Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

321×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	53	9
5	64	9
6	75	9
7	96	9
8	136	9
9	377	9
10	1748	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

21.0ms	(* (- 1.0 x) z)
14.0ms	(+ (* x y) (* (- 1.0 x) z))

series87.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (- 1.0 x) z)
42.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify553.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	71	405
1	190	379
2	768	345
done	5000	345

prune161.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite35.0ms

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:

26.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (cbrt z) (cbrt z))
304.0ms	(cbrt z)
329.0ms	(cbrt z)
336.0ms	(cbrt z)

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

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (* z z) 1/3) (- 1.0 x))
0.3b	(* (* (pow (* z z) 1/3) (- 1.0 x)) (cbrt z))
0.7b	(cbrt z)
30.7b	(pow (* z z) 1/3)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
16×	`add-sqr-sqrt` `prod-exp`
14×	`pow1`
12×	`*-un-lft-identity`
11×	`associate-r` `add-cbrt-cube`
10×	`add-cube-cbrt`
7×	`cbrt-unprod`
6×	`cbrt-prod` `pow-pow` `associate-l` `pow-exp`
4×	`associate-*r/` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow` `unpow1/3` `unswap-sqr` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `flip--`
1×	`pow2` `pow-plus` `pow1/3` `pow-sqr` `pow-prod-up` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

30.0ms	(* (pow (* z z) 1/3) (- 1.0 x))
65.0ms	(* (* (pow (* z z) 1/3) (- 1.0 x)) (cbrt z))
2.0ms	(cbrt z)
8.0ms	(pow (* z z) 1/3)

series781.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (pow (* z z) 1/3) (- 1.0 x))
64.0ms	(* (* (pow (* z z) 1/3) (- 1.0 x)) (cbrt z))
254.0ms	(cbrt z)
267.0ms	(pow (* z z) 1/3)

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	145	1143
1	376	974
2	1867	858
done	5001	837

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
0.3b	(* (* x y) (* x y))
1.7b	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
27.0b	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

82.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
41.0ms	(* (* x y) (* x y))
49.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
120.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
44.0ms	(* (* x y) (* x y))
109.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
139.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

simplify1.9s

Counts

137 → 137

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	189	3056
1	572	2678
2	3375	2158
done	5000	2136

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

493.0ms

10154×

body

valid