Details

sample42.0ms

Algorithm

intervals

Results

31.0ms

378×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	1138
10	457
9	235
8	169
7	141
6	124
5	116
4	109
3	80
2	34
1	13
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

30.0ms

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

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

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

simplify2.8s

Counts

29 → 29

Iterations

Iter	Nodes
done	5005
3	2999
2	625
1	171
0	58

prune85.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite70.0ms

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` `insert-posit16` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 54

Calls

2 calls:

24.0ms	(* x (- 3.0 (* x 2.0)))
44.0ms	(* x (* x (- 3.0 (* x 2.0))))

series237.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(* x (- 3.0 (* x 2.0)))
122.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify3.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	4895
2	854
1	231
0	81

prune207.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite87.0ms

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`
3×	`insert-posit16`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `distribute-rgt-out` `unsub-neg` `flip-+`

Counts

3 → 54

Calls

3 calls:

24.0ms	(+ (* (* 3.0 x) x) (* (* (- (* x 2.0)) x) x))
41.0ms	(* (* (- (* x 2.0)) x) x)
20.0ms	(* (* 3.0 x) x)

series254.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(+ (* (* 3.0 x) x) (* (* (- (* x 2.0)) x) x))
56.0ms	(* (* (- (* x 2.0)) x) x)
46.0ms	(* (* 3.0 x) x)

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1128
1	277
0	92

prune214.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 3.0 (* x 2.0)))
0.2b	(cbrt (- 3.0 (* x 2.0)))
0.2b	(cbrt (- 3.0 (* x 2.0)))
0.4b	(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (- 3.0 (* x 2.0)))
3.0ms	(cbrt (- 3.0 (* x 2.0)))
6.0ms	(cbrt (- 3.0 (* x 2.0)))
121.0ms	(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series539.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- 3.0 (* x 2.0)))
176.0ms	(cbrt (- 3.0 (* x 2.0)))
151.0ms	(cbrt (- 3.0 (* x 2.0)))
78.0ms	(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1490
1	498
0	188

prune381.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

877.0ms

12046×

body

valid