Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

380×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	88	9
4	140	9
5	147	9
6	164	9
7	211	9
8	355	9
9	829	9
10	2619	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

33.0ms

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

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

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

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	77	533
1	207	518
2	681	442
3	2676	421
done	5002	397

prune61.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 71

Calls

3 calls:

18.0ms	(* 2.0 (pow x 3))
32.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
19.0ms	(* (* x 3.0) x)

series260.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* 2.0 (pow x 3))
147.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
44.0ms	(* (* x 3.0) x)

simplify1.9s

Counts

80 → 80

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	113	760
1	289	673
2	1064	609
done	5000	573

prune259.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x x) 2.0)
0.0b	(+ (* (* x 3.0) x) (- (* (* (* x x) 2.0) x)))
0.1b	(* (* (* x x) 2.0) x)
0.2b	(* (* x 3.0) x)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `distribute-lft-neg-in` `associate-+r-` `distribute-rgt-out` `fma-def` `flip3-+` `unsub-neg` `neg-log` `flip-+` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

26.0ms	(* (* x x) 2.0)
32.0ms	(+ (* (* x 3.0) x) (- (* (* (* x x) 2.0) x)))
78.0ms	(* (* (* x x) 2.0) x)
32.0ms	(* (* x 3.0) x)

series277.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x x) 2.0)
154.0ms	(+ (* (* x 3.0) x) (- (* (* (* x x) 2.0) x)))
66.0ms	(* (* (* x x) 2.0) x)
29.0ms	(* (* x 3.0) x)

simplify2.8s

Counts

95 → 95

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	123	974
1	328	878
2	1360	663
done	5001	654

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
21.4b	(sqrt (* (* x 3.0) x))
21.4b	(sqrt (* (* x 3.0) x))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

32.0ms	(* (* x 3.0) x)
177.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
15.0ms	(sqrt (* (* x 3.0) x))
15.0ms	(sqrt (* (* x 3.0) x))

series300.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x 3.0) x)
119.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
73.0ms	(sqrt (* (* x 3.0) x))
66.0ms	(sqrt (* (* x 3.0) x))

simplify4.1s

Counts

128 → 128

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	88	1171
1	175	809
2	567	696
3	2088	617
done	5000	607

prune395.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	27	14
3	29	14
done	29	14

end0.0ms

sample786.0ms

Algorithm

intervals

Results

532.0ms

12013×

body

valid