Details

sample24.0ms

Algorithm

intervals

Results

5.0ms	275×	body	80	valid
5.0ms	260×	body	80	nan

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	23	4
2	40	4
3	59	4
4	74	4
5	103	4
6	120	4
7	145	4
8	226	4
9	257	4
10	257	4
done	257	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

31.0ms	(+ (- 1.0 x) (* y (sqrt x)))
10.0ms	(* y (sqrt x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (- 1.0 x) (* y (sqrt x)))
40.0ms	(* y (sqrt x))

simplify143.0ms

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	240	231
1	957	202
2	4716	192
3	5001	192
done	5001	192

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
13.0ms	(* y (sqrt (sqrt x)))
38.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(sqrt (sqrt x))
133.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
44.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify45.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	520
1	1481	454
2	5001	427
done	5001	427

prune193.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
48×	`cbrt-prod`
36×	`add-sqr-sqrt` `associate-r`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`unpow-prod-down` `cube-prod`
14×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
5×	`pow-pow`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `unswap-sqr` `sqr-pow`
2×	`pow1/2` `*-commutative`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 141

Calls

4 calls:

13.0ms	(* y (sqrt (sqrt x)))
47.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
5.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
5.0ms	(pow (sqrt (sqrt x)) 3)

series442.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* y (sqrt (sqrt x)))
45.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
141.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
183.0ms	(pow (sqrt (sqrt x)) 3)

simplify75.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	523	890
1	2497	743
2	5002	699
done	5002	699

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
0.6b	(cbrt (pow x 3/4))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`sqrt-prod`
19×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`cbrt-prod`
13×	`pow1`
11×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`unpow-prod-down`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `sqr-pow`
1×	`pow1/3`

Counts

4 → 85

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
15.0ms	(* y (sqrt (sqrt x)))
34.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
2.0ms	(cbrt (pow x 3/4))

series464.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
82.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
173.0ms	(cbrt (pow x 3/4))

simplify57.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	453	572
1	2058	524
2	5002	522
done	5002	522

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4
done	9	4

end0.0ms

sample685.0ms

Algorithm

intervals

Results

164.0ms	8437×	body	80	nan
163.0ms	8533×	body	80	valid
0.0ms	3×	body	1280	valid