Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	358×	body	80	nan
6.0ms	273×	body	80	valid

simplify18.0ms

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))

rewrite49.0ms

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:

38.0ms	(+ (- 1.0 x) (* y (sqrt x)))
10.0ms	(* y (sqrt x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (- 1.0 x) (* y (sqrt x)))
53.0ms	(* y (sqrt x))

simplify139.0ms

Counts

43 → 43

Iterations

Useful iterations: 2 (29.0ms)

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

prune82.0ms

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))
0.2b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite56.0ms

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)))
36.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt x))
131.0ms	(sqrt (sqrt x))
78.0ms	(* y (sqrt (sqrt x)))
45.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify45.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	336	516
1	1481	454
2	5001	427
done	5001	427

prune209.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite15.0ms

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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series739.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
178.0ms	(cbrt x)
183.0ms	(cbrt x)

simplify88.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune318.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (sqrt (cbrt (sqrt x))))
0.4b	(* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))
0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
22×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-l`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 84

Calls

4 calls:

93.0ms	(* (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (sqrt (cbrt (sqrt x))))
16.0ms	(* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))
1.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))

series554.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (sqrt (cbrt (sqrt x))))
155.0ms	(* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))
151.0ms	(cbrt (sqrt x))
146.0ms	(cbrt (sqrt x))

simplify54.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	398	877
1	1811	785
2	5001	763
done	5001	763

prune269.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes102.0ms

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

sample722.0ms

Algorithm

intervals

Results

182.0ms	8536×	body	80	valid
166.0ms	8682×	body	80	nan
0.0ms	1×	body	1280	valid