Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

384×

body

valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	32	9
3	57	9
4	69	9
5	70	9
done	70	9

prune2.0ms

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	(- (* x x) (* (* y 4.0) z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

12.0ms

(- (* x x) (* (* y 4.0) z))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(- (* x x) (* (* y 4.0) z))

simplify2.4s

Counts

15 → 15

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	35	220
1	111	213
2	514	185
3	3601	185
done	5001	185

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
1.7b	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
27.0b	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
25×	`add-sqr-sqrt`
18×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity` `difference-of-squares`
9×	`pow-sqr` `pow-prod-up`
8×	`add-log-exp`
6×	`associate-/l*`
5×	`unpow-prod-down` `sqr-pow`
3×	`pow-plus` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 130

Calls

4 calls:

10.0ms	(+ (* x x) (* (* y 4.0) z))
100.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
17.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
48.0ms	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x x) (* (* y 4.0) z))
40.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
74.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
96.0ms	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

simplify2.2s

Counts

142 → 142

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	189	3127
1	545	2823
2	3414	2521
done	5001	2446

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (pow x 6) (pow (* (* y 4.0) z) 3))
1.4b	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))
1.4b	(+ (pow x 4) (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))))
38.6b	(/ (- (pow x 6) (pow (* (* y 4.0) z) 3)) (+ (pow x 4) (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `times-frac` `difference-of-squares`
25×	`sqr-pow`
20×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
10×	`unpow-prod-down` `associate-/l*`
8×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`distribute-lft-out--`
3×	`flip3-+` `associate-r` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 117

Calls

4 calls:

21.0ms	(- (pow x 6) (pow (* (* y 4.0) z) 3))
133.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))
21.0ms	(+ (pow x 4) (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))))
71.0ms	(/ (- (pow x 6) (pow (* (* y 4.0) z) 3)) (+ (pow x 4) (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(- (pow x 6) (pow (* (* y 4.0) z) 3))
85.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))
63.0ms	(+ (pow x 4) (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x))))
186.0ms	(/ (- (pow x 6) (pow (* (* y 4.0) z) 3)) (+ (pow x 4) (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (* x x)))))

simplify3.7s

Counts

129 → 129

Iterations

Useful iterations: 2 (681.0ms)

Iter	Nodes	Cost
0	236	4692
1	651	4453
2	4465	4196
done	5001	4196

prune584.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes162.0ms

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	8	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

821.0ms

12176×

body

valid