Details

sample41.0ms

Algorithm

intervals

Results

22.0ms

333×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	55	11
3	122	11
4	303	11
5	824	11
6	2820	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

40.0ms	(- (* (* x 3.0) x) (* x 4.0))
401.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
31.0ms	(* (* x 3.0) x)

series219.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(- (* (* x 3.0) x) (* x 4.0))
55.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
51.0ms	(* (* x 3.0) x)

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	105	803
1	308	760
2	1711	620
done	5000	616

prune226.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize28.0ms

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))

rewrite101.0ms

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:

74.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

series81.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
48.0ms	(* 9.0 (pow x 2))

simplify638.0ms

Counts

47 → 47

Iterations

Useful iterations: done (636.0ms)

Iter	Nodes	Cost
0	82	509
1	202	479
2	807	424
done	5000	386

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

47.0ms

(* x (- (* 9.0 x) 12.0))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(* x (- (* 9.0 x) 12.0))

simplify2.7s

Counts

27 → 27

Iterations

Useful iterations: 3 (940.0ms)

Iter	Nodes	Cost
0	52	273
1	135	270
2	547	244
3	3879	236
done	5001	236

prune112.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

276.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
16.0ms	(* (sqrt 9.0) (pow x 2))
40.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
57.0ms	(* (sqrt 9.0) (pow x 2))
101.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

simplify1.2s

Counts

79 → 79

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	107	1013
1	273	922
2	1488	679
done	5001	639

prune243.0ms

Pruning

5 alts after pruning (2 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample871.0ms

Algorithm

intervals

Results

632.0ms

10545×

body

valid