Details

sample40.0ms

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

simplify9.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (209.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	77	8
3	200	7
4	607	5
5	1872	5
done	5000	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite41.0ms

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:

39.0ms

(* (- x z) y)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (- x z) y)

simplify4.5s

Counts

27 → 27

Iterations

Useful iterations: 3 (447.0ms)

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

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

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))))

rewrite294.0ms

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:

9.0ms	(+ (* z z) (* x z))
40.0ms	(- (pow x 3) (pow z 3))
123.0ms	(* (- (pow x 3) (pow z 3)) y)
100.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* z z) (* x z))
95.0ms	(- (pow x 3) (pow z 3))
89.0ms	(* (- (pow x 3) (pow z 3)) y)
113.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

simplify2.2s

Counts

290 → 290

Iterations

Useful iterations: done (2.2s)

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

prune615.0ms

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))

rewrite241.0ms

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:

30.0ms	(- (sqrt x) (sqrt z))
17.0ms	(+ (sqrt x) (sqrt z))
66.0ms	(* (- (sqrt x) (sqrt z)) y)
120.0ms	(* (+ (sqrt x) (sqrt z)) (* (- (sqrt x) (sqrt z)) y))

series445.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (sqrt x) (sqrt z))
71.0ms	(+ (sqrt x) (sqrt z))
79.0ms	(* (- (sqrt x) (sqrt z)) y)
221.0ms	(* (+ (sqrt x) (sqrt z)) (* (- (sqrt x) (sqrt z)) y))

simplify1.4s

Counts

153 → 153

Iterations

Useful iterations: done (1.3s)

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

prune459.0ms

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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

569.0ms	7063×	body	80	valid
529.0ms	560×	body	320	valid
283.0ms	921×	body	1280	valid
163.0ms	840×	body	640	valid
119.0ms	229×	body	2560	valid
101.0ms	549×	body	160	valid