Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	316×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	6
1	51	5
2	172	5
3	481	5
4	1241	5
5	3102	5
6	5001	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-sqr-sqrt`
205×	`*-un-lft-identity`
195×	`prod-diff`
188×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
29×	`associate-l`
16×	`div-inv`
13×	`fma-neg`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`flip3--` `flip--` `add-log-exp`
6×	`difference-of-squares`
5×	`sub-neg` `distribute-lft-out--` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `*-commutative`
2×	`associate-*r/`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 323

Calls

4 calls:

10.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
25.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
21.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series161.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
28.0ms	(* (- y x) 6.0)
67.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify122.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1044	4059
1	4479	3057
2	5001	3057

prune706.0ms

Filtered

335 candidates to 192 candidates (57.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	327	8	335
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	329	8	337

Merged error: 0.0b

Counts

337 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (- z) (* (- y x) 6.0)))
0.2b	(* (- z) (* (- y x) 6.0))
0.3b	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.3b	(* (/ 2.0 3.0) (- y x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
37×	`add-cube-cbrt`
30×	`associate-l`
22×	`associate-r`
18×	`frac-times` `prod-diff`
14×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `flip--`
10×	`times-frac`
9×	`associate-/r` `associate-/l`
6×	`add-log-exp` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `distribute-rgt-neg-in` `associate-*r/` `pow-prod-down` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `fma-def` `frac-2neg` `clear-num` `*-commutative` `distribute-lft-out`
2×	`sub-neg` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `neg-mul-1` `associate-+l+` `flip3-+` `div-exp` `unsub-neg` `sum-log` `flip-+` `div-inv`

Counts

4 → 163

Calls

4 calls:

18.0ms	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (- z) (* (- y x) 6.0)))
12.0ms	(* (- z) (* (- y x) 6.0))
1.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
11.0ms	(* (/ 2.0 3.0) (- y x))

series193.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (- z) (* (- y x) 6.0)))
44.0ms	(* (- z) (* (- y x) 6.0))
49.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
30.0ms	(* (/ 2.0 3.0) (- y x))

simplify96.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	877	1239
1	4268	1047
2	5001	1044

prune425.0ms

Filtered

175 candidates to 121 candidates (69.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	175	8	183

Merged error: 0.0b

Counts

183 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series737.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt x) (cbrt x))
171.0ms	(cbrt x)
170.0ms	(cbrt x)
199.0ms	(cbrt x)

simplify93.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3275	261
3	5001	258

prune269.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	6	6
Picked	0	1	1
Done	1	0	1
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.4b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
117×	`add-cube-cbrt` `prod-diff`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
9×	`associate-r`
8×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out--`
2×	`associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `fma-udef`

Counts

4 → 210

Calls

4 calls:

14.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
14.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series144.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
29.0ms	(* (- y x) 6.0)
45.0ms	(* 6.0 (- (/ 2.0 3.0) z))
51.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	542	2345
1	2034	1603
2	5002	1519

prune409.0ms

Filtered

222 candidates to 99 candidates (44.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	222	8	230

Merged error: 0.0b

Counts

230 → 8

regimes136.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample532.0ms

Algorithm

intervals

Results

262.0ms	9286×	body	80	valid
28.0ms	257×	body	640	valid
23.0ms	162×	body	1280	valid
13.0ms	177×	body	320	valid
5.0ms	103×	body	160	valid