Details

sample116.0ms

Algorithm

intervals

Results

24.0ms

397×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	102	9
5	145	9
6	281	9
7	739	9
8	2436	9
done	5000	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.0b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
17.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
19.0ms	(* 0.12900613773279798 (* x x))

series314.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
154.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
58.0ms	(* 0.12900613773279798 (* x x))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	85	673
1	197	636
2	577	564
3	2178	564
done	5000	564

prune182.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.2b	(* 0.12900613773279798 (pow x 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 43

Calls

2 calls:

17.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
30.0ms	(* 0.12900613773279798 (pow x 3))

series191.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
63.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.7s

Counts

49 → 49

Iterations

Useful iterations: 3 (722.0ms)

Iter	Nodes	Cost
0	75	483
1	181	433
2	565	401
3	2976	399
done	5001	399

prune127.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

12.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
28.0ms	(* (* 0.12900613773279798 x) (* x x))

series232.0ms

Counts

2 → 6

Calls

2 calls:

177.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
55.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify3.5s

Counts

40 → 40

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	63	525
1	166	402
2	644	336
3	2984	334
done	5000	334

prune88.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
0.1b	(* (* (* 0.12900613773279798 x) x) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
65.0ms	(* (* (* 0.12900613773279798 x) x) x)
30.0ms	(* (* 0.12900613773279798 x) x)

series259.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
50.0ms	(* (* (* 0.12900613773279798 x) x) x)
47.0ms	(* (* 0.12900613773279798 x) x)

simplify3.9s

Counts

61 → 61

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	80	668
1	220	584
2	898	468
3	3359	464
done	5000	464

prune116.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	9	9
done	9	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

12014×

body

valid