Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

373×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	82	9
4	121	9
5	126	9
6	145	9
7	214	9
8	447	9
9	1349	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

50.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify676.0ms

Counts

28 → 28

Iterations

Useful iterations: done (675.0ms)

Iter	Nodes	Cost
0	57	367
1	180	354
2	1206	308
done	5000	294

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 2.0) (pow x 3))
0.0b	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
0.2b	(* 3.0 (* x x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`pow1`
6×	`prod-exp`
5×	`add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down`
2×	`*-commutative` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `flip-+`

Counts

3 → 71

Calls

3 calls:

18.0ms	(* (- 2.0) (pow x 3))
17.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
18.0ms	(* 3.0 (* x x))

series169.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- 2.0) (pow x 3))
102.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
27.0ms	(* 3.0 (* x x))

simplify1.8s

Counts

80 → 80

Iterations

Useful iterations: 2 (398.0ms)

Iter	Nodes	Cost
0	113	779
1	351	711
2	2429	633
done	5003	633

prune226.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0) (pow x 3))
0.0b	(+ (* (sqrt 3.0) (* (sqrt 3.0) (* x x))) (* (- 2.0) (pow x 3)))
0.3b	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))
0.3b	(* (sqrt 3.0) (* x x))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-sqr-sqrt`
22×	`associate-l`
20×	`add-cbrt-cube`
18×	`pow1`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`pow-prod-down`
7×	`sqrt-prod`
6×	`add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `cube-prod`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
2×	`sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `flip-+`

Counts

4 → 99

Calls

4 calls:

27.0ms	(* (- 2.0) (pow x 3))
75.0ms	(+ (* (sqrt 3.0) (* (sqrt 3.0) (* x x))) (* (- 2.0) (pow x 3)))
59.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))
34.0ms	(* (sqrt 3.0) (* x x))

series406.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- 2.0) (pow x 3))
191.0ms	(+ (* (sqrt 3.0) (* (sqrt 3.0) (* x x))) (* (- 2.0) (pow x 3)))
101.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))
66.0ms	(* (sqrt 3.0) (* x x))

simplify2.2s

Counts

111 → 111

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	136	1256
1	408	953
2	2790	872
done	5001	856

prune347.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
0.2b	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
4.1b	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

20.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
58.0ms	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
45.0ms	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series411.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
121.0ms	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
217.0ms	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify3.3s

Counts

75 → 75

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	120	1688
1	408	1620
2	3566	1306
done	5001	1300

prune149.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample775.0ms

Algorithm

intervals

Results

527.0ms

11928×

body

valid