Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

370×

body

valid

simplify30.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

29.0ms	(+ (* (+ (* x y) z) y) t)
49.0ms	(* (+ (* x y) z) y)

series137.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+ (* (+ (* x y) z) y) t)
48.0ms	(* (+ (* x y) z) y)

simplify1.8s

Counts

37 → 37

Iterations

Useful iterations: 3 (730.0ms)

Iter	Nodes	Cost
0	70	445
1	187	425
2	606	383
3	2125	377
done	5000	377

prune124.0ms

Pruning

7 alts after pruning (6 fresh and 1 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)))
7.2b	(cbrt (* (+ (* x y) z) y))
7.2b	(cbrt (* (+ (* x y) z) y))
7.2b	(cbrt (* (+ (* x y) z) y))

rewrite92.0ms

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:

51.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
16.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))
12.0ms	(cbrt (* (+ (* x y) z) y))

series825.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
189.0ms	(cbrt (* (+ (* x y) z) y))
174.0ms	(cbrt (* (+ (* x y) z) y))
187.0ms	(cbrt (* (+ (* x y) z) y))

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: done (1.9s)

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

prune419.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (+ (* x y) z))
7.2b	(cbrt (* (+ (* x y) z) y))
7.2b	(cbrt (* (+ (* x y) z) y))

rewrite55.0ms

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:

2.0ms	(cbrt y)
12.0ms	(cbrt (+ (* x y) z))
27.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))

series822.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt y)
153.0ms	(cbrt (+ (* x y) z))
165.0ms	(cbrt (* (+ (* x y) z) y))
198.0ms	(cbrt (* (+ (* x y) z) y))

simplify3.6s

Counts

58 → 58

Iterations

Useful iterations: done (3.6s)

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

prune374.0ms

Pruning

7 alts after pruning (4 fresh and 3 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)))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))

rewrite81.0ms

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:

59.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))

series703.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
162.0ms	(cbrt (+ (* x y) z))
155.0ms	(cbrt (+ (* x y) z))
149.0ms	(cbrt (+ (* x y) z))

simplify4.0s

Counts

99 → 99

Iterations

Useful iterations: done (4.0s)

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

prune436.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes338.0ms

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

546.0ms

11284×

body

valid