Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	298×	body	80	valid
2.0ms	14×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	6×	body	160	valid

simplify73.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 186

Calls

3 calls:

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

series107.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- (/ 2.0 3.0) z)
40.0ms	(* 6.0 (- (/ 2.0 3.0) z))
49.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	453	2251
1	1592	1519
2	5002	1387

prune227.0ms

Filtered

195 candidates to 79 candidates (40.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	189	6	195
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	189	8	197

Merged error: 0.0b

Counts

197 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.1b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 304

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
11.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
19.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series156.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
32.0ms	(* (- y x) 6.0)
58.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
47.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify121.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1016	3937
1	4362	2939
2	5001	2939

prune574.0ms

Filtered

316 candidates to 178 candidates (56.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	313	3	316
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	317	7	324

Merged error: 0.0b

Counts

324 → 7

localize12.0ms

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)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

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

series843.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt x) (cbrt x))
171.0ms	(cbrt x)
177.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune246.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series695.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
171.0ms	(cbrt x)
177.0ms	(cbrt x)
169.0ms	(cbrt x)

simplify137.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune215.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

regimes141.0ms

Accuracy

0% (0.5b 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	20	21
1	20	21

end0.0ms

sample712.0ms

Algorithm

intervals

Results

378.0ms	9393×	body	80	valid
39.0ms	265×	body	640	valid
28.0ms	142×	body	1280	valid
21.0ms	194×	body	320	valid
10.0ms	143×	body	160	valid