Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

319×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	53	9
5	64	9
6	75	9
7	96	9
8	136	9
9	377	9
10	1759	9
done	5001	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(* (- 1.0 x) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

15.0ms	(+ (* (- 1.0 x) y) (* x z))
21.0ms	(* (- 1.0 x) y)

series76.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (- 1.0 x) y) (* x z))
37.0ms	(* (- 1.0 x) y)

simplify527.0ms

Counts

39 → 39

Iterations

Useful iterations: done (526.0ms)

Iter	Nodes	Cost
0	71	405
1	189	375
2	738	347
done	5000	345

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
0.0b	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
1.4b	(* (- (pow 1.0 3) (pow x 3)) y)
13.9b	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

15.0ms	(+ (* x x) (* 1.0 x))
140.0ms	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
110.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
77.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* x x) (* 1.0 x))
153.0ms	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
72.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
132.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	177	1962
1	542	1712
2	3194	1536
done	5000	1530

prune491.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b	(* (* x z) (* x z))
3.4b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
27.6b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

93.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
39.0ms	(* (* x z) (* x z))
115.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
247.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
55.0ms	(* (* x z) (* x z))
139.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
194.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify2.0s

Counts

137 → 137

Iterations

Useful iterations: 2 (572.0ms)

Iter	Nodes	Cost
0	189	3064
1	574	2682
2	3387	2140
done	5000	2140

prune442.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes194.0ms

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	11	9
done	11	9

end0.0ms

sample938.0ms

Algorithm

intervals

Results

460.0ms

10018×

body

valid