Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

301×

body

valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	25	7
3	38	7
4	49	7
5	71	7
6	273	7
7	919	7
8	4694	7
done	5000	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

67.0ms

(- (+ x y) (* x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- (+ x y) (* x y))

simplify1.4s

Counts

17 → 17

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	32	189
1	88	182
2	314	168
3	1416	168
done	5001	168

prune73.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (* x y))
0.2b	(* (* x y) (* x y))
7.9b	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
28.6b	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
5×	`difference-of-squares`
4×	`pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*` `sum-log`
2×	`flip3--` `flip3-+` `pow-plus` `associate--l+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `distribute-rgt-in` `sub-neg` `associate-+l+` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

59.0ms	(+ (+ x y) (* x y))
49.0ms	(* (* x y) (* x y))
55.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
150.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ x y) (* x y))
56.0ms	(* (* x y) (* x y))
73.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
110.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

simplify3.0s

Counts

110 → 110

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	140	2172
1	404	1997
2	2556	1771
done	5001	1609

prune527.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x y) (* x y)))
0.2b	(* (/ (+ (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y)))) (/ (- (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y)))))
0.2b	(/ (- (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y))))
0.2b	(/ (+ (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
84×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
51×	`sqrt-prod`
24×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
10×	`pow1` `sqrt-div`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `pow-div`
1×	`frac-times` `rem-sqrt-square` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

4 → 181

Calls

4 calls:

65.0ms	(sqrt (+ (+ x y) (* x y)))
569.0ms	(* (/ (+ (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y)))) (/ (- (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y)))))
201.0ms	(/ (- (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y))))
216.0ms	(/ (+ (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(sqrt (+ (+ x y) (* x y)))
35.0ms	(* (/ (+ (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y)))) (/ (- (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y)))))
258.0ms	(/ (- (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y))))
102.0ms	(/ (+ (+ x y) (* x y)) (sqrt (+ (+ x y) (* x y))))

simplify633.0ms

Counts

193 → 193

Iterations

Useful iterations: done (620.0ms)

Iter	Nodes	Cost
0	225	6102
1	700	5718
done	5000	5302

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes174.0ms

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	5	7
1	7	7
done	7	7

end0.0ms

sample858.0ms

Algorithm

intervals

Results

430.0ms	9183×	body	80	valid
0.0ms	1×	body	1280	valid