Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite21.0ms

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:

21.0ms

(+ x (/ 1.0 3.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ x (/ 1.0 3.0))

simplify3.3s

Counts

15 → 15

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	28	123
1	78	118
2	201	108
3	451	108
4	1190	108
5	2858	108
done	5001	108

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b	(- x (/ 1.0 3.0))
13.1b	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
30×	`times-frac`
27×	`*-un-lft-identity`
20×	`difference-of-squares`
15×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--` `associate-/l*`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 79

Calls

3 calls:

9.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
10.0ms	(- x (/ 1.0 3.0))
47.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
42.0ms	(- x (/ 1.0 3.0))
147.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify2.6s

Counts

88 → 88

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	131	1858
1	324	1751
2	1037	1487
3	4104	1465
done	5001	1345

prune288.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.1b	(* (- x (/ 1.0 3.0)) (+ (pow x 2) (pow (/ 1.0 3.0) 2)))
0.2b	(* (* x x) (* x x))
19.0b	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (- x (/ 1.0 3.0)) (+ (pow x 2) (pow (/ 1.0 3.0) 2))))

rewrite406.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
23×	`add-exp-log` `add-cbrt-cube`
22×	`pow-sqr`
20×	`add-sqr-sqrt`
18×	`pow-plus`
16×	`*-un-lft-identity`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
8×	`frac-times` `add-cube-cbrt` `flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r` `flip-+` `add-log-exp` `difference-of-squares`
4×	`associate-r/` `associate-l/` `associate-/l*`
2×	`cbrt-undiv` `unpow-prod-down` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `swap-sqr` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 145

Calls

4 calls:

14.0ms	(- x (/ 1.0 3.0))
186.0ms	(* (- x (/ 1.0 3.0)) (+ (pow x 2) (pow (/ 1.0 3.0) 2)))
37.0ms	(* (* x x) (* x x))
163.0ms	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (- x (/ 1.0 3.0)) (+ (pow x 2) (pow (/ 1.0 3.0) 2))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- x (/ 1.0 3.0))
36.0ms	(* (- x (/ 1.0 3.0)) (+ (pow x 2) (pow (/ 1.0 3.0) 2)))
45.0ms	(* (* x x) (* x x))
245.0ms	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (- x (/ 1.0 3.0)) (+ (pow x 2) (pow (/ 1.0 3.0) 2))))

simplify1.4s

Counts

157 → 157

Iterations

Useful iterations: 2 (435.0ms)

Iter	Nodes	Cost
0	199	3231
1	565	2224
2	3006	1954
done	5001	1954

prune442.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample487.0ms

Algorithm

intervals

Results

258.0ms

8000×

body

valid