Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

376×

body

valid

simplify65.0ms

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	58	9
done	58	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite14.0ms

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:

14.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify2.3s

Counts

15 → 15

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	35	220
1	100	213
2	342	185
3	1487	185
done	5000	185

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))
0.7b	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
26.6b	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

rewrite242.0ms

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:

11.0ms	(+ (* x x) (* (* y 4.0) z))
125.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
16.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
79.0ms	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* x x) (* (* y 4.0) z))
38.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
107.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
141.0ms	(/ (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)))

simplify1.3s

Counts

142 → 142

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	189	3127
1	488	2823
2	1913	2455
done	5000	2256

prune339.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ (* x x) (* (* y 4.0) z)))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
0.7b	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
27.0b	(* (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (/ 1 (+ (* x x) (* (* y 4.0) z))))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
67×	`pow-prod-down`
53×	`add-exp-log`
47×	`add-cbrt-cube`
31×	`add-sqr-sqrt` `prod-exp`
29×	`cbrt-unprod`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
16×	`associate-r`
9×	`pow-sqr` `pow-prod-up`
7×	`associate-l`
6×	`add-log-exp` `difference-of-squares`
4×	`div-exp` `associate-/r/`
3×	`flip3--` `pow-plus` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `unpow-prod-down` `rec-exp` `flip3-+` `1-exp` `associate-l/` `-commutative` `flip-+` `div-inv` `sqr-pow`
1×	`pow2` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `swap-sqr` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 153

Calls

4 calls:

24.0ms	(/ 1 (+ (* x x) (* (* y 4.0) z)))
151.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
16.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
128.0ms	(* (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (/ 1 (+ (* x x) (* (* y 4.0) z))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (+ (* x x) (* (* y 4.0) z)))
39.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
84.0ms	(- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z)))
128.0ms	(* (- (pow x 4) (* (* (* y 4.0) z) (* (* y 4.0) z))) (/ 1 (+ (* x x) (* (* y 4.0) z))))

simplify1.5s

Counts

165 → 165

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	201	3381
1	516	2939
2	1917	2449
done	5000	2160

prune403.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

535.0ms

12157×

body

valid