Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

378×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	1127
10	442
9	263
8	200
7	171
6	154
5	144
4	137
3	88
2	34
1	13
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `prod-diff` `add-exp-log`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 34

Calls

1 calls:

25.0ms

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

series104.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

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

simplify2.9s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	3864
2	829
1	229
0	78

prune132.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

36.0ms

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

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

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

simplify2.3s

Counts

27 → 27

Iterations

Iter	Nodes
done	5004
3	2562
2	514
1	144
0	52

prune88.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r` `associate-*l/`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 46

Calls

2 calls:

13.0ms	(* (- 3.0 (* x 2.0)) x)
32.0ms	(* (* (- 3.0 (* x 2.0)) x) x)

series272.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* (- 3.0 (* x 2.0)) x)
158.0ms	(* (* (- 3.0 (* x 2.0)) x) x)

simplify2.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	2908
2	636
1	195
0	74

prune151.0ms

Pruning

8 alts after pruning (6 fresh and 2 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	(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
0.2b	(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
50×	`pow1`
42×	`associate-*r/`
35×	`flip3--` `flip--`
34×	`add-exp-log`
32×	`frac-times`
27×	`pow-prod-down`
21×	`add-cbrt-cube` `prod-exp` `cbrt-unprod`
16×	`associate-*l/`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `pow-plus` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow1/3` `associate-l` `pow-sqr` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 131

Calls

4 calls:

2.0ms	(cbrt (- 3.0 (* x 2.0)))
2.0ms	(cbrt (- 3.0 (* x 2.0)))
170.0ms	(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
81.0ms	(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))

series738.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- 3.0 (* x 2.0)))
215.0ms	(cbrt (- 3.0 (* x 2.0)))
114.0ms	(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
218.0ms	(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))

simplify2.4s

Counts

143 → 143

Iterations

Iter	Nodes
done	5002
2	2582
1	738
0	267

prune657.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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

sample1.2s

Algorithm

intervals

Results

1.0s

12046×

body

valid