Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	234×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	160	valid

simplify309.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (30.0ms)

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

prune57.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)

series55.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* 2 (+ x y)) x)
25.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify70.0ms

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

prune61.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize10.0ms

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))

rewrite38.0ms

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:

15.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
9.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))

series928.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
217.0ms	(cbrt (+ (* 2 (+ x y)) x))
232.0ms	(cbrt (+ (* 2 (+ x y)) x))
222.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

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

prune275.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Merged error: 0.0b

Counts

104 → 7

localize18.0ms

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
14.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (+ (* 2 (+ x y)) x))
349.0ms	(cbrt (+ (* 2 (+ x y)) x))
215.0ms	(cbrt (+ (* 2 (+ x y)) x))
338.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

simplify77.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	291	831
1	744	783
2	2956	760
3	5001	747

prune245.0ms

Filtered

68 candidates to 57 candidates (83.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

regimes85.0ms

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

sample370.0ms

Algorithm

intervals

Results

158.0ms	7388×	body	80	valid
26.0ms	181×	body	1280	valid
15.0ms	190×	body	640	valid
8.0ms	135×	body	320	valid
5.0ms	41×	body	2560	valid
3.0ms	75×	body	160	valid