Details

sample89.0ms

Algorithm

intervals

Results

18.0ms

403×

body

valid

simplify7.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	8	203
1	15	203
2	37	163
3	78	163
4	102	163
5	126	163
6	188	163
7	333	163
8	868	163
9	3405	163
done	5001	163

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 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))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

8.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
26.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
29.0ms	(* 0.12900613773279798 (* x x))

series290.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
143.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
68.0ms	(* 0.12900613773279798 (* x x))

simplify4.7s

Counts

64 → 64

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	85	14058
1	254	11756
2	882	11596
3	4434	11436
done	5000	11436

prune209.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))
0.1b	(* (* 0.12900613773279798 x) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
28.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
16.0ms	(* (* 0.12900613773279798 x) x)

series257.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
141.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
34.0ms	(* (* 0.12900613773279798 x) x)

simplify4.7s

Counts

63 → 63

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	84	13974
1	228	11631
2	776	11471
3	4534	11271
done	5002	11271

prune303.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `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:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
14.0ms	(* (* x x) x)
62.0ms	(* 0.12900613773279798 (* (* x x) x))

series241.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
52.0ms	(* (* x x) x)
71.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify4.8s

Counts

70 → 70

Iterations

Useful iterations: 2 (277.0ms)

Iter	Nodes	Cost
0	80	13630
1	233	11005
2	801	9848
3	4399	9848
done	5000	9848

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `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` `cbrt-unprod` `flip--`

Counts

2 → 43

Calls

2 calls:

12.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
16.0ms	(* 0.12900613773279798 (pow x 3))

series208.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
73.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.7s

Counts

49 → 49

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	75	17687
1	189	10593
2	574	9953
3	2350	9953
done	5000	9953

prune150.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	334
1	10	334
done	10	334

end0.0ms

sample1.1s

Algorithm

intervals

Results

895.0ms

12006×

body

valid