Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	243×	body	80	valid
3.0ms	26×	body	640	valid
3.0ms	18×	body	1280	valid
2.0ms	23×	body	320	valid
1.0ms	8×	body	2560	valid
1.0ms	12×	body	160	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (22.0ms)

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite8.0ms

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:

7.0ms

(* y (- x z))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* y (- x z))

simplify61.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (7.0ms)

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

prune44.0ms

Filtered

29 candidates to 17 candidates (58.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Merged error: 0b

Counts

30 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

4.5b	(- (* x x) (* z z))
10.3b	(* y (- (* x x) (* z z)))
18.1b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

4.0ms	(- (* x x) (* z z))
7.0ms	(* y (- (* x x) (* z z)))
11.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series222.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x x) (* z z))
88.0ms	(* y (- (* x x) (* z z)))
95.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify65.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	309	479
1	1609	402
2	5001	375

prune133.0ms

Filtered

74 candidates to 48 candidates (64.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	2	76

Merged error: 0b

Counts

76 → 2

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample807.0ms

Algorithm

intervals

Results

222.0ms	6999×	body	80	valid
142.0ms	938×	body	1280	valid
121.0ms	970×	body	640	valid
50.0ms	579×	body	320	valid
39.0ms	223×	body	2560	valid
19.0ms	319×	body	160	valid