Details

sample587.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 18.064476%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

7.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify156.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	65	4
3	128	4
4	174	4
5	189	4
6	206	4
7	255	4
8	350	4
9	625	4
10	1352	4
11	1831	4
12	2618	4
13	3748	4
14	5001	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) 6.0) z))
6.0ms	(* (- y x) 6.0)
7.0ms	(* (* (- y x) 6.0) z)

series22.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ x (* (* (- y x) 6.0) z))
4.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	246	290
1	1073	249
2	5001	249

prune82.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.3b	(* (- y x) (* 6.0 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* (- y x) (* 6.0 z)))
7.0ms	(* (- y x) (* 6.0 z))

series18.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ x (* (- y x) (* 6.0 z)))
8.0ms	(* (- y x) (* 6.0 z))

simplify107.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	210
1	717	179
2	3878	179
3	5003	179

prune52.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	39	7	46

Merged error: 0.0b

Counts

46 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
2.5b	(cbrt (* (* (- y x) 6.0) z))
2.5b	(cbrt (* (* (- y x) 6.0) z))
2.5b	(cbrt (* (* (- y x) 6.0) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
6.0ms	(cbrt (* (* (- y x) 6.0) z))
6.0ms	(cbrt (* (* (- y x) 6.0) z))
6.0ms	(cbrt (* (* (- y x) 6.0) z))

series186.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
41.0ms	(cbrt (* (* (- y x) 6.0) z))
39.0ms	(cbrt (* (* (- y x) 6.0) z))
42.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	383	855
1	1327	790
2	5001	750

prune200.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	9	91

Merged error: 0b

Counts

91 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (* (- y x) 6.0))
2.5b	(cbrt (* (* (- y x) 6.0) z))
2.5b	(cbrt (* (* (- y x) 6.0) z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`cbrt-prod` `cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt z)
5.0ms	(cbrt (* (- y x) 6.0))
6.0ms	(cbrt (* (* (- y x) 6.0) z))
6.0ms	(cbrt (* (* (- y x) 6.0) z))

series142.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
38.0ms	(cbrt (* (- y x) 6.0))
39.0ms	(cbrt (* (* (- y x) 6.0) z))
42.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	316	430
1	786	401
2	2642	373
3	5002	372

prune124.0ms

Filtered

49 candidates to 56 candidates (-14.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	56	9	65

Merged error: 0b

Counts

65 → 9

regimes274.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample966.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 18.064476%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

221.0ms	8000×	body	80	valid
8.0ms	306×	body	80	invalid

Details

sample587.0ms

simplify156.0ms

prune6.0ms

localize6.0ms

rewrite18.0ms

series22.0ms

simplify37.0ms

prune82.0ms

localize6.0ms

rewrite11.0ms

series18.0ms

simplify107.0ms

prune52.0ms

localize10.0ms

rewrite29.0ms

series186.0ms

simplify45.0ms

prune200.0ms

localize14.0ms

rewrite20.0ms

series142.0ms

simplify66.0ms

prune124.0ms

regimes274.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample966.0ms

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