Details

sample62.0ms

Algorithm

intervals

Results

19.0ms	212×	body	80	valid
10.0ms	41×	body	1280	valid
7.0ms	40×	body	640	valid
4.0ms	30×	body	320	valid
1.0ms	4×	body	2560	valid
1.0ms	12×	body	160	valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	9	15
1	21	15
2	72	7
3	197	5
4	585	5
5	1924	5
done	5001	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite26.0ms

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×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

26.0ms

(* (- x z) y)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (- x z) y)

simplify5.0s

Counts

27 → 27

Iterations

Useful iterations: 3 (433.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	349	174
3	1285	170
4	4544	170
done	5000	170

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

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))))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
133×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
99×	`unpow-prod-down` `cube-prod`
83×	`add-cube-cbrt`
41×	`sqr-pow`
32×	`difference-of-squares`
25×	`cube-mult` `unpow3` `associate-l`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
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` `fma-def` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 278

Calls

4 calls:

17.0ms	(+ (* z z) (* x z))
69.0ms	(- (pow x 3) (pow z 3))
128.0ms	(* (- (pow x 3) (pow z 3)) y)
133.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* z z) (* x z))
79.0ms	(- (pow x 3) (pow z 3))
84.0ms	(* (- (pow x 3) (pow z 3)) y)
127.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

simplify2.3s

Counts

290 → 290

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	304	7457
1	729	4381
2	2724	3402
done	5001	3400

prune703.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod`
53×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-cube-cbrt`
14×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`add-log-exp` `difference-of-squares`
6×	`fma-def` `fma-neg`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

14.0ms	(- (sqrt x) (sqrt z))
11.0ms	(+ (sqrt x) (sqrt z))
79.0ms	(* (- (sqrt x) (sqrt z)) y)
156.0ms	(* (+ (sqrt x) (sqrt z)) (* (- (sqrt x) (sqrt z)) y))

series497.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (sqrt x) (sqrt z))
81.0ms	(+ (sqrt x) (sqrt z))
80.0ms	(* (- (sqrt x) (sqrt z)) y)
243.0ms	(* (+ (sqrt x) (sqrt z)) (* (- (sqrt x) (sqrt z)) y))

simplify1.0s

Counts

153 → 153

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	191	2557
1	465	1815
2	1620	1437
done	5002	1305

prune430.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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

sample2.2s

Algorithm

intervals

Results

835.0ms	7064×	body	80	valid
316.0ms	954×	body	1280	valid
310.0ms	923×	body	640	valid
137.0ms	637×	body	320	valid
66.0ms	228×	body	2560	valid
39.0ms	356×	body	160	valid