Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1.0 3.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `times-frac` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

8.0ms

(- x (/ 1.0 3.0))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- x (/ 1.0 3.0))

simplify2.4s

Counts

18 → 18

Iterations

Iter	Nodes
done	5002
5	2990
4	1075
3	402
2	179
1	82
0	38

prune62.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
0.1b	(* x (* x x))
0.4b	(* x (/ 1.0 3.0))
17.8b	(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`associate-r`
6×	`associate-l` `add-log-exp`
5×	`cube-unmult` `prod-exp` `associate-*r/` `pow-prod-up` `cbrt-unprod`
4×	`difference-cubes` `pow3` `pow-prod-down` `associate-/l*`
3×	`associate-/r*` `frac-add` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `*-commutative` `flip-+` `div-inv` `associate-/l/`
1×	`pow2` `frac-times` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-plus` `distribute-rgt-out` `flip3--` `div-sub` `associate-*l/` `pow-sqr` `flip--`

Counts

4 → 107

Calls

4 calls:

22.0ms	(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
23.0ms	(* x (* x x))
11.0ms	(* x (/ 1.0 3.0))
203.0ms	(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
63.0ms	(* x (* x x))
17.0ms	(* x (/ 1.0 3.0))
242.0ms	(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5016
2	2347
1	572
0	203

prune500.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (/ 1.0 3.0))
14.1b	(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
14.1b	(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
14.1b	(/ (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
28×	`times-frac`
18×	`sqrt-prod`
13×	`associate-r`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `sqrt-div`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `unswap-sqr` `pow-div` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 107

Calls

4 calls:

11.0ms	(* x (/ 1.0 3.0))
85.0ms	(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
68.0ms	(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
151.0ms	(/ (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* x (/ 1.0 3.0))
65.0ms	(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
68.0ms	(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
69.0ms	(/ (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

simplify1.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1450
1	450
0	176

prune713.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample318.0ms

Algorithm

intervals

Results

200.0ms

8000×

body

valid