Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

363×

body

valid

simplify72.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	26	6
1	55	6
2	122	6
3	205	6
4	253	5
5	307	5
6	363	5
7	498	5
8	911	5
9	1187	5
10	1188	5
11	1188	5
done	1188	5

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

8.0ms	(- (* x 3.0) 4.0)
28.0ms	(* x (- (* x 3.0) 4.0))
16.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series132.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* x 3.0) 4.0)
62.0ms	(* x (- (* x 3.0) 4.0))
34.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify40.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	267	361
1	1213	324
2	5001	323
done	5001	323

prune119.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `diff-log` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 41

Calls

2 calls:

53.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
15.0ms	(* 9.0 (pow x 2))

series48.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

simplify151.0ms

Counts

47 → 47

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	193	233
1	766	207
2	4099	201
3	5003	200
done	5003	200

prune91.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

10.0ms	(- (* x 9.0) 12.0)
28.0ms	(* x (- (* x 9.0) 12.0))

series98.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x 9.0) 12.0)
58.0ms	(* x (- (* x 9.0) 12.0))

simplify78.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	137	189
1	560	167
2	2720	166
3	5001	166
done	5001	166

prune72.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2)))) 3.0) (* 12.0 x))
0.3b	(* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2))))
21.0b	(sqrt (pow x 2))
21.0b	(sqrt (pow x 2))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`pow-prod-down`
16×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
14×	`pow1/2`
12×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`add-cube-cbrt` `unpow-prod-down` `rem-sqrt-square` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`sqrt-unprod` `pow-sqr` `pow-prod-up`
4×	`unpow2` `sqr-pow`
2×	`sqrt-pow1` `pow-plus` `diff-log`
1×	`pow2` `sub-neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `sum-log` `rem-square-sqrt` `*-commutative` `flip--`

Counts

4 → 95

Calls

4 calls:

446.0ms	(- (+ (* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2)))) 3.0) (* 12.0 x))
60.0ms	(* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2))))
6.0ms	(sqrt (pow x 2))
3.0ms	(sqrt (pow x 2))

series133.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (+ (* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2)))) 3.0) (* 12.0 x))
72.0ms	(* (* (sqrt 9.0) (sqrt (pow x 2))) (* (sqrt 9.0) (sqrt (pow x 2))))
8.0ms	(sqrt (pow x 2))
9.0ms	(sqrt (pow x 2))

simplify43.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	254	578
1	1136	372
2	5001	361
done	5001	361

prune220.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4
done	11	4

end0.0ms

sample411.0ms

Algorithm

intervals

Results

257.0ms

10733×

body

valid