Details

sample32.0ms

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)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(sqrt (fabs (- x y)))

series19.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(sqrt (fabs (- x y)))

simplify2.1s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
8	1023
7	330
6	148
5	79
4	45
3	37
2	33
1	29
0	22

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)))))

rewrite48.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

2.0ms	(sqrt (fabs (- x y)))
4.0ms	(sqrt (sqrt (fabs (- x y))))
4.0ms	(sqrt (sqrt (fabs (- x y))))
35.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (fabs (- x y)))
55.0ms	(sqrt (sqrt (fabs (- x y))))
75.0ms	(sqrt (sqrt (fabs (- x y))))
11.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify2.2s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	765
1	165
0	87

prune541.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
22×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
15×	`associate-r`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 89

Calls

4 calls:

41.0ms	(* (* (sqrt (sqrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
21.0ms	(* (sqrt (sqrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
1.0ms	(cbrt (sqrt (fabs (- x y))))
1.0ms	(cbrt (sqrt (fabs (- x y))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* (sqrt (sqrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
72.0ms	(* (sqrt (sqrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
84.0ms	(cbrt (sqrt (fabs (- x y))))
57.0ms	(cbrt (sqrt (fabs (- x y))))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1103
1	224
0	106

prune587.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes215.0ms

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

sample456.0ms

Algorithm

intervals

Results

243.0ms

8000×

body

valid