Details

sample25.0ms

Algorithm

intervals

Results

6.0ms	225×	body	80	valid
4.0ms	29×	body	1280	valid
3.0ms	28×	body	640	valid
1.0ms	21×	body	160	valid
1.0ms	13×	body	320	valid
1.0ms	6×	body	2560	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	22	6
1	65	6
2	175	4
3	402	3
4	919	2
5	2892	2
6	5001	2

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	(* y (- x z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

10.0ms

(* y (- x z))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* y (- x z))

simplify44.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.2b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
3.1b	(sqrt (* y (- x z)))
3.1b	(sqrt (* y (- x z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* y (- x z))
27.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
3.0ms	(sqrt (* y (- x z)))
4.0ms	(sqrt (* y (- x z)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- x z))
103.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
55.0ms	(sqrt (* y (- x z)))
56.0ms	(sqrt (* y (- x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	254	526
1	1160	473
2	5001	449

prune190.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

6.0ms	(- (sqrt x) (sqrt z))
6.0ms	(+ (sqrt x) (sqrt z))
24.0ms	(* y (+ (sqrt x) (sqrt z)))
41.0ms	(* (* y (+ (sqrt x) (sqrt z))) (- (sqrt x) (sqrt z)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (sqrt x) (sqrt z))
50.0ms	(+ (sqrt x) (sqrt z))
51.0ms	(* y (+ (sqrt x) (sqrt z)))
161.0ms	(* (* y (+ (sqrt x) (sqrt z))) (- (sqrt x) (sqrt z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	433	806
1	2287	641
2	5003	632

prune189.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample737.0ms

Algorithm

intervals

Results

201.0ms	6998×	body	80	valid
118.0ms	909×	body	1280	valid
103.0ms	999×	body	640	valid
52.0ms	651×	body	320	valid
34.0ms	207×	body	2560	valid
19.0ms	367×	body	160	valid