Details

sample45.0ms

Algorithm

intervals

Results

27.0ms

361×

body

valid

simplify949.0ms

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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)

rewrite402.0ms

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:

36.0ms	(- (* (* x 3.0) x) (* x 4.0))
338.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
26.0ms	(* (* x 3.0) x)

series192.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- (* (* x 3.0) x) (* x 4.0))
51.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
29.0ms	(* (* x 3.0) x)

simplify670.0ms

Counts: 62 → 62

prune173.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite140.0ms

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:

112.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
26.0ms	(* 9.0 (pow x 2))

series96.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
47.0ms	(* 9.0 (pow x 2))

simplify2.5s

Counts: 47 → 47

prune143.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite61.0ms

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` `associate-+r+` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

34.0ms	(+ (* 9.0 (pow x 2)) (- 3.0 (* 12.0 x)))
24.0ms	(* 9.0 (pow x 2))

series91.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* 9.0 (pow x 2)) (- 3.0 (* 12.0 x)))
47.0ms	(* 9.0 (pow x 2))

simplify2.5s

Counts: 48 → 48

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:

13.0ms	(- (* 9.0 x) 12.0)
38.0ms	(* x (- (* 9.0 x) 12.0))

series164.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (* 9.0 x) 12.0)
102.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.1s

Counts: 42 → 42

prune71.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

16.9% (0.1b remaining)

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

bsearch0.0ms

simplify661.0ms

end0.0ms

sample851.0ms

Algorithm

intervals

Results

613.0ms

10666×

body

valid