Details

sample35.0ms

Algorithm

intervals

Results

20.0ms	248×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

12.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify2.5s

Counts

16 → 16

Iterations

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

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite88.0ms

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))
11.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (/ (fabs (- y x)) 2.0))
58.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
30.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.3s

Counts

122 → 122

Iterations

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

prune516.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.2b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

116×	`sqrt-div`
62×	`sqrt-prod`
54×	`sqrt-pow1`
49×	`pow1`
38×	`add-sqr-sqrt`
35×	`flip3-+` `flip-+`
32×	`frac-times` `pow-prod-up`
30×	`pow1/2`
26×	`*-un-lft-identity`
20×	`associate-r`
16×	`associate-*l/` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `associate-*r/`
8×	`associate-l`
6×	`pow3` `unswap-sqr`
5×	`distribute-lft-out`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-unprod`
2×	`pow-plus` `*-commutative`

Counts

4 → 171

Calls

4 calls:

8.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
105.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
68.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
64.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
31.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
85.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify2.1s

Counts

183 → 183

Iterations

Iter	Nodes
done	5007
2	1703
1	666
0	260

prune925.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
0.5b	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
112×	`sqrt-prod`
91×	`sqrt-pow1`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
42×	`*-un-lft-identity`
39×	`pow-prod-up`
35×	`flip3-+` `flip-+`
32×	`frac-times`
22×	`add-cube-cbrt`
20×	`swap-sqr`
17×	`associate-l`
16×	`associate-*r/`
12×	`pow-prod-down`
11×	`add-cbrt-cube` `associate-r` `add-exp-log` `pow-sqr` `unswap-sqr`
10×	`associate-*l/`
9×	`distribute-lft-out`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus`

Counts

4 → 209

Calls

4 calls:

17.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
123.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
50.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
30.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
51.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify2.9s

Counts

221 → 221

Iterations

Iter	Nodes
done	5012
3	4667
2	1779
1	716
0	274

prune923.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes233.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample845.0ms

Algorithm

intervals

Results

559.0ms	7713×	body	80	valid
37.0ms	110×	body	1280	valid
20.0ms	80×	body	640	valid
16.0ms	42×	body	2560	valid
8.0ms	40×	body	320	valid
2.0ms	16×	body	160	valid