Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

374×

body

valid

simplify2.4s

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:

51.0ms

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

series113.0ms

Counts

1 → 3

Calls

1 calls:

113.0ms

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

simplify882.0ms

Counts

28 → 28

Iterations

Useful iterations: done (881.0ms)

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

prune47.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))

rewrite64.0ms

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:

23.0ms	(* (- 2.0) (pow x 3))
19.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
19.0ms	(* 3.0 (* x x))

series184.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (- 2.0) (pow x 3))
105.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
27.0ms	(* 3.0 (* x x))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: 2 (523.0ms)

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

prune178.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

30.0ms	(* x (- 3.0 (* x 2.0)))
49.0ms	(* x (* x (- 3.0 (* x 2.0))))

series209.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* x (- 3.0 (* x 2.0)))
114.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify840.0ms

Counts

58 → 58

Iterations

Useful iterations: done (838.0ms)

Iter	Nodes	Cost
0	79	669
1	230	655
2	1261	585
done	5000	573

prune130.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.2b	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
0.3b	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

60.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
58.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
41.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series575.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
223.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
243.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify1.7s

Counts

88 → 88

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	133	1992
1	416	1942
2	2466	1576
done	5001	1572

prune289.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	19	12
3	20	12
done	20	12

end0.0ms

sample893.0ms

Algorithm

intervals

Results

599.0ms

12074×

body

valid