Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
4	26
3	21
2	15
1	8
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x y) 500.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

21.0ms

(* (- x y) 500.0)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* (- x y) 500.0)

simplify902.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	440
1	110
0	48

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (- x y) (sqrt 500.0))
0.4b	(* (* (- x y) (sqrt 500.0)) (sqrt 500.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

19.0ms	(* (- x y) (sqrt 500.0))
50.0ms	(* (* (- x y) (sqrt 500.0)) (sqrt 500.0))

series222.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (- x y) (sqrt 500.0))
139.0ms	(* (* (- x y) (sqrt 500.0)) (sqrt 500.0))

simplify711.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	1004
1	199
0	79

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y x) 500.0)
0.1b	(* (* (+ y x) 500.0) (- x y))
28.8b	(/ (* (* (+ y x) 500.0) (- x y)) (+ x y))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

17.0ms	(* (+ y x) 500.0)
41.0ms	(* (* (+ y x) 500.0) (- x y))
56.0ms	(/ (* (* (+ y x) 500.0) (- x y)) (+ x y))

series172.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (+ y x) 500.0)
80.0ms	(* (* (+ y x) 500.0) (- x y))
42.0ms	(/ (* (* (+ y x) 500.0) (- x y)) (+ x y))

simplify2.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	4423
1	469
0	149

prune377.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y x) (* 500.0 (- y)))
0.2b	(* (* x 500.0) (+ y x))
4.0b	(+ (* (* x 500.0) (+ y x)) (* (+ y x) (* 500.0 (- y))))
28.8b	(/ (+ (* (* x 500.0) (+ y x)) (* (+ y x) (* 500.0 (- y)))) (+ x y))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
16×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`pow1`
13×	`flip3-+` `flip-+`
12×	`times-frac`
10×	`associate-l/` `associate-r/` `distribute-rgt-neg-out`
8×	`frac-add`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp` `associate-/l/`
5×	`associate-r` `associate-l`
4×	`associate-/r*`
3×	`associate-/l*`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-sub` `unsub-neg` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 105

Calls

4 calls:

36.0ms	(* (+ y x) (* 500.0 (- y)))
21.0ms	(* (* x 500.0) (+ y x))
37.0ms	(+ (* (* x 500.0) (+ y x)) (* (+ y x) (* 500.0 (- y))))
124.0ms	(/ (+ (* (* x 500.0) (+ y x)) (* (+ y x) (* 500.0 (- y)))) (+ x y))

series267.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ y x) (* 500.0 (- y)))
49.0ms	(* (* x 500.0) (+ y x))
53.0ms	(+ (* (* x 500.0) (+ y x)) (* (+ y x) (* 500.0 (- y))))
87.0ms	(/ (+ (* (* x 500.0) (+ y x)) (* (+ y x) (* 500.0 (- y)))) (+ x y))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	4253
1	563
0	185

prune508.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample495.0ms

Algorithm

intervals

Results

234.0ms	8033×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid