Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	217×	body	80	valid
4.0ms	32×	body	1280	valid
2.0ms	21×	body	640	valid
2.0ms	25×	body	320	valid
1.0ms	9×	body	2560	valid
1.0ms	17×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (108.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	67	9
3	154	7
4	533	5
5	2212	5
done	5000	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

10.0ms

(* (- x z) y)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (- x z) y)

simplify2.4s

Counts

25 → 25

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	344	158
3	1203	158
4	2903	158
done	5000	158

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* y y))
0.0b	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
11.0b	(+ (- (* x y) (* y y)) (* y y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`sum-log`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `distribute-rgt-out--` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--` `distribute-lft-out`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--`

Counts

3 → 46

Calls

3 calls:

2.0ms	(- (* x y) (* y y))
59.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
14.0ms	(+ (- (* x y) (* y y)) (* y y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* x y) (* y y))
40.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
18.0ms	(+ (- (* x y) (* y y)) (* y y))

simplify1.8s

Counts

55 → 55

Iterations

Useful iterations: 3 (687.0ms)

Iter	Nodes	Cost
0	80	825
1	234	503
2	797	387
3	3447	367
done	5000	367

prune108.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* z z) (* x z))
2.6b	(- (pow x 3) (pow z 3))
5.1b	(* (- (pow x 3) (pow z 3)) y)
36.0b	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`difference-of-squares`
28×	`*-un-lft-identity`
25×	`associate-l`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-*l/`
3×	`flip3--` `times-frac` `associate-r` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

3.0ms	(+ (* z z) (* x z))
15.0ms	(- (pow x 3) (pow z 3))
58.0ms	(* (- (pow x 3) (pow z 3)) y)
41.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* z z) (* x z))
57.0ms	(- (pow x 3) (pow z 3))
73.0ms	(* (- (pow x 3) (pow z 3)) y)
90.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

simplify1.1s

Counts

125 → 125

Iterations

Useful iterations: 2 (472.0ms)

Iter	Nodes	Cost
0	168	1985
1	448	1749
2	1863	1579
done	5000	1579

prune314.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample769.0ms

Algorithm

intervals

Results

212.0ms	7066×	body	80	valid
121.0ms	888×	body	1280	valid
97.0ms	900×	body	640	valid
42.0ms	523×	body	320	valid
38.0ms	242×	body	2560	valid
30.0ms	553×	body	160	valid