Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify1.0s

Counts

1 → 1

Iterations

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

prune7.0ms

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))

rewrite30.0ms

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:

15.0ms	(+ (* x (* x x)) (* x x))
14.0ms	(* x (* x x))

series159.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* x (* x x)) (* x x))
64.0ms	(* x (* x x))

simplify1.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1417
1	192
0	57

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

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:

53.0ms	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
68.0ms	(* (* (sqrt x) x) (* (sqrt x) x))
9.0ms	(* (sqrt x) x)
8.0ms	(* (sqrt x) x)

series247.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
55.0ms	(* (* (sqrt x) x) (* (sqrt x) x))
43.0ms	(* (sqrt x) x)
62.0ms	(* (sqrt x) x)

simplify1.3s

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
2	1894
1	345
0	108

prune313.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) x)
0.0b	(- (pow x 6) (pow x 4))
0.0b	(* x (- (* x x) x))
47.9b	(/ (- (pow x 6) (pow x 4)) (* x (- (* x x) x)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
29×	`difference-of-squares`
18×	`unpow-prod-down` `sqr-pow`
16×	`*-un-lft-identity`
13×	`times-frac` `associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`flip3--` `associate-r` `flip--`
4×	`sub-neg` `associate-*r/`
3×	`associate-l` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `distribute-rgt-out--` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

13.0ms	(- (* x x) x)
29.0ms	(- (pow x 6) (pow x 4))
25.0ms	(* x (- (* x x) x))
64.0ms	(/ (- (pow x 6) (pow x 4)) (* x (- (* x x) x)))

series576.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* x x) x)
154.0ms	(- (pow x 6) (pow x 4))
107.0ms	(* x (- (* x x) x))
269.0ms	(/ (- (pow x 6) (pow x 4)) (* x (- (* x x) x)))

simplify2.3s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	2481
1	474
0	168

prune461.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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

sample617.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
153.0ms	8000×	pre	80	true