Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	8	5
done	8	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (fabs (- x y)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

2.0ms

(sqrt (fabs (- x y)))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(sqrt (fabs (- x y)))

simplify1.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	20	115
1	27	99
2	31	96
3	35	96
4	43	96
5	77	96
6	147	96
7	334	96
8	1026	96
done	5000	96

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (fabs (- x y))))
0.3b	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 66

Calls

4 calls:

2.0ms	(sqrt (cbrt (fabs (- x y))))
17.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
2.0ms	(cbrt (fabs (- x y)))
2.0ms	(cbrt (fabs (- x y)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (cbrt (fabs (- x y))))
96.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
69.0ms	(cbrt (fabs (- x y)))
51.0ms	(cbrt (fabs (- x y)))

simplify4.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (902.0ms)

Iter	Nodes	Cost
0	68	924
1	122	858
2	560	778
3	4165	772
done	5000	772

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt (fabs (- x y))))
0.5b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

94×	`sqrt-prod`
65×	`add-sqr-sqrt`
59×	`cbrt-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
16×	`swap-sqr` `unswap-sqr`
14×	`sqrt-pow1`
12×	`associate-r` `associate-l`
9×	`pow1/3`
8×	`pow1/2`
6×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`pow-prod-down` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 123

Calls

4 calls:

3.0ms	(cbrt (sqrt (fabs (- x y))))
3.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (fabs (- x y)))
58.0ms	(* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (sqrt (fabs (- x y))))
55.0ms	(cbrt (sqrt (fabs (- x y))))
47.0ms	(cbrt (fabs (- x y)))
71.0ms	(* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))

simplify1.4s

Counts

135 → 135

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	103	2303
1	187	1582
2	798	1470
done	5001	1426

prune366.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
done	5	5

end0.0ms

sample537.0ms

Algorithm

intervals

Results

237.0ms

8000×

body

valid