Details

sample994.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 31.347656%

Guaranteed chance to sample good point: 77.062589%

Results

8.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify276.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

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))

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* 3 (* z z)) (* x y))
3.0ms	(* 3 (* z z))

simplify76.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

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

prune60.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Merged error: 0b

Counts

37 → 7

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-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:

4.0ms	(+ (* (* 3 z) z) (* x y))
6.0ms	(* (* 3 z) z)

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* (* 3 z) z) (* x y))
3.0ms	(* (* 3 z) z)

simplify126.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (123.0ms)

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

prune50.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	35	7	42

Merged error: 0b

Counts

42 → 7

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))))
17.6b	(sqrt (* 3 (* z z)))
17.6b	(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:

6.0ms	(* 3 (* z z))
12.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
4.0ms	(sqrt (* 3 (* z z)))
4.0ms	(sqrt (* 3 (* z z)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3 (* z z))
7.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
3.0ms	(sqrt (* 3 (* z z)))
4.0ms	(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

prune107.0ms

Filtered

54 candidates to 121 candidates (-124.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 (* z z)) (* x y))) (cbrt (+ (* 3 (* z z)) (* x y))))
3.1b	(cbrt (+ (* 3 (* z z)) (* x y)))
3.1b	(cbrt (+ (* 3 (* z z)) (* x y)))
3.1b	(cbrt (+ (* 3 (* z z)) (* x y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (* 3 (* z z)) (* x y))) (cbrt (+ (* 3 (* z z)) (* x y))))
7.0ms	(cbrt (+ (* 3 (* z z)) (* x y)))
5.0ms	(cbrt (+ (* 3 (* z z)) (* x y)))
5.0ms	(cbrt (+ (* 3 (* z z)) (* x y)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (+ (* 3 (* z z)) (* x y))) (cbrt (+ (* 3 (* z z)) (* x y))))
22.0ms	(cbrt (+ (* 3 (* z z)) (* x y)))
22.0ms	(cbrt (+ (* 3 (* z z)) (* x y)))
21.0ms	(cbrt (+ (* 3 (* z z)) (* x y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	284	1255
1	1037	1176
2	5001	1105

prune188.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	99	6	105

Merged error: 0b

Counts

105 → 6

regimes284.0ms

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	11	4
1	11	4

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 31.347656%

Guaranteed chance to sample good point: 77.062589%

Results

273.0ms	8000×	body	80	valid
13.0ms	398×	body	80	invalid

Details

sample994.0ms

simplify276.0ms

prune7.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify76.0ms

prune60.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify126.0ms

prune50.0ms

localize9.0ms

rewrite32.0ms

series17.0ms

simplify36.0ms

prune107.0ms

localize10.0ms

rewrite32.0ms

series94.0ms

simplify46.0ms

prune188.0ms

regimes284.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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