Details

sample37.0ms

Algorithm

intervals

Results

17.0ms	334×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	42	9
4	47	9
done	47	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

18.0ms	(+ (* x (+ y z)) (* z 5.0))
20.0ms	(* x (+ y z))

series61.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x (+ y z)) (* z 5.0))
28.0ms	(* x (+ y z))

simplify644.0ms

Counts

42 → 42

Iterations

Useful iterations: done (643.0ms)

Iter	Nodes	Cost
0	72	422
1	226	394
2	999	358
done	5000	356

prune105.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ 5.0 x))
0.0b	(+ (* x y) (* z (+ 5.0 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

20.0ms	(* z (+ 5.0 x))
13.0ms	(+ (* x y) (* z (+ 5.0 x)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* z (+ 5.0 x))
53.0ms	(+ (* x y) (* z (+ 5.0 x)))

simplify751.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	71	422
1	221	388
2	1058	360
done	5001	360

prune114.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite29.0ms

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:

21.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt x) (cbrt x))
280.0ms	(cbrt x)
263.0ms	(cbrt x)
290.0ms	(cbrt x)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune258.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
3.6b	(cbrt (* x (+ y z)))
3.6b	(cbrt (* x (+ y z)))
3.6b	(cbrt (* x (+ y z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

34.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
7.0ms	(cbrt (* x (+ y z)))
7.0ms	(cbrt (* x (+ y z)))
7.0ms	(cbrt (* x (+ y z)))

series628.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
160.0ms	(cbrt (* x (+ y z)))
159.0ms	(cbrt (* x (+ y z)))
120.0ms	(cbrt (* x (+ y z)))

simplify607.0ms

Counts

84 → 84

Iterations

Useful iterations: done (604.0ms)

Iter	Nodes	Cost
0	108	1142
1	274	1039
2	883	943
done	5001	893

prune315.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

763.0ms	9843×	body	80	valid
17.0ms	114×	body	1280	valid
13.0ms	113×	body	640	valid
6.0ms	67×	body	320	valid
3.0ms	41×	body	160	valid