Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	239×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	25	7
3	34	7
4	41	7
5	47	7
6	49	7
done	49	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

5.0ms

(- x (* (/ 3.0 8.0) y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- x (* (/ 3.0 8.0) y))

simplify1.9s

Counts

15 → 15

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	256	151
3	907	151
4	2826	151
done	5002	151

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

7.0ms	(- x (* (/ 3.0 8.0) y))
5.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
29.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- x (* (/ 3.0 8.0) y))
75.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
75.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
30.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	112	2076
1	219	1469
2	633	1365
3	2002	1306
done	5001	1278

prune185.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.2b	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))
0.3b	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
97×	`sqrt-pow1`
91×	`sqrt-prod`
75×	`pow1`
60×	`add-sqr-sqrt`
53×	`pow1/2`
43×	`pow-prod-up`
35×	`flip3--` `flip--`
32×	`frac-times`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
16×	`associate-*l/`
15×	`associate-r`
13×	`pow-sqr`
12×	`pow-prod-down`
11×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r/` `associate-l*`
7×	`pow-plus`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt`

Counts

4 → 203

Calls

4 calls:

6.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
7.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
38.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))
93.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))

series640.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
265.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
82.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))
31.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify2.1s

Counts

215 → 215

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	235	5899
1	485	3692
2	1304	3306
3	3851	3173
done	5000	3125

prune347.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (sqrt (cbrt (- x (* (/ 3.0 8.0) y))))))
0.3b	(* (* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-div`
40×	`associate-*l/`
35×	`flip3--` `flip--`
32×	`frac-times`
28×	`cbrt-div`
25×	`pow1`
19×	`pow-prod-down`
18×	`add-exp-log` `associate-r` `sqrt-prod` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`associate-*r/`
9×	`cbrt-prod` `prod-exp` `cbrt-unprod`
7×	`sqrt-pow1` `pow1/2`
5×	`sqrt-unprod`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 117

Calls

4 calls:

65.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (sqrt (cbrt (- x (* (/ 3.0 8.0) y))))))
209.0ms	(* (* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series997.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (sqrt (cbrt (- x (* (/ 3.0 8.0) y))))))
254.0ms	(* (* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (- x (* (/ 3.0 8.0) y))))
264.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
261.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.1s

Counts

129 → 129

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	297	5819
1	726	5305
2	2462	4835
done	5000	4788

prune594.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	8	7
done	8	7

end0.0ms

sample344.0ms

Algorithm

intervals

Results

137.0ms	7387×	body	80	valid
16.0ms	213×	body	1280	valid
10.0ms	172×	body	640	valid
8.0ms	93×	body	2560	valid
4.0ms	86×	body	320	valid
2.0ms	49×	body	160	valid