Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	231×	body	80	valid
1.0ms	12×	body	640	valid
1.0ms	8×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify308.0ms

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))

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))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* 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

prune45.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

6.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	95	81
1	337	74
2	1582	73
3	5001	73

prune31.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Merged error: 0.0b

Counts

20 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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

series134.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
30.0ms	(cbrt (+ (* 2 (+ x y)) x))
32.0ms	(cbrt (+ (* 2 (+ x y)) x))
30.0ms	(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

prune241.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

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

series324.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ (* 2 (+ x y)) x))
32.0ms	(cbrt (+ (* 2 (+ x y)) x))
31.0ms	(cbrt (+ (* 2 (+ x y)) x))
230.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	253	649
1	684	611
2	2779	589
3	5001	574

prune238.0ms

Filtered

58 candidates to 67 candidates (-15.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

regimes189.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample499.0ms

Algorithm

intervals

Results

186.0ms	7407×	body	80	valid
22.0ms	189×	body	1280	valid
17.0ms	191×	body	640	valid
9.0ms	127×	body	320	valid
5.0ms	36×	body	2560	valid
3.0ms	59×	body	160	valid

Details

sample23.0ms

simplify308.0ms

prune7.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify34.0ms

prune45.0ms

localize6.0ms

rewrite6.0ms

series5.0ms

simplify43.0ms

prune31.0ms

localize10.0ms

rewrite35.0ms

series134.0ms

simplify43.0ms

prune241.0ms

localize15.0ms

rewrite25.0ms

series324.0ms

simplify70.0ms

prune238.0ms

regimes189.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample499.0ms

Profiling