Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	230×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	6×	body	320	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ x (/ (- x y) 2.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune31.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.1b

Counts

17 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
12.1b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
28.4b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

19.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
8.0ms	(- x (/ (- x y) 2.0))
3.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
14.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
5.0ms	(- x (/ (- x y) 2.0))
8.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
16.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify112.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	767	1986
1	4021	1797
2	5002	1766

prune242.0ms

Filtered

123 candidates to 183 candidates (-48.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	177	6	183
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	178	9	187

Merged error: 0.0b

Counts

187 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
0.6b	(cbrt (- x (/ (- x y) 2.0)))
0.6b	(cbrt (- x (/ (- x y) 2.0)))
0.6b	(cbrt (- x (/ (- x y) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
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 → 107

Calls

4 calls:

23.0ms	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
8.0ms	(cbrt (- x (/ (- x y) 2.0)))
8.0ms	(cbrt (- x (/ (- x y) 2.0)))
8.0ms	(cbrt (- x (/ (- x y) 2.0)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
35.0ms	(cbrt (- x (/ (- x y) 2.0)))
32.0ms	(cbrt (- x (/ (- x y) 2.0)))
32.0ms	(cbrt (- x (/ (- x y) 2.0)))

simplify113.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	312	1322
1	929	1257
2	4183	1163
3	5002	1148

prune334.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	119	9	128

Merged error: 0.0b

Counts

128 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
12.1b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
28.4b	(* (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (/ 1 (- x (/ (- x y) 2.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
100×	`times-frac`
55×	`add-cube-cbrt`
43×	`associate-r`
25×	`add-exp-log` `swap-sqr`
23×	`associate-l`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`add-cbrt-cube`
13×	`pow1`
8×	`prod-exp` `add-log-exp`
7×	`unswap-sqr`
6×	`div-exp` `cbrt-unprod`
5×	`cbrt-undiv` `flip3--` `flip--` `div-inv`
3×	`frac-times` `associate-*l/`
2×	`sub-neg` `diff-log` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative`
1×	`pow2` `rec-exp` `pow-plus` `1-exp` `div-sub` `pow-sqr` `un-div-inv` `pow-prod-up` `associate--r-`

Counts

4 → 172

Calls

4 calls:

18.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
8.0ms	(- x (/ (- x y) 2.0))
3.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
18.0ms	(* (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (/ 1 (- x (/ (- x y) 2.0))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
5.0ms	(- x (/ (- x y) 2.0))
8.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
17.0ms	(* (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (/ 1 (- x (/ (- x y) 2.0))))

simplify246.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	803	1865
1	4983	1656
2	5001	1656

prune213.0ms

Filtered

118 candidates to 184 candidates (-55.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	184	9	193

Merged error: 0.0b

Counts

193 → 9

regimes177.0ms

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	7	3
1	7	3

end0.0ms

sample408.0ms

Algorithm

intervals

Results

168.0ms	7374×	body	80	valid
24.0ms	223×	body	1280	valid
13.0ms	163×	body	640	valid
9.0ms	83×	body	2560	valid
7.0ms	115×	body	320	valid
2.0ms	47×	body	160	valid

Details

sample17.0ms

simplify16.0ms

prune2.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify74.0ms

prune31.0ms

localize9.0ms

rewrite52.0ms

series35.0ms

simplify112.0ms

prune242.0ms

localize12.0ms

rewrite51.0ms

series172.0ms

simplify113.0ms

prune334.0ms

localize10.0ms

rewrite55.0ms

series35.0ms

simplify246.0ms

prune213.0ms

regimes177.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample408.0ms

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