Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

2.0ms

(sqrt (fabs (- x y)))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(sqrt (fabs (- x y)))

simplify3.0s

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

prune104.0ms

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

rewrite43.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 138

Calls

4 calls:

3.0ms	(sqrt (fabs (- x y)))
8.0ms	(sqrt (sqrt (fabs (- x y))))
4.0ms	(sqrt (sqrt (fabs (- x y))))
25.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (fabs (- x y)))
55.0ms	(sqrt (sqrt (fabs (- x y))))
76.0ms	(sqrt (sqrt (fabs (- x y))))
18.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify3.0s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
4	1087
3	498
2	261
1	158
0	90

prune414.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow1` `associate-r`
12×	`associate-l`
10×	`cbrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `pow1/3` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`sqrt-unprod`

Counts

4 → 91

Calls

4 calls:

15.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
25.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
1.0ms	(cbrt (fabs (- x y)))
2.0ms	(cbrt (fabs (- x y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
82.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
75.0ms	(cbrt (fabs (- x y)))
69.0ms	(cbrt (fabs (- x y)))

simplify3.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
4	2321
3	1008
2	464
1	201
0	105

prune595.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes165.0ms

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

sample519.0ms

Algorithm

intervals

Results

361.0ms

8000×

body

valid