Details

analyze330.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

6.0ms	239×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify310.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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	3907	4
13	5001	4

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

8.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

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

prune36.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 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)))
0.3b	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite55.0ms

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:

8.0ms	(+ (* 2 (+ x y)) (+ x z))
7.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
20.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* 2 (+ x y)) (+ x z))
11.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
14.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify87.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	520	2852
1	2294	2780
2	5002	2759

prune227.0ms

Filtered

102 candidates to 166 candidates (-62.7%)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x z) (+ x z))
0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
16.3b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
37.1b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

276×	`associate-*r/`
208×	`flip3-+` `flip-+`
136×	`frac-times`
132×	`frac-sub`
68×	`associate-*l/`
66×	`associate-/l/`
50×	`pow1`
31×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt`
12×	`times-frac`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`prod-exp` `cbrt-unprod`
7×	`swap-sqr`
6×	`associate-/r/` `distribute-lft-out` `add-log-exp`
5×	`associate-r` `associate-l` `pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`associate--l+` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `*-commutative` `associate--r+`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 273

Calls

4 calls:

8.0ms	(* (+ x z) (+ x z))
11.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
15.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
30.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (+ x z) (+ x z))
5.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
20.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
23.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1639	4958
1	5001	4841

prune431.0ms

Filtered

183 candidates to 285 candidates (-55.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	284	1	285
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	284	4	288

Merged error: 0.0b

Counts

288 → 4

localize18.0ms

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)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
74×	`associate-*r/`
68×	`flip3-+` `frac-sub` `flip-+`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
17×	`flip3--` `flip--`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `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 → 139

Calls

4 calls:

20.0ms	(* (cbrt (- (* 2 (+ x y)) (+ x z))) (cbrt (- (* 2 (+ x y)) (+ x z))))
7.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (- (* 2 (+ x y)) (+ x z))) (cbrt (- (* 2 (+ x y)) (+ x z))))
32.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
33.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))
36.0ms	(cbrt (- (* 2 (+ x y)) (+ x z)))

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	524	3307
1	1958	3228
2	5001	3139

prune367.0ms

Filtered

106 candidates to 151 candidates (-42.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	150	5	155

Merged error: 0.0b

Counts

155 → 5

regimes171.0ms

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

analyze324.0ms

Algorithm: search

sample424.0ms

Algorithm

intervals

Results

210.0ms	7410×	body	80	valid
23.0ms	192×	body	1280	valid
19.0ms	188×	body	640	valid
8.0ms	108×	body	320	valid
5.0ms	35×	body	2560	valid
3.0ms	67×	body	160	valid
0.0ms	13×	body	80	invalid

Details

analyze330.0ms

sample19.0ms

simplify310.0ms

prune9.0ms

localize6.0ms

rewrite8.0ms

series6.0ms

simplify35.0ms

prune36.0ms

localize9.0ms

rewrite55.0ms

series43.0ms

simplify87.0ms

prune227.0ms

localize11.0ms

rewrite90.0ms

series51.0ms

simplify81.0ms

prune431.0ms

localize18.0ms

rewrite52.0ms

series140.0ms

simplify78.0ms

prune367.0ms

regimes171.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze324.0ms

sample424.0ms

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