Details

sample65.0ms

Algorithm

intervals

Results

21.0ms	32×	body	1280	valid
19.0ms	188×	body	80	valid
8.0ms	17×	body	640	valid
5.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite55.0ms

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` `insert-posit16`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

5.0ms	(+ x (sin y))
25.0ms	(+ (+ x (sin y)) (* z (cos y)))
24.0ms	(* z (cos y))

series140.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ x (sin y))
51.0ms	(+ (+ x (sin y)) (* z (cos y)))
45.0ms	(* z (cos y))

simplify495.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	2000
2	637
1	207
0	82

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite26.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

20.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series586.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
121.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))
129.0ms	(cbrt (cos y))

simplify755.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
3	1192
2	354
1	145
0	66

prune406.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 49

Calls

4 calls:

2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cbrt (cos y)))
5.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series555.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (cos y))
130.0ms	(cbrt (cos y))
134.0ms	(cbrt (cbrt (cos y)))
155.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify827.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	2000
4	1704
3	579
2	213
1	109
0	62

prune310.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite39.0ms

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` `insert-posit16` `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 → 62

Calls

4 calls:

23.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
5.0ms	(cbrt (* z (cos y)))
5.0ms	(cbrt (* z (cos y)))
5.0ms	(cbrt (* z (cos y)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
167.0ms	(cbrt (* z (cos y)))
139.0ms	(cbrt (* z (cos y)))
166.0ms	(cbrt (* z (cos y)))

simplify781.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2010
3	1526
2	546
1	201
0	83

prune385.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	5596×	body	80	valid
1.0s	1015×	body	1280	valid
520.0ms	753×	body	640	valid
209.0ms	442×	body	320	valid
59.0ms	194×	body	160	valid