Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

324×

body

valid

simplify149.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.4b

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)
0.5b	(* (* (- 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)

series110.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (* (* (- y x) 6.0) z))
31.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

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

prune99.0ms

Filtered

62 candidates to 40 candidates (64.5%)

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)))
0.5b	(* (- 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))

series84.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (- y x) (* 6.0 z)))
42.0ms	(* (- y x) (* 6.0 z))

simplify103.0ms

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

prune74.0ms

Filtered

39 candidates to 24 candidates (61.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	5	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	(* (* (- y x) 6.0) z)
2.8b	(cbrt (* (* (- y x) 6.0) z))
2.8b	(cbrt (* (* (- y x) 6.0) z))
2.8b	(cbrt (* (* (- y x) 6.0) z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

7.0ms	(* (* (- y x) 6.0) z)
6.0ms	(cbrt (* (* (- y x) 6.0) z))
9.0ms	(cbrt (* (* (- y x) 6.0) z))
6.0ms	(cbrt (* (* (- y x) 6.0) z))

series596.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (- y x) 6.0) z)
178.0ms	(cbrt (* (* (- y x) 6.0) z))
180.0ms	(cbrt (* (* (- y x) 6.0) z))
201.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	298	497
1	1037	447
2	5001	435

prune186.0ms

Filtered

65 candidates to 53 candidates (81.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.8b	(cbrt (* (- y x) 6.0))
2.8b	(cbrt (* (* (- y x) 6.0) z))
2.8b	(cbrt (* (* (- y x) 6.0) z))

rewrite19.0ms

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))

series752.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt z)
219.0ms	(cbrt (* (- y x) 6.0))
173.0ms	(cbrt (* (* (- y x) 6.0) z))
176.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify74.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	303	401
1	763	373
2	2812	348
3	5001	347

prune188.0ms

Filtered

56 candidates to 49 candidates (87.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	55	9	64

Merged error: 0b

Counts

64 → 9

regimes133.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample484.0ms

Algorithm

intervals

Results

284.0ms

10166×

body

valid

Details

sample18.0ms

simplify149.0ms

prune2.0ms

localize6.0ms

rewrite17.0ms

series110.0ms

simplify36.0ms

prune99.0ms

localize6.0ms

rewrite11.0ms

series84.0ms

simplify103.0ms

prune74.0ms

localize10.0ms

rewrite31.0ms

series596.0ms

simplify37.0ms

prune186.0ms

localize14.0ms

rewrite19.0ms

series752.0ms

simplify74.0ms

prune188.0ms

regimes133.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample484.0ms

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