Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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:

1.0ms

(sqrt (fabs (- x y)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(sqrt (fabs (- x y)))

simplify2.3s

Counts

18 → 18

Iterations

Useful iterations: 2 (7.0ms)

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	133	108
8	342	108
9	1260	108
done	5001	108

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (fabs (- x y))))
0.4b	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b	(cbrt (fabs (- x y)))
0.5b	(cbrt (fabs (- x y)))

rewrite10.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

Calls

4 calls:

1.0ms	(sqrt (cbrt (fabs (- x y))))
6.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs (- x y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (cbrt (fabs (- x y))))
51.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
45.0ms	(cbrt (fabs (- x y)))
40.0ms	(cbrt (fabs (- x y)))

simplify2.3s

Counts

86 → 86

Iterations

Useful iterations: 3 (160.0ms)

Iter	Nodes	Cost
0	74	990
1	120	924
2	304	844
3	771	838
4	2545	838
done	5001	838

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

120×	`cbrt-prod`
65×	`add-sqr-sqrt`
60×	`sqrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
14×	`swap-sqr`
12×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
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 → 131

Calls

4 calls:

14.0ms	(* (cbrt (sqrt (cbrt (fabs (- x y))))) (cbrt (sqrt (cbrt (fabs (- x y))))))
1.0ms	(cbrt (sqrt (cbrt (fabs (- x y)))))
1.0ms	(cbrt (sqrt (cbrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (cbrt (fabs (- x y)))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (sqrt (cbrt (fabs (- x y))))) (cbrt (sqrt (cbrt (fabs (- x y))))))
39.0ms	(cbrt (sqrt (cbrt (fabs (- x y)))))
44.0ms	(cbrt (sqrt (cbrt (fabs (- x y)))))
40.0ms	(cbrt (sqrt (cbrt (fabs (- x y)))))

simplify1.4s

Counts

143 → 143

Iterations

Useful iterations: 4 (441.0ms)

Iter	Nodes	Cost
0	92	2482
1	132	2293
2	288	2193
3	721	2040
4	1508	1921
done	5001	1921

prune349.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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

sample253.0ms

Algorithm

intervals

Results

130.0ms

8000×

body

valid