Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

350×

body

valid

simplify796.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	13
1	25	13
2	53	11
3	112	11
4	163	11
5	191	11
6	220	11
7	285	11
8	413	11
9	679	11
10	764	11
11	803	11
done	803	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

36.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
7.0ms	(- (* (* x 3.0) x) (* x 4.0))
101.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series158.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
77.0ms	(- (* (* x 3.0) x) (* x 4.0))
31.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
26.0ms	(* (* x 3.0) x)

simplify2.1s

Counts

81 → 81

Iterations

Useful iterations: 3 (940.0ms)

Iter	Nodes	Cost
0	117	1095
1	313	1047
2	963	827
3	4106	813
done	5000	813

prune157.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:

3.0ms	(- (* 9.0 x) 12.0)
6.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
11.0ms	(* x (- (* 9.0 x) 12.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* 9.0 x) 12.0)
24.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
64.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: 3 (232.0ms)

Iter	Nodes	Cost
0	84	639
1	202	616
2	495	558
3	1711	550
done	5001	550

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

38.0ms	(+ (+ (* 9.0 (* x x)) (* x (- 12.0))) 3.0)
6.0ms	(+ (* 9.0 (* x x)) (* x (- 12.0)))
7.0ms	(* 9.0 (* x x))

series128.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (+ (* 9.0 (* x x)) (* x (- 12.0))) 3.0)
78.0ms	(+ (* 9.0 (* x x)) (* x (- 12.0)))
26.0ms	(* 9.0 (* x x))

simplify1.5s

Counts

57 → 57

Iterations

Useful iterations: 3 (523.0ms)

Iter	Nodes	Cost
0	85	699
1	236	625
2	780	503
3	2818	493
done	5001	493

prune93.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

13.0ms	(- (* (* x 3.0) x) (- (* x 4.0) 1.0))
38.0ms	(* 3.0 (- (* (* x 3.0) x) (- (* x 4.0) 1.0)))
7.0ms	(* (* x 3.0) x)

series85.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (* (* x 3.0) x) (- (* x 4.0) 1.0))
30.0ms	(* 3.0 (- (* (* x 3.0) x) (- (* x 4.0) 1.0)))
25.0ms	(* (* x 3.0) x)

simplify2.3s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	104	947
1	236	920
2	770	738
3	3450	726
done	5000	726

prune118.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample378.0ms

Algorithm

intervals

Results

262.0ms

10650×

body

valid