Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.2b

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)

series113.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (* (* (- y x) 6.0) z))
28.0ms	(* (- y x) 6.0)
39.0ms	(* (* (- y x) 6.0) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

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

prune93.0ms

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)))
0.3b	(* (- 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))

series81.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (- y x) (* 6.0 z)))
39.0ms	(* (- y x) (* 6.0 z))

simplify102.0ms

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

prune59.0ms

Filtered

39 candidates to 24 candidates (61.5%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

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

series914.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (* (- y x) 6.0))
228.0ms	(cbrt (* (- y x) 6.0))
227.0ms	(cbrt (* (- y x) 6.0))
235.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	281	658
1	1000	607
2	5001	562

prune219.0ms

Filtered

84 candidates to 66 candidates (78.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 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))))
5.2b	(cbrt (* (- y x) (* 6.0 z)))
5.2b	(cbrt (* (- y x) (* 6.0 z)))
5.2b	(cbrt (* (- y x) (* 6.0 z)))

rewrite30.0ms

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 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)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
174.0ms	(cbrt (* (- y x) (* 6.0 z)))
174.0ms	(cbrt (* (- y x) (* 6.0 z)))
172.0ms	(cbrt (* (- y x) (* 6.0 z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	376	839
1	1303	774
2	5002	720

prune222.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

regimes95.0ms

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

sample493.0ms

Algorithm

intervals

Results

277.0ms

10127×

body

valid

Details

sample18.0ms

simplify146.0ms

prune2.0ms

localize6.0ms

rewrite18.0ms

series113.0ms

simplify37.0ms

prune93.0ms

localize6.0ms

rewrite11.0ms

series81.0ms

simplify102.0ms

prune59.0ms

localize14.0ms

rewrite23.0ms

series914.0ms

simplify41.0ms

prune219.0ms

localize10.0ms

rewrite30.0ms

series765.0ms

simplify44.0ms

prune222.0ms

regimes95.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample493.0ms

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