Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

351×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	20	9
3	41	9
4	59	9
5	63	9
done	63	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)

rewrite62.0ms

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:

18.0ms	(+ (* (+ (* x y) z) y) t)
12.0ms	(+ (* x y) z)
30.0ms	(* (+ (* x y) z) y)

series144.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* (+ (* x y) z) y) t)
27.0ms	(+ (* x y) z)
42.0ms	(* (+ (* x y) z) y)

simplify557.0ms

Counts

51 → 51

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	80	569
1	213	546
2	893	504
done	5002	504

prune181.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

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:

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt y) (cbrt y))
252.0ms	(cbrt y)
262.0ms	(cbrt y)
267.0ms	(cbrt y)

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

prune305.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
6.4b	(cbrt (* (+ (* x y) z) y))
6.4b	(cbrt (* (+ (* x y) z) y))
6.4b	(cbrt (* (+ (* x y) z) y))

rewrite81.0ms

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:

36.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
22.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))

series767.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
169.0ms	(cbrt (* (+ (* x y) z) y))
197.0ms	(cbrt (* (+ (* x y) z) y))
175.0ms	(cbrt (* (+ (* x y) z) y))

simplify766.0ms

Counts

84 → 84

Iterations

Useful iterations: done (763.0ms)

Iter	Nodes	Cost
0	152	1616
1	378	1501
2	1263	1378
done	5000	1271

prune422.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) z))
0.6b	(cbrt y)
6.4b	(cbrt (* (+ (* x y) z) y))
6.4b	(cbrt (* (+ (* x y) z) y))

rewrite30.0ms

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:

6.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)
10.0ms	(cbrt (* (+ (* x y) z) y))
12.0ms	(cbrt (* (+ (* x y) z) y))

series713.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (+ (* x y) z))
238.0ms	(cbrt y)
160.0ms	(cbrt (* (+ (* x y) z) y))
171.0ms	(cbrt (* (+ (* x y) z) y))

simplify2.5s

Counts

58 → 58

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	123	711
1	284	692
2	817	639
3	3564	588
done	5000	563

prune332.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

615.0ms

11378×

body

valid