Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

342×

body

valid

simplify68.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

270.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
25.0ms	(* (* x 3.0) x)

series61.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
28.0ms	(* (* x 3.0) x)

simplify81.0ms

Counts: 47 → 47

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:

42.0ms

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

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify107.0ms

Counts: 27 → 27

prune64.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite509.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

231.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
257.0ms	(* (cbrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
18.0ms	(* (* x 3.0) x)

series146.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
56.0ms	(* (cbrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
26.0ms	(* (* x 3.0) x)

simplify47.0ms

Counts: 82 → 82

prune171.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

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))

rewrite99.0ms

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:

81.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
17.0ms	(* 9.0 (pow x 2))

series57.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
29.0ms	(* 9.0 (pow x 2))

simplify64.0ms

Counts: 47 → 47

prune98.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify27.0ms

end0.0ms

sample863.0ms

Algorithm

intervals

Results

616.0ms

10699×

body

valid