Details

sample43.0ms

Algorithm

intervals

Results

25.0ms	248×	body	80	valid
2.0ms	3×	body	1280	valid
1.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

19.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify2.9s

Counts

16 → 16

Iterations

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

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))))

rewrite152.0ms

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:

14.0ms	(+ x (/ (fabs (- y x)) 2.0))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
101.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ x (/ (fabs (- y x)) 2.0))
98.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
90.0ms	(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

prune521.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

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

rewrite639.0ms

Algorithm

rewrite-expression-head

Rules

133×	`sqrt-prod`
116×	`sqrt-div`
114×	`add-sqr-sqrt`
59×	`sqrt-pow1`
54×	`pow1`
51×	`unswap-sqr`
42×	`associate-r`
36×	`*-un-lft-identity` `pow-prod-up`
35×	`flip3-+` `pow1/2` `flip-+`
32×	`frac-times`
30×	`associate-l`
22×	`add-cube-cbrt`
16×	`associate-*r/`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `associate-*l/`
7×	`distribute-lft-out`
6×	`pow-plus`
4×	`rem-sqrt-square` `cube-unmult` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-unprod` `*-commutative`

Counts

4 → 223

Calls

4 calls:

24.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
30.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
447.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
129.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
107.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
34.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
85.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.3s

Counts

235 → 235

Iterations

Iter	Nodes
done	5000
2	1851
1	727
0	271

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.3b	(* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite962.0ms

Algorithm

rewrite-expression-head

Rules

300×	`add-sqr-sqrt`
260×	`sqrt-prod`
193×	`unswap-sqr`
94×	`sqrt-div`
60×	`associate-r`
52×	`associate-l`
36×	`*-un-lft-identity`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`cbrt-prod` `frac-times`
24×	`pow1` `add-cube-cbrt`
22×	`cbrt-div`
18×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-*l/`
6×	`sqrt-pow1` `pow1/2` `distribute-lft-out`
4×	`sqrt-unprod` `*-commutative` `insert-posit16` `add-log-exp`
2×	`pow1/3`

Counts

4 → 242

Calls

4 calls:

841.0ms	(* (* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
78.0ms	(* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
15.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
150.0ms	(* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
71.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
93.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify3.3s

Counts

254 → 254

Iterations

Iter	Nodes
done	5000
2	4033
1	1149
0	416

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes215.0ms

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

sample949.0ms

Algorithm

intervals

Results

634.0ms	7713×	body	80	valid
42.0ms	110×	body	1280	valid
23.0ms	80×	body	640	valid
18.0ms	42×	body	2560	valid
9.0ms	40×	body	320	valid
2.0ms	16×	body	160	valid