Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	230×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify303.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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	907	4
11	1267	4
12	3904	4
13	5001	4

prune4.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

13.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	277	224
1	1099	213
2	5002	208

prune49.0ms

Filtered

29 candidates to 20 candidates (69.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

173×	`*-un-lft-identity`
102×	`cbrt-div`
93×	`cbrt-prod`
90×	`distribute-lft-out`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
40×	`associate-l`
36×	`frac-times`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `associate-*l/`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 186

Calls

4 calls:

33.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
257.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
254.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
256.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	513	3831
1	2063	3721
2	5002	3421

prune428.0ms

Filtered

198 candidates to 109 candidates (55.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	196	6	202

Merged error: 0.0b

Counts

202 → 6

localize196.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
28×	`cbrt-prod`
24×	`cbrt-div` `distribute-lft-out`
20×	`flip3-+` `flip-+`
16×	`associate-*r/` `frac-add`
8×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 84

Calls

4 calls:

12.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
253.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
259.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
258.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	304	1132
1	1135	1088
2	5002	1076

prune309.0ms

Filtered

96 candidates to 76 candidates (79.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
28×	`cbrt-prod`
24×	`cbrt-div` `distribute-lft-out`
20×	`flip3-+` `flip-+`
16×	`associate-*r/` `frac-add`
8×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 84

Calls

4 calls:

11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
12.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
14.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
257.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
258.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
254.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	304	1132
1	1135	1088
2	5002	1076

prune285.0ms

Filtered

96 candidates to 76 candidates (79.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample361.0ms

Algorithm

intervals

Results

156.0ms	7405×	body	80	valid
20.0ms	189×	body	1280	valid
14.0ms	191×	body	640	valid
8.0ms	134×	body	320	valid
3.0ms	30×	body	2560	valid
2.0ms	59×	body	160	valid