Details

sample39.0ms

Algorithm

intervals

Results

25.0ms

379×

body

valid

simplify6.1s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:

42.0ms

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

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify2.5s

Counts

28 → 28

Iterations

Useful iterations: 2 (162.0ms)

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

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)

rewrite71.0ms

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:

19.0ms	(* 2.0 (pow x 3))
20.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
30.0ms	(* (* x x) 3.0)

series276.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* 2.0 (pow x 3))
167.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
35.0ms	(* (* x x) 3.0)

simplify1.6s

Counts

74 → 74

Iterations

Useful iterations: done (1.6s)

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

prune208.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))))
0.1b	(* x (* x 3.0))

rewrite82.0ms

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:

14.0ms	(* 2.0 (pow x 3))
32.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
34.0ms	(* x (* x 3.0))

series250.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* 2.0 (pow x 3))
148.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
45.0ms	(* x (* x 3.0))

simplify1.4s

Counts

73 → 73

Iterations

Useful iterations: done (1.4s)

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

prune187.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
6.3b	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

54.0ms	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
59.0ms	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series390.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
242.0ms	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify1.5s

Counts

59 → 59

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	113	1424
1	361	1367
2	1768	1077
done	5001	917

prune149.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample692.0ms

Algorithm

intervals

Results

507.0ms

11995×

body

valid