Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	267×	body	80	valid
5.0ms	248×	body	80	nan

simplify167.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	38	8
4	55	8
5	76	8
6	96	8
7	113	8
8	132	8
9	162	8
10	177	8
done	177	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* y (sqrt x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* y (sqrt x))

simplify2.2s

Counts

25 → 25

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	63	210
1	151	189
2	592	173
3	2920	165
done	5001	162

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
7.0ms	(* y (sqrt (sqrt x)))
16.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (sqrt x))
134.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify557.0ms

Counts

100 → 100

Iterations

Useful iterations: done (555.0ms)

Iter	Nodes	Cost
0	132	915
1	345	728
2	1343	650
done	5001	647

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

61×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 103

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
9.0ms	(* y (sqrt (sqrt (sqrt x))))
90.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
24.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (sqrt x))
90.0ms	(* y (sqrt (sqrt (sqrt x))))
42.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
83.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify1.2s

Counts

115 → 115

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	180	1535
1	481	1097
2	2140	855
done	5001	852

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

31×	`sqrt-prod`
24×	`add-sqr-sqrt`
21×	`associate-r`
20×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l` `add-log-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 85

Calls

4 calls:

42.0ms	(* (* y (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))) (sqrt (sqrt x)))
8.0ms	(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt (sqrt x))

series583.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* y (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))) (sqrt (sqrt x)))
170.0ms	(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
155.0ms	(cbrt (sqrt x))
153.0ms	(cbrt (sqrt x))

simplify650.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	156	1327
1	386	1209
2	1542	1044
done	5000	1044

prune286.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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	7	8
1	9	8
done	9	8

end0.0ms

sample604.0ms

Algorithm

intervals

Results

176.0ms	8505×	body	80	valid
170.0ms	8496×	body	80	nan