Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

344×

body

valid

simplify1.4s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:

25.0ms	(+ (* (- 1.0 x) y) (* x z))
33.0ms	(* (- 1.0 x) y)

series74.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* (- 1.0 x) y) (* x z))
33.0ms	(* (- 1.0 x) y)

simplify641.0ms

Counts

39 → 39

Iterations

Useful iterations: done (640.0ms)

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

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
3.8b	(* (- (* 1.0 1.0) (* x x)) y)
5.5b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

47.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
40.0ms	(* (- (* 1.0 1.0) (* x x)) y)
27.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series190.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
46.0ms	(* (- (* 1.0 1.0) (* x x)) y)
63.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	122	1163
1	380	1092
2	2286	958
done	5001	958

prune216.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.2b	(* (* x z) (* x z))
2.1b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
26.1b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite535.0ms

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:

98.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
38.0ms	(* (* x z) (* x z))
128.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
266.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
48.0ms	(* (* x z) (* x z))
155.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
208.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify2.1s

Counts

137 → 137

Iterations

Useful iterations: 2 (561.0ms)

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

prune326.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x z) x)
2.1b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* z (* (* x z) x)))
4.5b	(* z (* (* x z) x))
26.1b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* z (* (* x z) x))) (- (* (- 1.0 x) y) (* x z)))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 83

Calls

4 calls:

20.0ms	(* (* x z) x)
135.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* z (* (* x z) x)))
64.0ms	(* z (* (* x z) x))
228.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* z (* (* x z) x))) (- (* (- 1.0 x) y) (* x z)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x z) x)
158.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* z (* (* x z) x)))
45.0ms	(* z (* (* x z) x))
204.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* z (* (* x z) x))) (- (* (- 1.0 x) y) (* x z)))

simplify1.9s

Counts

95 → 95

Iterations

Useful iterations: 2 (411.0ms)

Iter	Nodes	Cost
0	153	2330
1	447	2231
2	2806	1987
done	5000	1987

prune267.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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	11	9
done	11	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

460.0ms

10160×

body

valid