Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

405×

body

valid

simplify272.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3185	4
12	5003	4

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* z z)) (* x y))
5.0ms	(* 3 (* z z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3 (* z z)) (* x y))
26.0ms	(* 3 (* z z))

simplify78.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	166	163
1	617	147
2	2424	143
3	5003	143

prune116.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.1b	(* (* 3 z) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+ (* (* 3 z) z) (* x y))
5.0ms	(* (* 3 z) z)

series56.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify135.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	175	161
1	815	145
2	4087	142
3	5001	141

prune91.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* z z))
0.3b	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
20.2b	(sqrt (* 3 (* z z)))
20.2b	(sqrt (* 3 (* z z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

5.0ms	(* 3 (* z z))
13.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
4.0ms	(sqrt (* 3 (* z z)))
4.0ms	(sqrt (* 3 (* z z)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 3 (* z z))
70.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
34.0ms	(sqrt (* 3 (* z z)))
38.0ms	(sqrt (* 3 (* z z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	169	344
1	783	285
2	5001	269

prune263.0ms

Filtered

121 candidates to 54 candidates (44.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

20.2b	(sqrt (* 3 (* z z)))
20.9b	(cbrt (* 3 (* z z)))
20.9b	(cbrt (* 3 (* z z)))
20.9b	(cbrt (* 3 (* z z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `sqrt-pow1` `pow1/3` `pow-prod-down`
1×	`pow1/2` `sqrt-prod`

Counts

4 → 39

Calls

4 calls:

4.0ms	(sqrt (* 3 (* z z)))
4.0ms	(cbrt (* 3 (* z z)))
4.0ms	(cbrt (* 3 (* z z)))
5.0ms	(cbrt (* 3 (* z z)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (* 3 (* z z)))
227.0ms	(cbrt (* 3 (* z z)))
214.0ms	(cbrt (* 3 (* z z)))
220.0ms	(cbrt (* 3 (* z z)))

simplify105.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	55	209
1	108	186
2	263	180
3	663	180
4	2506	180
5	5001	180

prune181.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

regimes340.0ms

Accuracy

0% (0.1b 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	12	4
1	12	4

end0.0ms

sample731.0ms

Algorithm

intervals

Results

332.0ms

12143×

body

valid

Details

sample29.0ms

simplify272.0ms

prune10.0ms

localize6.0ms

rewrite11.0ms

series59.0ms

simplify78.0ms

prune116.0ms

localize6.0ms

rewrite10.0ms

series56.0ms

simplify135.0ms

prune91.0ms

localize9.0ms

rewrite32.0ms

series166.0ms

simplify36.0ms

prune263.0ms

localize16.0ms

rewrite19.0ms

series693.0ms

simplify105.0ms

prune181.0ms

regimes340.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample731.0ms

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