Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

388×

body

valid

simplify4.8s

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:

40.0ms

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

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

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

simplify1.9s

Counts

28 → 28

Iterations

Useful iterations: 2 (141.0ms)

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

prune72.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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:

23.0ms	(* 2.0 (pow x 3))
19.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
26.0ms	(* (* x x) 3.0)

series193.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* 2.0 (pow x 3))
123.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
28.0ms	(* (* x x) 3.0)

simplify1.8s

Counts

74 → 74

Iterations

Useful iterations: done (1.8s)

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

prune209.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite77.0ms

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:

27.0ms	(* 2.0 (pow x 3))
25.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
21.0ms	(* x (* x 3.0))

series274.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* 2.0 (pow x 3))
163.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
48.0ms	(* x (* x 3.0))

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

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

prune162.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))))
2.7b	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite149.0ms

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:

11.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
73.0ms	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
63.0ms	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series505.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
163.0ms	(* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
239.0ms	(/ (* (* x x) (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify2.0s

Counts

75 → 75

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	120	1688
1	375	1612
2	1815	1284
done	5000	1124

prune187.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample943.0ms

Algorithm

intervals

Results

708.0ms

12001×

body

valid