Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	304×	body	80	nan
8.0ms	277×	body	80	valid

simplify989.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1334
6	407
5	134
4	62
3	40
2	23
1	13
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(- x (* (sqrt x) y))
9.0ms	(* (sqrt x) y)

series132.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(- x (* (sqrt x) y))
62.0ms	(* (sqrt x) y)

simplify529.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	824
1	210
0	83

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* (sqrt (sqrt x)) y)
0.3b	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
22.0ms	(* (sqrt (sqrt x)) y)
47.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y))

series687.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(sqrt (sqrt x))
238.0ms	(sqrt (sqrt x))
162.0ms	(* (sqrt (sqrt x)) y)
96.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y))

simplify904.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1419
1	326
0	128

prune417.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* (sqrt (sqrt x)) y)
0.3b	(* (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (sqrt (sqrt x)) y))
0.5b	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

178×	`sqrt-prod`
90×	`add-sqr-sqrt`
76×	`sqrt-pow1`
51×	`pow1`
26×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
24×	`swap-sqr`
22×	`associate-l`
20×	`add-cbrt-cube` `add-exp-log`
19×	`unswap-sqr`
16×	`associate-r` `pow-prod-down`
13×	`pow-prod-up`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 172

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
22.0ms	(* (sqrt (sqrt x)) y)
163.0ms	(* (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (sqrt (sqrt x)) y))
53.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(sqrt (sqrt x))
208.0ms	(* (sqrt (sqrt x)) y)
79.0ms	(* (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (sqrt (sqrt x)) y))
180.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify2.5s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	2858
1	492
0	202

prune506.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt x)) y)
0.3b	(* (cbrt (pow (sqrt (sqrt x)) 3)) (* (sqrt (sqrt x)) y))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
48×	`cbrt-prod`
36×	`add-sqr-sqrt` `associate-l`
30×	`*-un-lft-identity` `add-cube-cbrt`
27×	`unpow-prod-down` `cube-prod`
14×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
5×	`pow-pow`
4×	`sqrt-pow1` `associate-r` `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` `rem-cbrt-cube` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 141

Calls

4 calls:

21.0ms	(* (sqrt (sqrt x)) y)
54.0ms	(* (cbrt (pow (sqrt (sqrt x)) 3)) (* (sqrt (sqrt x)) y))
4.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
5.0ms	(pow (sqrt (sqrt x)) 3)

series757.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (sqrt (sqrt x)) y)
81.0ms	(* (cbrt (pow (sqrt (sqrt x)) 3)) (* (sqrt (sqrt x)) y))
203.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
306.0ms	(pow (sqrt (sqrt x)) 3)

simplify3.4s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	3183
1	571
0	197

prune619.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

455.0ms	8517×	body	80	valid
428.0ms	8845×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid