Details

sample38.0ms

Algorithm

intervals

Results

12.0ms

365×

body

valid

simplify37.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:

23.0ms	(+ (* (+ (* x y) z) y) t)
15.0ms	(+ (* x y) z)
28.0ms	(* (+ (* x y) z) y)

series169.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* (+ (* x y) z) y) t)
28.0ms	(+ (* x y) z)
48.0ms	(* (+ (* x y) z) y)

simplify1.8s

Counts

51 → 51

Iterations

Useful iterations: 3 (781.0ms)

Iter	Nodes	Cost
0	80	569
1	208	546
2	645	494
3	2193	486
done	5000	486

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
6.9b	(cbrt (* (+ (* x y) z) y))
6.9b	(cbrt (* (+ (* x y) z) y))
6.9b	(cbrt (* (+ (* x y) z) y))

rewrite118.0ms

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:

55.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
20.0ms	(cbrt (* (+ (* x y) z) y))
20.0ms	(cbrt (* (+ (* x y) z) y))
20.0ms	(cbrt (* (+ (* x y) z) y))

series806.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
203.0ms	(cbrt (* (+ (* x y) z) y))
185.0ms	(cbrt (* (+ (* x y) z) y))
183.0ms	(cbrt (* (+ (* x y) z) y))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.7s)

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

prune452.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (+ (* x y) z))
6.9b	(cbrt (* (+ (* x y) z) y))
6.9b	(cbrt (* (+ (* x y) z) y))

rewrite34.0ms

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:

1.0ms	(cbrt y)
6.0ms	(cbrt (+ (* x y) z))
10.0ms	(cbrt (* (+ (* x y) z) y))
16.0ms	(cbrt (* (+ (* x y) z) y))

series760.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt y)
156.0ms	(cbrt (+ (* x y) z))
174.0ms	(cbrt (* (+ (* x y) z) y))
192.0ms	(cbrt (* (+ (* x y) z) y))

simplify3.8s

Counts

58 → 58

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	123	711
1	281	692
2	663	639
3	1608	588
4	4183	563
done	5001	557

prune351.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
6.9b	(cbrt (* (+ (* x y) z) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt y)
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
12.0ms	(cbrt (* (+ (* x y) z) y))

series748.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt y)
153.0ms	(cbrt (+ (* x y) z))
157.0ms	(cbrt (+ (* x y) z))
167.0ms	(cbrt (* (+ (* x y) z) y))

simplify3.5s

Counts

60 → 60

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	123	688
1	281	666
2	663	617
3	1608	578
4	4183	555
done	5001	549

prune394.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

616.0ms

11269×

body

valid