Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

290×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	3231
12	2411
11	1715
10	1170
9	817
8	428
7	225
6	115
5	60
4	44
3	37
2	25
1	11
0	5

prune4.0ms

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))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`add-sqr-sqrt` `pow1` `sum-log` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 15

Calls

1 calls:

31.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify1.9s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
3	1223
2	302
1	89
0	33

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x y) (* x y))
0.0b	(sqrt (- (+ x y) (* x y)))
0.0b	(sqrt (- (+ x y) (* x y)))
0.3b	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--` `add-log-exp`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `diff-log` `associate-l/` `associate-r/`
1×	`pow2` `sum-log` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

37.0ms	(- (+ x y) (* x y))
29.0ms	(sqrt (- (+ x y) (* x y)))
31.0ms	(sqrt (- (+ x y) (* x y)))
115.0ms	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (+ x y) (* x y))
72.0ms	(sqrt (- (+ x y) (* x y)))
84.0ms	(sqrt (- (+ x y) (* x y)))
85.0ms	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

simplify1.9s

Counts

117 → 117

Iterations

Iter	Nodes
done	5003
3	2893
2	775
1	275
0	121

prune456.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
0.6b	(cbrt (- (+ x y) (* x y)))
0.6b	(cbrt (- (+ x y) (* x y)))
0.6b	(cbrt (- (+ x y) (* x y)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

131.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
15.0ms	(cbrt (- (+ x y) (* x y)))
23.0ms	(cbrt (- (+ x y) (* x y)))
18.0ms	(cbrt (- (+ x y) (* x y)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
120.0ms	(cbrt (- (+ x y) (* x y)))
131.0ms	(cbrt (- (+ x y) (* x y)))
109.0ms	(cbrt (- (+ x y) (* x y)))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	4125
2	1146
1	403
0	152

prune553.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
3.6b	(+ (* (+ y x) (+ (+ y x) (* x y))) (* (* x y) (* x y)))
7.2b	(- (* (* (+ y x) (+ y x)) (+ y x)) (* (* x y) (* (* x y) (* x y))))
38.6b	(/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* x y) (* (* x y) (* x y)))) (+ (* (+ y x) (+ (+ y x) (* x y))) (* (* x y) (* x y))))

rewrite674.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`difference-cubes` `cube-unmult` `pow3`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*`
3×	`associate-/r*`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `pow-plus` `flip3--` `associate--l+` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 102

Calls

4 calls:

22.0ms	(* (* x y) (* x y))
46.0ms	(+ (* (+ y x) (+ (+ y x) (* x y))) (* (* x y) (* x y)))
164.0ms	(- (* (* (+ y x) (+ y x)) (+ y x)) (* (* x y) (* (* x y) (* x y))))
438.0ms	(/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* x y) (* (* x y) (* x y)))) (+ (* (+ y x) (+ (+ y x) (* x y))) (* (* x y) (* x y))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x y) (* x y))
52.0ms	(+ (* (+ y x) (+ (+ y x) (* x y))) (* (* x y) (* x y)))
117.0ms	(- (* (* (+ y x) (+ y x)) (+ y x)) (* (* x y) (* (* x y) (* x y))))
166.0ms	(/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* x y) (* (* x y) (* x y)))) (+ (* (+ y x) (+ (+ y x) (* x y))) (* (* x y) (* x y))))

simplify2.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5007
2	2101
1	486
0	166

prune478.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample565.0ms

Algorithm

intervals

Results

378.0ms	9158×	body	80	valid
0.0ms	2×	body	1280	valid