Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify936.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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

rewrite104.0ms

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:

17.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
13.0ms	(- (* x 3.0) 4.0)
26.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
45.0ms	(* x (- (* x 3.0) 4.0))

series243.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
57.0ms	(- (* x 3.0) 4.0)
52.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
93.0ms	(* x (- (* x 3.0) 4.0))

simplify618.0ms

Counts: 85 → 85

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

13.0ms	(+ (* 9.0 (pow x 2)) 3.0)
89.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
19.0ms	(* 9.0 (pow x 2))

series387.0ms

Counts

3 → 9

Calls

3 calls:

312.0ms	(+ (* 9.0 (pow x 2)) 3.0)
39.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
36.0ms	(* 9.0 (pow x 2))

simplify2.6s

Counts: 61 → 61

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

32.0ms	(+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0)
251.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
21.0ms	(* (sqrt 9.0) (pow x 2))
37.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0)
51.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
49.0ms	(* (sqrt 9.0) (pow x 2))
77.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

simplify614.0ms

Counts: 93 → 93

prune206.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

8.0ms	(- (* 9.0 x) 12.0)
33.0ms	(* x (- (* 9.0 x) 12.0))

series107.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* 9.0 x) 12.0)
67.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.0s

Counts: 42 → 42

prune87.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

3.4% (0.1b remaining)

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

bsearch0.0ms

simplify2.4s

end0.0ms

sample861.0ms

Algorithm

intervals

Results

615.0ms

10744×

body

valid