Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	244×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify311.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune5.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

9.0ms

(+ (* 2 (+ x y)) (+ x z))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify38.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune53.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0.0b

Counts

23 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.2b	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `associate-*l/` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+`
1×	`+-commutative` `pow2` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 154

Calls

4 calls:

9.0ms	(+ (* 2 (+ x y)) (+ x z))
8.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
22.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* 2 (+ x y)) (+ x z))
71.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
71.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
63.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify97.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	521	2866
1	2210	2777
2	5001	2756

prune421.0ms

Filtered

166 candidates to 102 candidates (61.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	166	3	169

Merged error: 0.0b

Counts

169 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
0.0b	(- (* 2 (+ x y)) (+ x z))
16.9b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
35.0b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

278×	`associate-*r/`
206×	`flip3-+` `flip-+`
136×	`frac-sub`
132×	`frac-times`
66×	`associate-*l/` `associate-/l/`
43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-log-exp`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod`
6×	`associate--l+` `associate-/r/`
5×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*` `associate--r+`
2×	`sub-neg` `pow-plus`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 253

Calls

4 calls:

15.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
15.0ms	(- (* 2 (+ x y)) (+ x z))
22.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
36.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
30.0ms	(- (* 2 (+ x y)) (+ x z))
110.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
89.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1620	4959
1	5001	4839

prune849.0ms

Filtered

265 candidates to 181 candidates (68.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	265	3	268

Merged error: 0.0b

Counts

268 → 3

regimes53.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample383.0ms

Algorithm

intervals

Results

180.0ms	7450×	body	80	valid
18.0ms	179×	body	1280	valid
14.0ms	170×	body	640	valid
8.0ms	121×	body	320	valid
4.0ms	32×	body	2560	valid
3.0ms	59×	body	160	valid