Details

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify6.9s

Counts

1 → 1

Iterations

Iter	Nodes
9	8138
8	1780
7	613
6	271
5	144
4	91
3	41
2	24
1	13
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

18.0ms	(+ (* x (* x x)) (* x x))
15.0ms	(* x (* x x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(+ (* x (* x x)) (* x x))
40.0ms	(* x (* x x))

simplify1.4s

Counts

45 → 45

Iterations

Iter	Nodes
3	2950
2	546
1	148
0	59

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

29.0ms

(* x (+ (* x x) x))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(* x (+ (* x x) x))

simplify1.1s

Counts

28 → 28

Iterations

Iter	Nodes
3	3381
2	500
1	130
0	45

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* x (* x x))
52.3b	(/ (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x)) (* (* x x) (+ (- (* x x) (* x (* x x))) (* (* x x) (* x x)))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

240×	`pow1`
77×	`pow-prod-up`
49×	`pow-prod-down`
45×	`pow-sqr`
42×	`add-cbrt-cube` `add-exp-log`
37×	`pow-plus`
27×	`pow2`
22×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `-commutative` `associate-/l` `unswap-sqr`
2×	`flip3-+` `swap-sqr` `associate-*r/` `associate-/r/` `flip-+` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `cube-unmult` `div-inv`

Counts

4 → 181

Calls

4 calls:

38.0ms	(* (* x x) (* x x))
36.0ms	(* (* x x) (* x x))
22.0ms	(* x (* x x))
1.7s	(/ (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x)) (* (* x x) (+ (- (* x x) (* x (* x x))) (* (* x x) (* x x)))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* x x) (* x x))
52.0ms	(* (* x x) (* x x))
50.0ms	(* x (* x x))
391.0ms	(/ (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x)) (* (* x x) (+ (- (* x x) (* x (* x x))) (* (* x x) (* x x)))))

simplify735.0ms

Counts

193 → 193

Iterations

Iter	Nodes
2	2151
1	417
0	133

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	4

end0.0ms

sample746.0ms

Algorithm

intervals

Results

388.0ms	8000×	body	80	valid
248.0ms	8000×	pre	80	true