Details

sample30.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

2.0ms

(sqrt (fabs (- x y)))

series20.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(sqrt (fabs (- x y)))

simplify1.5s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
8	1024
7	334
6	147
5	77
4	43
3	35
2	31
1	27
0	20

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.1b	(sqrt (sqrt (fabs (- x y))))
0.1b	(sqrt (sqrt (fabs (- x y))))
0.6b	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

89×	`sqrt-prod`
56×	`add-sqr-sqrt`
41×	`sqrt-pow1`
32×	`pow1`
21×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

2.0ms	(sqrt (fabs (- x y)))
3.0ms	(sqrt (sqrt (fabs (- x y))))
3.0ms	(sqrt (sqrt (fabs (- x y))))
34.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series151.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (fabs (- x y)))
59.0ms	(sqrt (sqrt (fabs (- x y))))
60.0ms	(sqrt (sqrt (fabs (- x y))))
20.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify1.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	882
1	159
0	81

prune397.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
0.4b	(* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

60.0ms	(* (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
21.0ms	(* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
3.0ms	(cbrt (sqrt (fabs (- x y))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
81.0ms	(* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))
52.0ms	(cbrt (sqrt (fabs (- x y))))
69.0ms	(cbrt (sqrt (fabs (- x y))))

simplify976.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1091
1	228
0	104

prune485.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample638.0ms

Algorithm

intervals

Results

326.0ms

8000×

body

valid