Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	249×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify15.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

28.0ms

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

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify1.7s

Counts: 15 → 15

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))))

rewrite216.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

22.0ms	(+ x (/ (fabs (- y x)) 2.0))
34.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
31.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
124.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ x (/ (fabs (- y x)) 2.0))
64.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify651.0ms

Counts: 118 → 118

prune319.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 211

Calls

4 calls:

33.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
244.0ms	(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
136.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
83.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
41.0ms	(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
59.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify1.5s

Counts: 223 → 223

prune623.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite605.0ms

Algorithm

rewrite-expression-head

Rules

118×	`sqrt-div`
35×	`flip3-+` `flip-+`
34×	`associate-*r/`
32×	`frac-times`
28×	`cbrt-div`
23×	`sqrt-prod`
21×	`*-un-lft-identity`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
16×	`associate-*l/`
14×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-out` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 118

Calls

4 calls:

423.0ms	(* (* (* (fabs (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
137.0ms	(* (* (fabs (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
19.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (* (* (fabs (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
132.0ms	(* (* (fabs (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
80.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
66.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.6s

Counts: 130 → 130

prune926.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify26.0ms

end0.0ms

sample697.0ms

Algorithm

intervals

Results

344.0ms	7716×	body	80	valid
33.0ms	50×	body	2560	valid
17.0ms	96×	body	1280	valid
11.0ms	78×	body	640	valid
4.0ms	41×	body	320	valid
1.0ms	19×	body	160	valid