Details

sample120.0ms

Algorithm

intervals

Results

23.0ms

385×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	133	9
5	214	9
6	441	9
7	1200	9
done	5000	9

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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	(* (* x x) x)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

19.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
89.0ms	(* 0.12900613773279798 (* (* x x) x))
50.0ms	(* (* x x) x)

series319.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
69.0ms	(* 0.12900613773279798 (* (* x x) x))
66.0ms	(* (* x x) x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 2 (346.0ms)

Iter	Nodes	Cost
0	80	698
1	244	506
2	1658	427
done	5000	427

prune244.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 1 (* (pow x 3) 0.12900613773279798)))
0.1b	(* (pow x 3) 0.12900613773279798)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
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-r` `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:

21.0ms	(- (* 0.954929658551372 x) (* 1 (* (pow x 3) 0.12900613773279798)))
24.0ms	(* (pow x 3) 0.12900613773279798)

series222.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(- (* 0.954929658551372 x) (* 1 (* (pow x 3) 0.12900613773279798)))
63.0ms	(* (pow x 3) 0.12900613773279798)

simplify957.0ms

Counts

49 → 49

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	77	517
1	203	432
2	888	408
done	5000	406

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 1 (* (* x x) (* x 0.12900613773279798))))
0.2b	(* (* x x) (* x 0.12900613773279798))

rewrite82.0ms

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:

19.0ms	(- (* 0.954929658551372 x) (* 1 (* (* x x) (* x 0.12900613773279798))))
61.0ms	(* (* x x) (* x 0.12900613773279798))

series226.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(- (* 0.954929658551372 x) (* 1 (* (* x x) (* x 0.12900613773279798))))
67.0ms	(* (* x x) (* x 0.12900613773279798))

simplify2.1s

Counts

40 → 40

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	66	565
1	203	402
2	1255	344
done	5000	336

prune172.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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:

13.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
36.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
45.0ms	(* 0.12900613773279798 (* x x))

series359.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
198.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
51.0ms	(* 0.12900613773279798 (* x x))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: 2 (437.0ms)

Iter	Nodes	Cost
0	85	673
1	254	654
2	1553	566
done	5002	566

prune275.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	15	9
2	16	9
done	16	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

12131×

body

valid