Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	230×	body	80	valid
2.0ms	14×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	160	valid

simplify302.0ms

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

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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))

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))

simplify33.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (30.0ms)

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

prune46.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (* 2 (+ x y)) x)
8.0ms	(+ (+ (* 2 (+ x y)) x) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* 2 (+ x y)) x)
8.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify71.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune46.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

14.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
5.0ms	(cbrt (+ (* 2 (+ x y)) x))
5.0ms	(cbrt (+ (* 2 (+ x y)) x))
5.0ms	(cbrt (+ (* 2 (+ x y)) x))

series139.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
32.0ms	(cbrt (+ (* 2 (+ x y)) x))
33.0ms	(cbrt (+ (* 2 (+ x y)) x))
32.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	310	1085
1	1083	1020
2	5001	949

prune231.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))

series128.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (* 2 (+ x y)) x))
31.0ms	(cbrt (+ (* 2 (+ x y)) x))
31.0ms	(cbrt (+ (* 2 (+ x y)) x))
33.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	170	592
1	478	556
2	2052	536
3	5002	520

prune228.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

regimes200.0ms

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

sample515.0ms

Algorithm

intervals

Results

193.0ms	7412×	body	80	valid
25.0ms	196×	body	1280	valid
16.0ms	169×	body	640	valid
9.0ms	123×	body	320	valid
6.0ms	43×	body	2560	valid
3.0ms	67×	body	160	valid

Details

sample20.0ms

simplify302.0ms

prune7.0ms

localize6.0ms

rewrite8.0ms

series6.0ms

simplify33.0ms

prune46.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify71.0ms

prune46.0ms

localize12.0ms

rewrite33.0ms

series139.0ms

simplify43.0ms

prune231.0ms

localize15.0ms

rewrite24.0ms

series128.0ms

simplify55.0ms

prune228.0ms

regimes200.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample515.0ms

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