Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	245×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ x (/ (fabs (- y x)) 2.0))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify2.6s

Counts

16 → 16

Iterations

Iter	Nodes
done	5021
5	3047
4	1224
3	495
2	216
1	85
0	32

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

58.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
4.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
4.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
90.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
83.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
3	2590
2	1000
1	394
0	162

prune654.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
4.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
83.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
78.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
85.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	1717
2	583
1	211
0	88

prune605.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

12.0ms	(+ x (/ (fabs (- y x)) 2.0))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
76.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (/ (fabs (- y x)) 2.0))
61.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
62.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
34.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
3	2411
2	809
1	304
0	132

prune482.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample547.0ms

Algorithm

intervals

Results

328.0ms	7676×	body	80	valid
48.0ms	120×	body	1280	valid
13.0ms	88×	body	640	valid
10.0ms	43×	body	2560	valid
4.0ms	41×	body	320	valid
2.0ms	33×	body	160	valid