Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	11×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify4.5s

Counts: 1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

43.0ms

(+ (* 2 (+ x y)) (+ x z))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify508.0ms

Counts: 22 → 22

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2 (+ x y)) (+ x z))
0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
15.1b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
37.5b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

rewrite587.0ms

Algorithm

rewrite-expression-head

Rules

278×	`associate-*r/`
206×	`flip3-+` `flip-+`
136×	`frac-sub`
132×	`frac-times`
66×	`associate-*l/` `associate-/l/`
43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-log-exp`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod`
6×	`associate--l+` `associate-/r/`
5×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*` `associate--r+`
2×	`sub-neg` `pow-plus`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 253

Calls

4 calls:

30.0ms	(- (* 2 (+ x y)) (+ x z))
81.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
126.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
301.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* 2 (+ x y)) (+ x z))
21.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
176.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
115.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

simplify815.0ms

Counts: 265 → 265

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))
0.2b	(* (/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
0.2b	(/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))
0.3b	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

rewrite932.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
30×	`flip3-+` `flip-+`
29×	`associate-*r/`
28×	`associate-r` `associate-l`
24×	`sqrt-div` `associate-/r/`
20×	`add-exp-log` `frac-sub` `add-cbrt-cube`
12×	`associate-/r*` `associate-/l/`
9×	`pow1` `add-log-exp` `unswap-sqr`
8×	`frac-add`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`flip3--` `flip--`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`sum-log`
2×	`associate-+l+` `frac-2neg` `clear-num` `pow-div`
1×	`+-commutative` `distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `sqrt-pow1` `pow1/2` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 209

Calls

4 calls:

47.0ms	(+ (* 2 (+ x y)) (+ x z))
516.0ms	(* (/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
196.0ms	(/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))
153.0ms	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* 2 (+ x y)) (+ x z))
41.0ms	(* (/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
229.0ms	(/ (+ (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))
115.0ms	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

simplify2.0s

Counts: 221 → 221

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sqrt (- (* 2 (+ x y)) (+ x z))))
0.2b	(* (+ (* 2 (+ x y)) (+ x z)) (/ 1 (sqrt (- (* 2 (+ x y)) (+ x z)))))
0.2b	(* (* (+ (* 2 (+ x y)) (+ x z)) (/ 1 (sqrt (- (* 2 (+ x y)) (+ x z))))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
0.3b	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
73×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
61×	`add-cube-cbrt`
56×	`associate-r`
54×	`add-exp-log`
50×	`flip3-+` `flip-+`
48×	`associate-*r/`
44×	`sqrt-prod`
34×	`add-cbrt-cube`
32×	`frac-times` `associate-*l/`
24×	`sqrt-div` `frac-add` `associate-/r/`
22×	`prod-exp`
20×	`frac-sub`
16×	`pow1`
14×	`div-exp`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l/` `associate-/l*`
5×	`flip3--` `flip--` `unswap-sqr`
4×	`rec-exp` `1-exp` `associate-l` `pow-prod-down` `div-inv` `add-log-exp`
3×	`pow-flip` `un-div-inv`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `*-commutative` `pow-div`
1×	`div-sub` `inv-pow`

Counts

4 → 254

Calls

4 calls:

68.0ms	(/ 1 (sqrt (- (* 2 (+ x y)) (+ x z))))
271.0ms	(* (+ (* 2 (+ x y)) (+ x z)) (/ 1 (sqrt (- (* 2 (+ x y)) (+ x z)))))
671.0ms	(* (* (+ (* 2 (+ x y)) (+ x z)) (/ 1 (sqrt (- (* 2 (+ x y)) (+ x z))))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
181.0ms	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(/ 1 (sqrt (- (* 2 (+ x y)) (+ x z))))
209.0ms	(* (+ (* 2 (+ x y)) (+ x z)) (/ 1 (sqrt (- (* 2 (+ x y)) (+ x z)))))
35.0ms	(* (* (+ (* 2 (+ x y)) (+ x z)) (/ 1 (sqrt (- (* 2 (+ x y)) (+ x z))))) (/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z)))))
89.0ms	(/ (- (* 2 (+ x y)) (+ x z)) (sqrt (- (* 2 (+ x y)) (+ x z))))

simplify762.0ms

Counts: 266 → 266

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.6s

end0.0ms

sample925.0ms

Algorithm

intervals

Results

461.0ms	7450×	body	80	valid
30.0ms	156×	body	1280	valid
28.0ms	187×	body	640	valid
14.0ms	122×	body	320	valid
9.0ms	41×	body	2560	valid
4.0ms	53×	body	160	valid