Details

sample38.0ms

Algorithm

intervals

Results

20.0ms

333×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

6.0ms	(- (* 3.0 x) 4.0)
17.0ms	(* 3.0 (+ 1.0 (* (- (* 3.0 x) 4.0) x)))
21.0ms	(* (- (* 3.0 x) 4.0) x)

series195.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* 3.0 x) 4.0)
42.0ms	(* 3.0 (+ 1.0 (* (- (* 3.0 x) 4.0) x)))
90.0ms	(* (- (* 3.0 x) 4.0) x)

simplify686.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1290
1	278
0	103

prune246.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `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--` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

38.0ms	(+ (* 9.0 (* x x)) (- 3.0 (* x 12.0)))
13.0ms	(- 3.0 (* x 12.0))
28.0ms	(* 9.0 (* x x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* 9.0 (* x x)) (- 3.0 (* x 12.0)))
55.0ms	(- 3.0 (* x 12.0))
49.0ms	(* 9.0 (* x x))

simplify622.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	1257
1	248
0	83

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

5.0ms	(- 3.0 (* x (- 12.0 (* x 9.0))))
17.0ms	(* x (- 12.0 (* x 9.0)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- 3.0 (* x (- 12.0 (* x 9.0))))
119.0ms	(* x (- 12.0 (* x 9.0)))

simplify559.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
2	782
1	193
0	76

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* x x))) (- 3.0 (* x 12.0)))
0.0b	(- 3.0 (* x 12.0))
0.2b	(* (cbrt 9.0) (* x x))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* x x)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

76.0ms	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* x x))) (- 3.0 (* x 12.0)))
4.0ms	(- 3.0 (* x 12.0))
22.0ms	(* (cbrt 9.0) (* x x))
105.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* x x)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* x x))) (- 3.0 (* x 12.0)))
68.0ms	(- 3.0 (* x 12.0))
96.0ms	(* (cbrt 9.0) (* x x))
147.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* x x)))

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1570
1	333
0	115

prune340.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

924.0ms

10691×

body

valid