Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

336×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2917
5	827
4	303
3	121
2	54
1	25
0	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

4.0ms	(+ 1.0 (* (- (* 3.0 x) 4.0) x))
6.0ms	(- (* 3.0 x) 4.0)
12.0ms	(* 3.0 (+ 1.0 (* (- (* 3.0 x) 4.0) x)))
23.0ms	(* (- (* 3.0 x) 4.0) x)

series197.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 1.0 (* (- (* 3.0 x) 4.0) x))
59.0ms	(- (* 3.0 x) 4.0)
35.0ms	(* 3.0 (+ 1.0 (* (- (* 3.0 x) 4.0) x)))
68.0ms	(* (- (* 3.0 x) 4.0) x)

simplify565.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1382
1	303
0	112

prune241.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

24.0ms	(+ 3.0 (- (* x (* x 9.0)) (* 12.0 x)))
13.0ms	(- (* x (* x 9.0)) (* 12.0 x))
15.0ms	(* x (* x 9.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ 3.0 (- (* x (* x 9.0)) (* 12.0 x)))
82.0ms	(- (* x (* x 9.0)) (* 12.0 x))
29.0ms	(* x (* x 9.0))

simplify476.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	1000
1	223
0	81

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

57.0ms	(+ 3.0 (- (* (* x x) 9.0) (* 12.0 x)))
15.0ms	(- (* (* x x) 9.0) (* 12.0 x))
18.0ms	(* (* x x) 9.0)

series180.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ 3.0 (- (* (* x x) 9.0) (* 12.0 x)))
101.0ms	(- (* (* x x) 9.0) (* 12.0 x))
40.0ms	(* (* x x) 9.0)

simplify767.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1293
1	244
0	85

prune192.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

29.0ms	(+ 1.0 (- (* (* x x) 3.0) (* 4.0 x)))
23.0ms	(- (* (* x x) 3.0) (* 4.0 x))
170.0ms	(* 3.0 (+ 1.0 (- (* (* x x) 3.0) (* 4.0 x))))
22.0ms	(* (* x x) 3.0)

series212.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 1.0 (- (* (* x x) 3.0) (* 4.0 x)))
89.0ms	(- (* (* x x) 3.0) (* 4.0 x))
51.0ms	(* 3.0 (+ 1.0 (- (* (* x x) 3.0) (* 4.0 x))))
36.0ms	(* (* x x) 3.0)

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1844
1	341
0	113

prune345.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

901.0ms

10682×

body

valid