Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	276×	body	80	valid
6.0ms	222×	body	80	nan

simplify7.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

28.0ms	(+ (- 1.0 x) (* y (sqrt x)))
18.0ms	(* y (sqrt x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (- 1.0 x) (* y (sqrt x)))
48.0ms	(* y (sqrt x))

simplify139.0ms

Counts: 43 → 43

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

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))
6.0ms	(sqrt (sqrt x))
13.0ms	(* y (sqrt (sqrt x)))
35.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(sqrt (sqrt x))
158.0ms	(sqrt (sqrt x))
88.0ms	(* y (sqrt (sqrt x)))
44.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify41.0ms

Counts: 100 → 100

prune221.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series889.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt x) (cbrt x))
223.0ms	(cbrt x)
209.0ms	(cbrt x)
214.0ms	(cbrt x)

simplify82.0ms

Counts: 85 → 85

prune351.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

178×	`sqrt-prod`
90×	`add-sqr-sqrt`
76×	`sqrt-pow1`
51×	`pow1`
26×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
24×	`swap-sqr`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`unswap-sqr`
16×	`associate-l` `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` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 172

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
13.0ms	(* y (sqrt (sqrt x)))
85.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
38.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series448.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(sqrt (sqrt x))
87.0ms	(* y (sqrt (sqrt x)))
49.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
158.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify81.0ms

Counts: 184 → 184

prune309.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

578.0ms	8562×	body	80	valid
307.0ms	8672×	body	80	nan
0.0ms	1×	body	640	valid