Details

sample19.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	18	7
done	18	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

7.0ms

(- (* x y) (* z t))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(- (* x y) (* z t))

simplify1.5s

Counts

15 → 15

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	32	168
1	92	163
2	273	149
3	789	149
4	1794	149
done	5000	149

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x y) 3)
2.0b	(- (pow (* x y) 3) (pow (* z t) 3))
3.6b	(* (* t z) (+ (* x y) (* z t)))
36.6b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`times-frac`
21×	`sqr-pow`
20×	`add-cube-cbrt` `difference-of-squares`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow-unpow` `associate-r` `associate-/r*`
2×	`flip3--` `pow-pow` `flip3-+` `associate-*r/` `pow-exp` `associate-/r/` `flip--` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `cube-prod` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 118

Calls

4 calls:

6.0ms	(pow (* x y) 3)
15.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
28.0ms	(* (* t z) (+ (* x y) (* z t)))
74.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow (* x y) 3)
212.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
62.0ms	(* (* t z) (+ (* x y) (* z t)))
149.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

simplify1.4s

Counts

130 → 130

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	214	3938
1	567	3699
2	2716	3330
done	5001	3326

prune411.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (+ (* x y) (* z t)) (* t z))
36.6b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))
36.6b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))
36.6b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
81×	`times-frac`
71×	`*-un-lft-identity`
48×	`difference-of-squares` `sqr-pow`
47×	`add-cube-cbrt`
27×	`associate-/l*`
15×	`add-exp-log` `add-cbrt-cube`
12×	`difference-cubes` `distribute-lft-out--`
9×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l/`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `associate-l` `pow-prod-down` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv`
2×	`associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 188

Calls

4 calls:

32.0ms	(* (+ (* x y) (* z t)) (* t z))
70.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))
70.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))
72.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (+ (* x y) (* z t)) (* t z))
160.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))
153.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))
158.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (+ (* x y) (* z t)) (* t z)) (pow (* y x) 2)))

simplify967.0ms

Counts

200 → 200

Iterations

Useful iterations: 2 (270.0ms)

Iter	Nodes	Cost
0	177	8748
1	469	8376
2	1939	7975
done	5001	7975

prune974.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes121.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample537.0ms

Algorithm

intervals

Results

203.0ms

10425×

body

valid