Details

sample33.0ms

Algorithm

intervals

Results

12.0ms	242×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify335.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	61	11
3	145	9
4	224	9
5	229	9
done	229	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

25.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify1.1s

Counts

17 → 17

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	38	232
1	111	221
2	385	203
3	1904	203
done	5000	203

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))
0.0b	(sqrt (+ x (+ z (* 2 (+ x y)))))
0.0b	(sqrt (+ x (+ z (* 2 (+ x y)))))
0.3b	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

14.0ms	(+ x (+ z (* 2 (+ x y))))
20.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
30.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
107.0ms	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (+ z (* 2 (+ x y))))
125.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
111.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
64.0ms	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

simplify3.0s

Counts

120 → 120

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	130	2683
1	286	1895
2	889	1759
3	3726	1695
done	5001	1661

prune344.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z (* 2 (+ x y))) (- (+ z (* 2 (+ x y))) x))
0.0b	(pow (+ z (* 2 (+ x y))) 3)
3.1b	(+ (pow x 3) (pow (+ z (* 2 (+ x y))) 3))
44.0b	(/ (+ (pow x 3) (pow (+ z (* 2 (+ x y))) 3)) (+ (* x x) (* (+ z (* 2 (+ x y))) (- (+ z (* 2 (+ x y))) x))))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `times-frac`
25×	`distribute-lft-out`
23×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
7×	`pow1` `flip3-+` `flip-+`
6×	`add-log-exp`
5×	`associate-r` `sum-cubes`
4×	`frac-times`
3×	`distribute-rgt-in` `pow-unpow` `flip3--` `distribute-lft-in` `associate-l` `associate-/r*` `flip--`
2×	`cube-div` `sub-neg` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 131

Calls

4 calls:

143.0ms	(* (+ z (* 2 (+ x y))) (- (+ z (* 2 (+ x y))) x))
8.0ms	(pow (+ z (* 2 (+ x y))) 3)
34.0ms	(+ (pow x 3) (pow (+ z (* 2 (+ x y))) 3))
176.0ms	(/ (+ (pow x 3) (pow (+ z (* 2 (+ x y))) 3)) (+ (* x x) (* (+ z (* 2 (+ x y))) (- (+ z (* 2 (+ x y))) x))))

series1.3s

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (+ z (* 2 (+ x y))) (- (+ z (* 2 (+ x y))) x))
301.0ms	(pow (+ z (* 2 (+ x y))) 3)
558.0ms	(+ (pow x 3) (pow (+ z (* 2 (+ x y))) 3))
291.0ms	(/ (+ (pow x 3) (pow (+ z (* 2 (+ x y))) 3)) (+ (* x x) (* (+ z (* 2 (+ x y))) (- (+ z (* 2 (+ x y))) x))))

simplify2.8s

Counts

143 → 143

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	230	4964
1	631	4704
2	3115	4420
done	5000	4420

prune593.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

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	8	9
1	12	9
done	12	9

end0.0ms

sample974.0ms

Algorithm

intervals

Results

487.0ms	7387×	body	80	valid
37.0ms	207×	body	640	valid
35.0ms	187×	body	1280	valid
16.0ms	125×	body	320	valid
9.0ms	36×	body	2560	valid
6.0ms	70×	body	160	valid