Details

sample22.0ms

Algorithm

intervals

Results

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

simplify124.0ms

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	70	8
6	79	8
7	96	8
8	115	8
9	122	8
10	126	8
11	130	8
done	130	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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* y (sqrt x))

simplify2.6s

Counts

25 → 25

Iterations

Useful iterations: 4 (763.0ms)

Iter	Nodes	Cost
0	63	210
1	149	187
2	364	173
3	1094	165
4	3166	160
done	5001	160

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite29.0ms

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)))
18.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt x))
132.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
45.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.8s

Counts

100 → 100

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	132	915
1	340	716
2	1028	650
3	3316	634
done	5000	631

prune185.0ms

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))))

rewrite127.0ms

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))))
89.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
24.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt x))
92.0ms	(* y (sqrt (sqrt (sqrt x))))
54.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
78.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify987.0ms

Counts

115 → 115

Iterations

Useful iterations: done (984.0ms)

Iter	Nodes	Cost
0	180	1535
1	472	1073
2	1560	855
done	5000	833

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite58.0ms

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:

46.0ms	(* (* 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))

series577.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* y (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))) (sqrt (sqrt x)))
175.0ms	(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
147.0ms	(cbrt (sqrt x))
152.0ms	(cbrt (sqrt x))

simplify500.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	156	1327
1	381	1193
2	1381	1044
done	5000	1044

prune275.0ms

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

sample625.0ms

Algorithm

intervals

Results

184.0ms	8505×	body	80	valid
174.0ms	8496×	body	80	nan