Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	242×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify322.0ms

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	909	4
11	1271	4
12	3921	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))

rewrite15.0ms

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:

14.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	285	224
1	1144	213
2	5001	208

prune64.0ms

Filtered

29 candidates to 20 candidates (69.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize10.0ms

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)))

rewrite85.0ms

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:

32.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
14.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
12.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
12.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

495.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
242.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
244.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
247.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	521	3831
1	2116	3721
2	5003	3421

prune515.0ms

Filtered

198 candidates to 109 candidates (55.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	195	8	203

Merged error: 0.0b

Counts

203 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

12.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
13.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
17.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
13.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
337.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
344.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
344.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	384	1372
1	1333	1322
2	5001	1310

prune425.0ms

Filtered

105 candidates to 85 candidates (81.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.5b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

302×	`*-un-lft-identity`
296×	`cbrt-prod`
288×	`cbrt-div`
156×	`distribute-lft-out`
150×	`flip3-+` `flip-+`
132×	`associate-*r/`
120×	`frac-add`
72×	`frac-times` `associate-l`
60×	`swap-sqr`
42×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`associate-r`
12×	`associate-*l/`
8×	`unswap-sqr`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`*-commutative`

Counts

4 → 278

Calls

4 calls:

34.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
39.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
13.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
13.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.6s

Counts

4 → 12

Calls

4 calls:

447.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
447.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
343.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
335.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify121.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	624	7532
1	1828	7456
2	5001	7114

prune1.0s

Filtered

290 candidates to 146 candidates (50.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	289	9	298

Merged error: 0.0b

Counts

298 → 9

regimes126.0ms

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

sample381.0ms

Algorithm

intervals

Results

170.0ms	7444×	body	80	valid
17.0ms	182×	body	1280	valid
12.0ms	160×	body	640	valid
7.0ms	116×	body	320	valid
5.0ms	43×	body	2560	valid
3.0ms	64×	body	160	valid