Details

sample26.0ms

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)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

3.0ms

(sqrt (fabs (- x y)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(sqrt (fabs (- x y)))

simplify2.4s

Counts

18 → 18

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	22	127
1	29	111
2	33	108
3	37	108
4	43	108
5	53	108
6	74	108
7	139	108
8	431	108
9	1844	108
done	5000	108

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

2.0ms	(cbrt (sqrt (fabs (- x y))))
3.0ms	(cbrt (sqrt (fabs (- x y))))
3.0ms	(cbrt (sqrt (fabs (- x y))))
35.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (sqrt (fabs (- x y))))
82.0ms	(cbrt (sqrt (fabs (- x y))))
53.0ms	(cbrt (sqrt (fabs (- x y))))
50.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))

simplify2.2s

Counts

118 → 118

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	69	1676
1	107	1522
2	247	1436
3	494	1317
4	1155	1225
done	5000	1195

prune358.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.5b	(pow (sqrt (fabs (- x y))) 3)
18.7b	(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt` `sqrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `pow-pow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 78

Calls

3 calls:

1.0ms	(sqrt (fabs (- x y)))
5.0ms	(pow (sqrt (fabs (- x y))) 3)
7.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

series84.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(sqrt (fabs (- x y)))
45.0ms	(pow (sqrt (fabs (- x y))) 3)
12.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify3.8s

Counts

87 → 87

Iterations

Useful iterations: 3 (962.0ms)

Iter	Nodes	Cost
0	75	990
1	142	665
2	362	659
3	2660	647
done	5001	647

prune141.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

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

sample657.0ms

Algorithm

intervals

Results

264.0ms

8000×

body

valid