Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(sqrt (fabs (- x y)))

simplify1.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (23.0ms)

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

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.5b	(pow (sqrt (fabs (- x y))) 3)
19.3b	(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite12.0ms

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×	`pow-unpow` `pow-pow` `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 → 72

Calls

3 calls:

1.0ms	(sqrt (fabs (- x y)))
4.0ms	(pow (sqrt (fabs (- x y))) 3)
4.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

series61.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt (fabs (- x y)))
32.0ms	(pow (sqrt (fabs (- x y))) 3)
18.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify1.9s

Counts

81 → 81

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	69	944
1	186	691
2	1020	619
done	5002	619

prune194.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (sqrt (fabs (- x y))) 3/2)
0.5b	(* (cbrt (pow (sqrt (fabs (- x y))) 3/2)) (cbrt (pow (sqrt (fabs (- x y))) 3/2)))
0.5b	(cbrt (pow (sqrt (fabs (- x y))) 3/2))
0.5b	(cbrt (pow (sqrt (fabs (- x y))) 3/2))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

104×	`cbrt-prod`
73×	`add-sqr-sqrt`
66×	`unpow-prod-down`
33×	`sqrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
25×	`unswap-sqr`
17×	`sqr-pow`
15×	`swap-sqr`
13×	`pow1` `associate-r` `associate-l`
8×	`pow1/3`
7×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow-pow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `sqrt-pow1` `pow-plus` `pow1/2` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 143

Calls

4 calls:

6.0ms	(pow (sqrt (fabs (- x y))) 3/2)
63.0ms	(* (cbrt (pow (sqrt (fabs (- x y))) 3/2)) (cbrt (pow (sqrt (fabs (- x y))) 3/2)))
5.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3/2))
5.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3/2))

series244.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow (sqrt (fabs (- x y))) 3/2)
17.0ms	(* (cbrt (pow (sqrt (fabs (- x y))) 3/2)) (cbrt (pow (sqrt (fabs (- x y))) 3/2)))
69.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3/2))
79.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3/2))

simplify1.1s

Counts

155 → 155

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	121	3161
1	254	2877
2	1043	2773
done	5000	2656

prune380.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes111.0ms

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

sample560.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid