Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify694.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	562
4	131
3	43
2	26
1	13
0	4

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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`
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 → 37

Calls

2 calls:

17.0ms	(+ (* x (* x x)) (* x x))
15.0ms	(* x (* x x))

series148.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(+ (* x (* x x)) (* x x))
55.0ms	(* x (* x x))

simplify1.1s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1417
1	192
0	57

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
0.2b	(* (sqrt x) x)
0.2b	(* (sqrt x) x)
0.2b	(* (* (sqrt x) x) (* (sqrt x) x))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

119×	`pow1`
57×	`pow-prod-up`
38×	`pow-plus`
36×	`sqrt-pow1` `pow1/2`
28×	`pow-prod-down`
26×	`add-sqr-sqrt`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l` `pow-sqr`
10×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`cube-unmult` `sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`unswap-sqr`
3×	`*-commutative`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 134

Calls

4 calls:

74.0ms	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
16.0ms	(* (sqrt x) x)
16.0ms	(* (sqrt x) x)
45.0ms	(* (* (sqrt x) x) (* (sqrt x) x))

series256.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
44.0ms	(* (sqrt x) x)
60.0ms	(* (sqrt x) x)
59.0ms	(* (* (sqrt x) x) (* (sqrt x) x))

simplify1.3s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	1884
1	341
0	108

prune406.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

26.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify778.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5001
2	1263
1	164
0	44

prune86.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 3) (* x x))
0.0b	(* (sqrt (+ (pow x 3) (* x x))) (sqrt (+ (pow x 3) (* x x))))
29.7b	(sqrt (+ (pow x 3) (* x x)))
29.7b	(sqrt (+ (pow x 3) (* x x)))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`cube-mult` `sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `distribute-rgt-out` `unpow3` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
7×	`distribute-lft1-in`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

25.0ms	(+ (pow x 3) (* x x))
155.0ms	(* (sqrt (+ (pow x 3) (* x x))) (sqrt (+ (pow x 3) (* x x))))
33.0ms	(sqrt (+ (pow x 3) (* x x)))
38.0ms	(sqrt (+ (pow x 3) (* x x)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (pow x 3) (* x x))
97.0ms	(* (sqrt (+ (pow x 3) (* x x))) (sqrt (+ (pow x 3) (* x x))))
67.0ms	(sqrt (+ (pow x 3) (* x x)))
65.0ms	(sqrt (+ (pow x 3) (* x x)))

simplify826.0ms

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	1256
1	271
0	116

prune520.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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
done	8
1	8
0	6

end0.0ms

sample609.0ms

Algorithm

intervals

Results

259.0ms	8000×	body	80	valid
157.0ms	8000×	pre	80	true