Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

452×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	15	9
2	23	9
3	25	9
done	25	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (* x 2.0) (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

11.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms	(+ (* x 2.0) (* x x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
57.0ms	(+ (* x 2.0) (* x x))

simplify1.5s

Counts

31 → 31

Iterations

Useful iterations: 3 (363.0ms)

Iter	Nodes	Cost
0	57	440
1	183	340
2	845	308
3	2941	302
done	5000	302

prune65.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* x (+ 2.0 x)) (* y y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(* x (+ 2.0 x))
5.0ms	(+ (* x (+ 2.0 x)) (* y y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (+ 2.0 x))
30.0ms	(+ (* x (+ 2.0 x)) (* y y))

simplify3.2s

Counts

42 → 42

Iterations

Useful iterations: 3 (458.0ms)

Iter	Nodes	Cost
0	69	422
1	209	388
2	923	356
3	4137	350
done	5000	350

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.1b	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`pow1`
18×	`sqrt-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`sqrt-div`
10×	`associate-r`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `swap-sqr` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-+r+` `associate-*r/` `pow-prod-down`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr`
2×	`+-commutative` `associate-l/` `prod-exp` `sum-log` `-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

9.0ms	(* x (+ 2.0 x))
3.0ms	(+ (* y y) (* x (+ 2.0 x)))
3.0ms	(+ (* y y) (* x (+ 2.0 x)))
19.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* x (+ 2.0 x))
30.0ms	(+ (* y y) (* x (+ 2.0 x)))
34.0ms	(+ (* y y) (* x (+ 2.0 x)))
31.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify645.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	128	2344
1	298	1667
2	1301	1465
done	5001	1465

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 2.0 x))
0.0b	(+ (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
0.1b	(* x (+ (pow 2.0 3) (pow x 3)))
12.0b	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `associate-*r/` `flip-+`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

3.0ms	(- (* x x) (* 2.0 x))
61.0ms	(+ (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
48.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
31.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* x x) (* 2.0 x))
105.0ms	(+ (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
96.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
203.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify961.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	157	1798
1	481	1522
2	2298	1360
done	5001	1360

prune228.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample564.0ms

Algorithm

intervals

Results

340.0ms

14328×

body

valid