Details

sample43.0ms

Algorithm

intervals

Results

24.0ms

362×

body

valid

simplify984.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
8.0ms	(- (* x 3.0) 4.0)
41.0ms	(* x (- (* x 3.0) 4.0))
27.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
44.0ms	(- (* x 3.0) 4.0)
66.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify604.0ms

Counts: 85 → 85

prune212.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite98.0ms

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:

75.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
21.0ms	(* 9.0 (pow x 2))

series67.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
31.0ms	(* 9.0 (pow x 2))

simplify2.0s

Counts: 47 → 47

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (- (* 9.0 x) 12.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

19.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
8.0ms	(- (* 9.0 x) 12.0)
31.0ms	(* x (- (* 9.0 x) 12.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
43.0ms	(- (* 9.0 x) 12.0)
68.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.5s

Counts: 60 → 60

prune110.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

8.0ms	(- (* x 3.0) 4.0)
39.0ms	(* x (- (* x 3.0) 4.0))
82.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
29.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* x 3.0) 4.0)
96.0ms	(* x (- (* x 3.0) 4.0))
71.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
54.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify918.0ms

Counts: 102 → 102

prune233.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify401.0ms

end0.0ms

sample851.0ms

Algorithm

intervals

Results

608.0ms

10753×

body

valid