Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

362×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	80	9
4	112	9
5	117	9
6	134	9
7	177	9
8	313	9
9	771	9
10	2511	9
done	5000	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:

29.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify1.5s

Counts

28 → 28

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	57	367
1	161	352
2	594	294
3	2367	294
done	5002	294

prune43.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`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`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 65

Calls

3 calls:

12.0ms	(* 2.0 (pow x 3))
18.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
18.0ms	(* (* x x) 3.0)

series158.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* 2.0 (pow x 3))
94.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
27.0ms	(* (* x x) 3.0)

simplify962.0ms

Counts

74 → 74

Iterations

Useful iterations: done (960.0ms)

Iter	Nodes	Cost
0	110	718
1	275	620
2	1029	568
done	5001	536

prune123.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

13.0ms	(* 2.0 (pow x 3))
18.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
15.0ms	(* x (* x 3.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 2.0 (pow x 3))
96.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
25.0ms	(* x (* x 3.0))

simplify989.0ms

Counts

73 → 73

Iterations

Useful iterations: done (987.0ms)

Iter	Nodes	Cost
0	105	707
1	270	621
2	996	563
done	5001	529

prune119.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`associate-l` `prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`sqrt-prod`
9×	`unswap-sqr`
8×	`add-log-exp`
7×	`cbrt-unprod`
5×	`unpow-prod-down` `cube-prod`
4×	`pow-prod-down`
3×	`*-commutative` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `sum-log`
1×	`+-commutative` `neg-sub0` `cube-mult` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `flip-+`

Counts

4 → 94

Calls

4 calls:

21.0ms	(+ (* (* x x) 3.0) (- (* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))))
15.0ms	(* (sqrt 2.0) (pow x 3))
18.0ms	(* (* x x) 3.0)
31.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (* (* x x) 3.0) (- (* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))))
67.0ms	(* (sqrt 2.0) (pow x 3))
25.0ms	(* (* x x) 3.0)
94.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	132	1232
1	335	921
2	1339	847
done	5001	815

prune178.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	20	12
done	20	12

end0.0ms

sample385.0ms

Algorithm

intervals

Results

220.0ms

11898×

body

valid