Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

374×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	1285
8	444
7	215
6	145
5	126
4	121
3	82
2	35
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

37.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series110.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify1.1s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	1243
1	180
0	57

prune125.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

17.0ms	(* x (- 3.0 (* x 2.0)))
30.0ms	(* x (* x (- 3.0 (* x 2.0))))

series190.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* x (- 3.0 (* x 2.0)))
103.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1261
1	230
0	79

prune251.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 3.0 x) x) (* (* (- (* x 2.0)) x) x))
0.1b	(* (* (- (* x 2.0)) x) x)
0.2b	(* (* 3.0 x) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

15.0ms	(+ (* (* 3.0 x) x) (* (* (- (* x 2.0)) x) x))
20.0ms	(* (* (- (* x 2.0)) x) x)
18.0ms	(* (* 3.0 x) x)

series242.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (* (* 3.0 x) x) (* (* (- (* x 2.0)) x) x))
64.0ms	(* (* (- (* x 2.0)) x) x)
44.0ms	(* (* 3.0 x) x)

simplify1.8s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	2147
1	276
0	89

prune320.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (* (- (* x 2.0)) x) x)) (cbrt (* (* (- (* x 2.0)) x) x)))
30.1b	(cbrt (* (* (- (* x 2.0)) x) x))
30.1b	(cbrt (* (* (- (* x 2.0)) x) x))
30.1b	(cbrt (* (* (- (* x 2.0)) x) x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

57.0ms	(* (cbrt (* (* (- (* x 2.0)) x) x)) (cbrt (* (* (- (* x 2.0)) x) x)))
27.0ms	(cbrt (* (* (- (* x 2.0)) x) x))
20.0ms	(cbrt (* (* (- (* x 2.0)) x) x))
14.0ms	(cbrt (* (* (- (* x 2.0)) x) x))

series308.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (* (* (- (* x 2.0)) x) x)) (cbrt (* (* (- (* x 2.0)) x) x)))
69.0ms	(cbrt (* (* (- (* x 2.0)) x) x))
71.0ms	(cbrt (* (* (- (* x 2.0)) x) x))
64.0ms	(cbrt (* (* (- (* x 2.0)) x) x))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	646
1	139
0	56

prune358.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

976.0ms

11977×

body

valid