Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	238×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify333.0ms

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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

15.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
6.0ms	(+ (+ x y) y)
8.0ms	(+ (+ (+ x y) y) x)

series79.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
26.0ms	(+ (+ x y) y)
31.0ms	(+ (+ (+ x y) y) x)

simplify30.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5002	270

prune81.0ms

Filtered

62 candidates to 37 candidates (59.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

20.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
8.0ms	(cbrt (+ (+ (+ x y) y) x))
8.0ms	(cbrt (+ (+ (+ x y) y) x))
8.0ms	(cbrt (+ (+ (+ x y) y) x))

series921.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
223.0ms	(cbrt (+ (+ (+ x y) y) x))
214.0ms	(cbrt (+ (+ (+ x y) y) x))
215.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100

prune267.0ms

Filtered

129 candidates to 78 candidates (60.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

365×	`*-un-lft-identity`
255×	`distribute-lft-out`
120×	`cbrt-prod`
41×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 147

Calls

4 calls:

13.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
16.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
13.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
35.0ms	(* (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)) (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
258.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
258.0ms	(cbrt (+ (+ (+ (+ (+ x y) y) x) z) x))
315.0ms	(* (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)) (cbrt (+ (+ (+ (+ (+ x y) y) x) z) x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	267	2189
1	1008	2096
2	5001	1679

prune257.0ms

Filtered

159 candidates to 78 candidates (49.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	159	5	164

Merged error: 0.0b

Counts

164 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ (+ x y) y) x)
0.2b	(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
75×	`distribute-lft-out`
54×	`sqrt-prod`
27×	`add-log-exp`
24×	`add-sqr-sqrt`
23×	`swap-sqr`
19×	`pow1`
15×	`sum-log`
12×	`add-cube-cbrt` `sqrt-div`
9×	`flip3-+` `associate-r` `associate-l` `flip-+`
8×	`sqrt-pow1` `pow1/2`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`+-commutative` `associate-+l+` `pow-prod-down` `pow-sqr`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 127

Calls

4 calls:

6.0ms	(+ (+ x y) y)
9.0ms	(+ (+ (+ x y) y) x)
9.0ms	(+ (+ (+ x y) y) x)
25.0ms	(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ x y) y)
30.0ms	(+ (+ (+ x y) y) x)
30.0ms	(+ (+ (+ x y) y) x)
49.0ms	(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	274	767
1	1171	661
2	5001	626

prune179.0ms

Filtered

139 candidates to 64 candidates (46.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	139	5	144

Merged error: 0.0b

Counts

144 → 5

regimes93.0ms

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	13	5
1	13	5

end0.0ms

sample369.0ms

Algorithm

intervals

Results

160.0ms	7448×	body	80	valid
17.0ms	179×	body	1280	valid
16.0ms	179×	body	640	valid
6.0ms	108×	body	320	valid
4.0ms	31×	body	2560	valid
2.0ms	62×	body	160	valid