Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	237×	body	80	valid
1.0ms	10×	body	640	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid

simplify157.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	57	9
3	134	9
4	187	9
5	194	9
done	194	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+ x (+ z (* 2 (+ x y))))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ x (+ z (* 2 (+ x y))))

simplify702.0ms

Counts

17 → 17

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	38	232
1	112	221
2	320	203
3	1519	203
done	5001	203

prune39.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* 3 x) (+ z (* 2 y)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify849.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	34	225
1	114	212
2	378	194
3	1415	194
done	5001	194

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x z) (* 2 (+ x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

15.0ms

(+ (+ x z) (* 2 (+ x y)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (+ x z) (* 2 (+ x y)))

simplify1.5s

Counts

22 → 22

Iterations

Useful iterations: 3 (421.0ms)

Iter	Nodes	Cost
0	78	433
1	254	406
2	955	388
3	4410	372
done	5000	372

prune48.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (* 2 (+ x y)) 3)
3.1b	(+ (* (* 2 (+ x y)) (- (* 2 (+ x y)) (+ x z))) (* (+ x z) (+ x z)))
5.1b	(+ (pow (+ x z) 3) (pow (* 2 (+ x y)) 3))
44.3b	(/ (+ (pow (+ x z) 3) (pow (* 2 (+ x y)) 3)) (+ (* (* 2 (+ x y)) (- (* 2 (+ x y)) (+ x z))) (* (+ x z) (+ x z))))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

602×	`associate-*r/`
557×	`flip3-+` `flip-+`
352×	`frac-times`
328×	`frac-add`
192×	`frac-sub`
162×	`associate-/r/`
112×	`associate-*l/`
48×	`flip3--` `flip--`
25×	`*-un-lft-identity`
18×	`cube-div`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-+l+` `add-log-exp`
7×	`pow1` `distribute-rgt-in` `distribute-lft-in`
6×	`associate-/l/`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate--l+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `sub-neg` `associate-+r+` `pow-pow` `pow-exp` `sum-log` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `sqr-pow`

Counts

4 → 425

Calls

4 calls:

5.0ms	(pow (* 2 (+ x y)) 3)
47.0ms	(+ (* (* 2 (+ x y)) (- (* 2 (+ x y)) (+ x z))) (* (+ x z) (+ x z)))
37.0ms	(+ (pow (+ x z) 3) (pow (* 2 (+ x y)) 3))
163.0ms	(/ (+ (pow (+ x z) 3) (pow (* 2 (+ x y)) 3)) (+ (* (* 2 (+ x y)) (- (* 2 (+ x y)) (+ x z))) (* (+ x z) (+ x z))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(pow (* 2 (+ x y)) 3)
94.0ms	(+ (* (* 2 (+ x y)) (- (* 2 (+ x y)) (+ x z))) (* (+ x z) (+ x z)))
266.0ms	(+ (pow (+ x z) 3) (pow (* 2 (+ x y)) 3))
145.0ms	(/ (+ (pow (+ x z) 3) (pow (* 2 (+ x y)) 3)) (+ (* (* 2 (+ x y)) (- (* 2 (+ x y)) (+ x z))) (* (+ x z) (+ x z))))

simplify945.0ms

Counts

437 → 437

Iterations

Useful iterations: done (910.0ms)

Iter	Nodes	Cost
0	1016	37553
1	2929	34680
done	5001	34676

prune2.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes73.0ms

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	9	9
1	13	9
done	13	9

end0.0ms

sample383.0ms

Algorithm

intervals

Results

165.0ms	7371×	body	80	valid
19.0ms	197×	body	1280	valid
18.0ms	200×	body	640	valid
8.0ms	131×	body	320	valid
4.0ms	37×	body	2560	valid
3.0ms	69×	body	160	valid