Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	242×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify9.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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:

50.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify42.0ms

Counts: 22 → 22

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (- x z) (+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y)))))
2.3b	(- (* x x) (* y y))
5.0b	(+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y))))
39.7b	(/ (* (- x z) (+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y))))) (* (- x y) (- x z)))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

178×	`associate-*r/`
143×	`flip3--` `flip--`
132×	`frac-times`
112×	`frac-add`
56×	`associate-/l/`
49×	`flip3-+` `flip-+`
34×	`associate-*l/`
18×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `associate-/r/` `add-log-exp`
6×	`pow1` `add-cube-cbrt`
5×	`associate-l` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `div-exp`
3×	`sub-neg` `associate-r`
2×	`associate-+l+` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `times-frac` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 209

Calls

4 calls:

161.0ms	(* (- x z) (+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y)))))
9.0ms	(- (* x x) (* y y))
45.0ms	(+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y))))
133.0ms	(/ (* (- x z) (+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y))))) (* (- x y) (- x z)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (- x z) (+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y)))))
45.0ms	(- (* x x) (* y y))
89.0ms	(+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y))))
89.0ms	(/ (* (- x z) (+ (* (- x y) (+ x z)) (* 2 (- (* x x) (* y y))))) (* (- x y) (- x z)))

simplify78.0ms

Counts: 221 → 221

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (* 2 (+ x y)) 3)
5.4b	(+ (pow (* 2 (+ x y)) 3) (pow (+ x z) 3))
10.2b	(+ (* (+ x z) (- (+ x z) (* 2 (+ x y)))) (* 4 (* (+ x y) (+ x y))))
44.0b	(/ (+ (pow (* 2 (+ x y)) 3) (pow (+ x z) 3)) (+ (* (+ x z) (- (+ x z) (* 2 (+ x y)))) (* 4 (* (+ x y) (+ x y)))))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

698×	`associate-*r/`
557×	`flip3-+` `flip-+`
352×	`frac-times`
328×	`frac-add`
192×	`frac-sub`
162×	`associate-/r/`
112×	`associate-*l/`
48×	`flip3--` `flip--`
25×	`*-un-lft-identity`
18×	`cube-div`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1` `distribute-rgt-in` `distribute-lft-in`
6×	`associate-+l+` `associate-/l/`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+r+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `sub-neg` `pow-pow` `pow-exp` `associate--l+` `sum-log` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `sqr-pow`

Counts

4 → 425

Calls

4 calls:

23.0ms	(pow (* 2 (+ x y)) 3)
77.0ms	(+ (pow (* 2 (+ x y)) 3) (pow (+ x z) 3))
96.0ms	(+ (* (+ x z) (- (+ x z) (* 2 (+ x y)))) (* 4 (* (+ x y) (+ x y))))
352.0ms	(/ (+ (pow (* 2 (+ x y)) 3) (pow (+ x z) 3)) (+ (* (+ x z) (- (+ x z) (* 2 (+ x y)))) (* 4 (* (+ x y) (+ x y)))))

series785.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (* 2 (+ x y)) 3)
379.0ms	(+ (pow (* 2 (+ x y)) 3) (pow (+ x z) 3))
147.0ms	(+ (* (+ x z) (- (+ x z) (* 2 (+ x y)))) (* 4 (* (+ x y) (+ x y))))
214.0ms	(/ (+ (pow (* 2 (+ x y)) 3) (pow (+ x z) 3)) (+ (* (+ x z) (- (+ x z) (* 2 (+ x y)))) (* 4 (* (+ x y) (+ x y)))))

simplify269.0ms

Counts: 437 → 437

prune3.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

end0.0ms

sample662.0ms

Algorithm

intervals

Results

314.0ms	7387×	body	80	valid
34.0ms	125×	body	320	valid
23.0ms	187×	body	1280	valid
21.0ms	207×	body	640	valid
6.0ms	70×	body	160	valid
5.0ms	36×	body	2560	valid