Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify308.0ms

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

prune5.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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

series81.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
35.0ms	(+ (+ (+ x y) y) x)
24.0ms	(+ (+ x y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5001	270

prune94.0ms

Filtered

62 candidates to 37 candidates (59.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

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

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:

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

series52.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (+ (* 2 (+ x y)) x) z)
30.0ms	(+ (* 2 (+ x y)) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (19.0ms)

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

prune64.0ms

Filtered

33 candidates to 23 candidates (69.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize17.0ms

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

series924.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
219.0ms	(cbrt (+ (* 2 (+ x y)) x))
227.0ms	(cbrt (+ (* 2 (+ x y)) x))
219.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

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

prune289.0ms

Filtered

99 candidates to 75 candidates (75.8%)

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

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
8×	`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 → 59

Calls

4 calls:

6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
7.0ms	(cbrt (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:

226.0ms	(cbrt (+ (* 2 (+ x y)) x))
220.0ms	(cbrt (+ (* 2 (+ x y)) x))
293.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))
341.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

simplify87.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	368	888
1	939	838
2	3538	817
3	5001	801

prune259.0ms

Filtered

71 candidates to 60 candidates (84.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Merged error: 0b

Counts

77 → 7

regimes100.0ms

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	17	4
1	19	4
2	19	4

end0.0ms

sample593.0ms

Algorithm

intervals

Results

208.0ms	113×	body	320	valid
176.0ms	7363×	body	80	valid
20.0ms	192×	body	1280	valid
19.0ms	230×	body	640	valid
5.0ms	41×	body	2560	valid
3.0ms	70×	body	160	valid

Details

sample15.0ms

simplify308.0ms

prune5.0ms

localize10.0ms

rewrite30.0ms

series81.0ms

simplify34.0ms

prune94.0ms

localize12.0ms

rewrite15.0ms

series52.0ms

simplify75.0ms

prune64.0ms

localize17.0ms

rewrite35.0ms

series924.0ms

simplify46.0ms

prune289.0ms

localize16.0ms

rewrite34.0ms

series1.1s

simplify87.0ms

prune259.0ms

regimes100.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample593.0ms

Profiling