Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	294×	body	80	nan
9.0ms	279×	body	80	valid

simplify927.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

22.0ms	(+ (- 1.0 x) (* y (sqrt x)))
7.0ms	(* y (sqrt x))

series106.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (- 1.0 x) (* y (sqrt x)))
58.0ms	(* y (sqrt x))

simplify510.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	894
1	250
0	95

prune185.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
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-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

8.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
20.0ms	(* y (sqrt (sqrt x)))
52.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(sqrt (sqrt x))
256.0ms	(sqrt (sqrt x))
85.0ms	(* y (sqrt (sqrt x)))
46.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify873.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1698
1	354
0	132

prune409.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-prod-down` `pow-flip` `inv-pow`

Counts

4 → 117

Calls

4 calls:

8.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
10.0ms	(* y (sqrt (sqrt x)))
66.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series630.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(pow (/ 1 x) -1/4)
164.0ms	(sqrt (sqrt x))
129.0ms	(* y (sqrt (sqrt x)))
106.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify1.5s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	3136
1	714
0	243

prune528.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (cbrt (pow (sqrt (sqrt x)) 3)))
0.3b	(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (pow (/ 1 x) -1/4))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

60×	`sqrt-prod`
56×	`cbrt-prod`
52×	`add-sqr-sqrt`
44×	`associate-r`
43×	`unpow-prod-down`
37×	`add-exp-log`
35×	`*-un-lft-identity` `add-cube-cbrt`
30×	`cube-prod`
19×	`prod-exp`
10×	`add-cbrt-cube`
9×	`pow1` `times-frac` `pow-exp` `unswap-sqr`
5×	`pow-pow` `sqr-pow`
4×	`sqrt-pow1` `div-exp` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `pow-unpow` `unpow3`
2×	`rec-exp` `pow1/2` `1-exp` `*-commutative`
1×	`pow1/3` `pow-prod-down` `rem-cbrt-cube` `div-inv` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 163

Calls

4 calls:

24.0ms	(* y (cbrt (pow (sqrt (sqrt x)) 3)))
68.0ms	(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (pow (/ 1 x) -1/4))
7.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
8.0ms	(pow (sqrt (sqrt x)) 3)

series721.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* y (cbrt (pow (sqrt (sqrt x)) 3)))
126.0ms	(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (pow (/ 1 x) -1/4))
201.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
254.0ms	(pow (sqrt (sqrt x)) 3)

simplify2.6s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	4166
1	831
0	288

prune748.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes238.0ms

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	9
1	9
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

496.0ms	8523×	body	80	valid
407.0ms	8329×	body	80	nan
0.0ms	2×	body	1280	valid