Details

analyze285.0ms

Algorithm: search

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify152.0ms

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

prune3.0ms

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: 0.1b

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)

rewrite17.0ms

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:

10.0ms	(+ 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

prune88.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	10	63

Merged error: 0.0b

Counts

63 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.2b	(* (- 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))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

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

prune57.0ms

Filtered

24 candidates to 39 candidates (-62.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	39	10	49

Merged error: 0.0b

Counts

49 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
5.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))

series105.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
27.0ms	(cbrt (- y x))
25.0ms	(cbrt (- y x))
25.0ms	(cbrt (- y x))

simplify120.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	287	793
1	868	756
2	3986	674
3	5001	652

prune125.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	113	10	123

Merged error: 0.0b

Counts

123 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`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:

7.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
5.0ms	(cbrt (* (- y x) 6.0))
5.0ms	(cbrt (* (- y x) 6.0))
7.0ms	(cbrt (* (- y x) 6.0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
38.0ms	(cbrt (* (- y x) 6.0))
34.0ms	(cbrt (* (- y x) 6.0))
36.0ms	(cbrt (* (- y x) 6.0))

simplify157.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	313	699
1	1018	648
2	4913	582
3	5001	582

prune149.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	83	11	94

Merged error: 0b

Counts

94 → 11

regimes294.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

analyze284.0ms

Algorithm: search

sample380.0ms

Algorithm

intervals

Results

208.0ms	8000×	body	80	valid
18.0ms	602×	body	80	invalid

Details

analyze285.0ms

sample17.0ms

simplify152.0ms

prune3.0ms

localize6.0ms

rewrite17.0ms

series22.0ms

simplify37.0ms

prune88.0ms

localize6.0ms

rewrite11.0ms

series17.0ms

simplify100.0ms

prune57.0ms

localize10.0ms

rewrite24.0ms

series105.0ms

simplify120.0ms

prune125.0ms

localize11.0ms

rewrite26.0ms

series154.0ms

simplify157.0ms

prune149.0ms

regimes294.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze284.0ms

sample380.0ms

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