Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	235×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	5×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify45.0ms

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	50	7
done	50	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

11.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify2.8s

Counts

15 → 15

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	262	151
3	1036	151
4	4733	151
done	5001	151

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite54.0ms

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:

33.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
378.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
390.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
337.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify6.7s

Counts

99 → 99

Iterations

Useful iterations: done (6.7s)

Iter	Nodes	Cost
0	119	1968
1	260	1825
2	891	1711
3	4665	1549
done	5000	1543

prune394.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.9b	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`flip3--` `flip--`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
13.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
10.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series1.4s

Counts

4 → 12

Calls

4 calls:

342.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
363.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
363.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
331.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify734.0ms

Counts

79 → 79

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	192	1660
1	438	1578
2	1339	1449
done	5000	1417

prune434.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 3.0 8.0) y))
0.2b	(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
4.7b	(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
27.5b	(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
42×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
5×	`associate-*l/` `difference-of-squares`
4×	`pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`flip3--` `flip3-+` `pow-plus` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `pow2` `frac-times` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `swap-sqr` `associate-r` `associate-l` `clear-num` `sum-log` `-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

12.0ms	(+ x (* (/ 3.0 8.0) y))
104.0ms	(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
19.0ms	(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
38.0ms	(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ x (* (/ 3.0 8.0) y))
51.0ms	(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
82.0ms	(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
107.0ms	(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

simplify2.2s

Counts

119 → 119

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	161	2515
1	500	2249
2	3076	1885
done	5000	1883

prune348.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample720.0ms

Algorithm

intervals

Results

316.0ms	7378×	body	80	valid
88.0ms	245×	body	1280	valid
20.0ms	141×	body	640	valid
15.0ms	79×	body	2560	valid
10.0ms	100×	body	320	valid
3.0ms	57×	body	160	valid