Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

374×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	20	9
3	39	9
4	43	9
done	43	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

9.0ms	(+ (* x y) z)
14.0ms	(+ (* (+ (* x y) z) y) t)
25.0ms	(* (+ (* x y) z) y)

series121.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (* x y) z)
62.0ms	(+ (* (+ (* x y) z) y) t)
37.0ms	(* (+ (* x y) z) y)

simplify1.3s

Counts

51 → 51

Iterations

Useful iterations: 3 (541.0ms)

Iter	Nodes	Cost
0	80	569
1	208	546
2	645	494
3	2191	486
done	5001	486

prune111.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
8.7b	(cbrt (* (+ (* x y) z) y))
8.7b	(cbrt (* (+ (* x y) z) y))
8.7b	(cbrt (* (+ (* x y) z) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

33.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
9.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))

series576.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
133.0ms	(cbrt (* (+ (* x y) z) y))
133.0ms	(cbrt (* (+ (* x y) z) y))
136.0ms	(cbrt (* (+ (* x y) z) y))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	152	1616
1	353	1501
2	894	1378
3	2176	1229
done	5001	1171

prune261.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) z))
0.7b	(cbrt y)
8.7b	(cbrt (* (+ (* x y) z) y))
8.7b	(cbrt (* (+ (* x y) z) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

7.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)
9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))

series546.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ (* x y) z))
176.0ms	(cbrt y)
131.0ms	(cbrt (* (+ (* x y) z) y))
129.0ms	(cbrt (* (+ (* x y) z) y))

simplify2.3s

Counts

58 → 58

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	123	711
1	281	692
2	662	639
3	1611	588
4	4214	563
done	5000	557

prune224.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

46.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
5.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))

series473.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
112.0ms	(cbrt (+ (* x y) z))
112.0ms	(cbrt (+ (* x y) z))
117.0ms	(cbrt (+ (* x y) z))

simplify2.6s

Counts

99 → 99

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	115	1590
1	267	1472
2	677	1378
3	1633	1255
4	4133	1231
done	5000	1158

prune271.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes183.0ms

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

sample627.0ms

Algorithm

intervals

Results

253.0ms

11326×

body

valid