Details

sample28.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

1.0ms

(sqrt (fabs (- x y)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(sqrt (fabs (- x y)))

simplify3.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
9	1289
8	394
7	170
6	99
5	65
4	46
3	38
2	34
1	30
0	23

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (fabs (- x y))))
0.3b	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `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 → 78

Calls

4 calls:

2.0ms	(sqrt (cbrt (fabs (- x y))))
22.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs (- x y)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (cbrt (fabs (- x y))))
87.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
78.0ms	(cbrt (fabs (- x y)))
48.0ms	(cbrt (fabs (- x y)))

simplify2.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
4	1633
3	604
2	308
1	131
0	76

prune437.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

94×	`sqrt-prod`
65×	`add-sqr-sqrt`
59×	`cbrt-prod`
25×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1`
16×	`swap-sqr` `unswap-sqr`
14×	`sqrt-pow1`
12×	`associate-r` `associate-l`
9×	`pow1/3`
8×	`pow1/2`
6×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 135

Calls

4 calls:

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

series252.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))
58.0ms	(cbrt (sqrt (fabs (- x y))))
53.0ms	(cbrt (sqrt (fabs (- x y))))
75.0ms	(cbrt (fabs (- x y)))

simplify2.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
4	1847
3	695
2	323
1	191
0	112

prune591.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

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

sample590.0ms

Algorithm

intervals

Results

411.0ms

8000×

body

valid