Details

sample38.0ms

Algorithm

intervals

Results

8.0ms	212×	body	80	valid
6.0ms	38×	body	1280	valid
5.0ms	37×	body	640	valid
3.0ms	27×	body	320	valid
1.0ms	21×	body	160	valid
1.0ms	4×	body	2560	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (168.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	68	9
3	156	7
4	525	5
5	1652	5
done	5000	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite40.0ms

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:

39.0ms

(* (- x z) y)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (- x z) y)

simplify4.2s

Counts

25 → 25

Iterations

Useful iterations: 3 (377.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	341	162
3	1216	158
4	4158	158
done	5001	158

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (* z z) (* x z))
2.2b	(- (pow x 3) (pow z 3))
5.1b	(* (- (pow x 3) (pow z 3)) y)
36.5b	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

rewrite269.0ms

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:

13.0ms	(+ (* z z) (* x z))
24.0ms	(- (pow x 3) (pow z 3))
129.0ms	(* (- (pow x 3) (pow z 3)) y)
97.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* z z) (* x z))
84.0ms	(- (pow x 3) (pow z 3))
113.0ms	(* (- (pow x 3) (pow z 3)) y)
120.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

simplify1.8s

Counts

125 → 125

Iterations

Useful iterations: 2 (338.0ms)

Iter	Nodes	Cost
0	168	1985
1	444	1749
2	1911	1579
done	5000	1579

prune471.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt x) (sqrt z))
0.0b	(+ (sqrt x) (sqrt z))
0.0b	(* (- (sqrt x) (sqrt z)) y)
0.1b	(* (+ (sqrt x) (sqrt z)) (* (- (sqrt x) (sqrt z)) y))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`add-log-exp` `difference-of-squares`
7×	`add-cube-cbrt`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

12.0ms	(- (sqrt x) (sqrt z))
10.0ms	(+ (sqrt x) (sqrt z))
41.0ms	(* (- (sqrt x) (sqrt z)) y)
168.0ms	(* (+ (sqrt x) (sqrt z)) (* (- (sqrt x) (sqrt z)) y))

series416.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (sqrt x) (sqrt z))
64.0ms	(+ (sqrt x) (sqrt z))
85.0ms	(* (- (sqrt x) (sqrt z)) y)
211.0ms	(* (+ (sqrt x) (sqrt z)) (* (- (sqrt x) (sqrt z)) y))

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: 2 (311.0ms)

Iter	Nodes	Cost
0	127	1343
1	334	1043
2	1320	888
done	5001	888

prune358.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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

sample2.1s

Algorithm

intervals

Results

589.0ms	7063×	body	80	valid
353.0ms	921×	body	1280	valid
280.0ms	840×	body	640	valid
173.0ms	229×	body	2560	valid
96.0ms	560×	body	320	valid
89.0ms	549×	body	160	valid