Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	4	9
1	13	7
2	26	7
3	41	7
4	59	7
5	92	7
6	183	7
7	524	7
8	2128	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (pow x 3) (* x x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`cube-mult`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `distribute-lft1-in` `flip3-+` `unpow3` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

24.0ms

(+ (pow x 3) (* x x))

series115.0ms

Counts

1 → 3

Calls

1 calls:

115.0ms

(+ (pow x 3) (* x x))

simplify2.1s

Counts

17 → 17

Iterations

Useful iterations: 3 (432.0ms)

Iter	Nodes	Cost
0	31	179
1	89	162
2	317	144
3	1216	142
done	5000	142

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

31.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify2.3s

Counts

27 → 27

Iterations

Useful iterations: 3 (630.0ms)

Iter	Nodes	Cost
0	44	255
1	123	244
2	420	214
3	1575	211
done	5001	211

prune45.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* x x) x))
0.0b	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
25.7b	(sqrt (* x (+ (* x x) x)))
25.7b	(sqrt (* x (+ (* x x) x)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`pow1/2`
11×	`*-un-lft-identity`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

26.0ms	(* x (+ (* x x) x))
83.0ms	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
14.0ms	(sqrt (* x (+ (* x x) x)))
10.0ms	(sqrt (* x (+ (* x x) x)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (+ (* x x) x))
60.0ms	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
41.0ms	(sqrt (* x (+ (* x x) x)))
54.0ms	(sqrt (* x (+ (* x x) x)))

simplify3.4s

Counts

119 → 119

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	121	1718
1	264	1280
2	853	1120
3	3585	1036
done	5002	1025

prune274.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	6	7
done	6	7

end0.0ms

sample495.0ms

Algorithm

intervals

Results

199.0ms	8000×	body	80	valid
132.0ms	8000×	pre	80	true