Details

sample55.0ms

Algorithm

intervals

Results

28.0ms

443×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	9
2	24	9
3	26	9
done	26	9

prune4.0ms

Pruning

1 alts after pruning (1 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	(+ (* y y) (* x (+ 2.0 x)))

rewrite48.0ms

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-+r+` `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:

38.0ms	(* x (+ 2.0 x))
9.0ms	(+ (* y y) (* x (+ 2.0 x)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* x (+ 2.0 x))
46.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify2.9s

Counts

42 → 42

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	70	422
1	201	386
2	692	350
3	3316	350
done	5001	350

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 2.0 x))
0.0b	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
0.3b	(* x (sqrt (+ 2.0 x)))
0.4b	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

7.0ms	(sqrt (+ 2.0 x))
9.0ms	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
24.0ms	(* x (sqrt (+ 2.0 x)))
70.0ms	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt (+ 2.0 x))
52.0ms	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
101.0ms	(* x (sqrt (+ 2.0 x)))
62.0ms	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

simplify3.8s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	146	1336
1	381	1000
2	1096	886
3	4216	881
done	5000	881

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

22.0ms	(* x (- x 2.0))
46.0ms	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* x (- x 2.0)) (* 2.0 2.0))))
77.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
52.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* x (- x 2.0)) (* 2.0 2.0)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (- x 2.0))
166.0ms	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* x (- x 2.0)) (* 2.0 2.0))))
140.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
224.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* x (- x 2.0)) (* 2.0 2.0)))

simplify1.2s

Counts

102 → 102

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	168	1730
1	476	1590
2	1773	1408
done	5000	1404

prune272.0ms

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

sample1.2s

Algorithm

intervals

Results

757.0ms

14215×

body

valid