

prune482.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

30.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series579.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
160.0ms	(cbrt (sin y))
129.0ms	(cbrt (sin y))
134.0ms	(cbrt (sin y))

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	1584
2	517
1	189
0	80

prune527.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes369.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.7s	1393×	body	1280	valid
1.7s	1245×	body	640	valid
1.3s	4412×	body	80	valid
488.0ms	635×	body	320	valid
151.0ms	315×	body	160	valid