Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

345×

body

valid

simplify726.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	1616
4	483
3	175
2	65
1	21
0	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
0.3b	(/ (- 3.0 x) (* 3.0 y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

82.0ms	(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
29.0ms	(/ (- 3.0 x) (* 3.0 y))

series140.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
70.0ms	(/ (- 3.0 x) (* 3.0 y))

simplify1.0s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1898
1	381
0	136

prune309.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- 1 (/ x 3.0)) y)
0.1b	(* (/ (- 1 (/ x 3.0)) y) (- 1.0 x))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
63×	`times-frac`
58×	`*-un-lft-identity`
29×	`difference-of-squares`
28×	`associate-l` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*` `distribute-lft-out--`
5×	`associate-r`
4×	`pow1`
3×	`associate-/r*` `flip3--` `flip--`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 107

Calls

2 calls:

39.0ms	(/ (- 1 (/ x 3.0)) y)
90.0ms	(* (/ (- 1 (/ x 3.0)) y) (- 1.0 x))

series133.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- 1 (/ x 3.0)) y)
73.0ms	(* (/ (- 1 (/ x 3.0)) y) (- 1.0 x))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2106
1	493
0	189

prune511.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 3.0 x) y)
0.1b	(/ 1 (/ 3.0 (/ (- 3.0 x) y)))
0.1b	(* (/ 1 (/ 3.0 (/ (- 3.0 x) y))) (- 1.0 x))
0.1b	(/ 3.0 (/ (- 3.0 x) y))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

1230×	`times-frac`
709×	`add-sqr-sqrt`
689×	`*-un-lft-identity`
526×	`add-cube-cbrt`
191×	`associate-l`
84×	`associate-/r*`
80×	`distribute-lft-out--` `difference-of-squares`
64×	`add-exp-log`
36×	`div-inv`
34×	`add-cbrt-cube` `div-exp`
16×	`cbrt-undiv`
11×	`associate-/l*`
10×	`prod-exp` `associate-/r/`
7×	`pow1` `unswap-sqr`
6×	`rec-exp` `1-exp`
5×	`associate-r`
4×	`cbrt-unprod` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `associate-/l/`
1×	`div-sub` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 643

Calls

4 calls:

17.0ms	(/ (- 3.0 x) y)
32.0ms	(/ 1 (/ 3.0 (/ (- 3.0 x) y)))
149.0ms	(* (/ 1 (/ 3.0 (/ (- 3.0 x) y))) (- 1.0 x))
12.0ms	(/ 3.0 (/ (- 3.0 x) y))

series262.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- 3.0 x) y)
77.0ms	(/ 1 (/ 3.0 (/ (- 3.0 x) y)))
75.0ms	(* (/ 1 (/ 3.0 (/ (- 3.0 x) y))) (- 1.0 x))
48.0ms	(/ 3.0 (/ (- 3.0 x) y))

simplify1.5s

Counts

655 → 655

Iterations

Iter	Nodes
done	5002
1	2419
0	772

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 3.0 (- 3.0 x)) y)
0.1b	(* (/ 3.0 (- 3.0 x)) y)
0.1b	(/ 1.0 (* (/ 3.0 (- 3.0 x)) y))
0.1b	(/ (- x) (* (/ 3.0 (- 3.0 x)) y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
45×	`times-frac`
44×	`*-un-lft-identity`
42×	`associate-l`
32×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
13×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
8×	`pow1` `prod-exp` `cbrt-unprod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
4×	`associate-*l/` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `associate-/r` `neg-mul-1` `frac-2neg` `flip3--` `pow-prod-down` `-commutative` `flip--`
1×	`neg-sub0` `div-sub` `distribute-frac-neg`

Counts

4 → 144

Calls

4 calls:

49.0ms	(* (/ 3.0 (- 3.0 x)) y)
36.0ms	(* (/ 3.0 (- 3.0 x)) y)
13.0ms	(/ 1.0 (* (/ 3.0 (- 3.0 x)) y))
18.0ms	(/ (- x) (* (/ 3.0 (- 3.0 x)) y))

series239.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (/ 3.0 (- 3.0 x)) y)
45.0ms	(* (/ 3.0 (- 3.0 x)) y)
71.0ms	(/ 1.0 (* (/ 3.0 (- 3.0 x)) y))
76.0ms	(/ (- x) (* (/ 3.0 (- 3.0 x)) y))

simplify1.3s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	2850
1	524
0	207

prune698.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

645.0ms

10596×

body

valid