Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	36	17
2	153	17
3	657	17
4	3198	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.4b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

36.0ms	(* (+ x y) (+ x y))
128.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
97.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (+ x y) (+ x y))
56.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
220.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify498.0ms

Counts

149 → 149

Iterations

Useful iterations: done (491.0ms)

Iter	Nodes	Cost
0	218	3333
1	980	3129
done	5002	2845

prune445.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.4b	(/ x (* (+ x y) (+ x y)))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

60.0ms	(* (+ x y) (+ x y))
40.0ms	(/ y (+ (+ x y) 1.0))
230.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
33.0ms	(/ x (* (+ x y) (+ x y)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
61.0ms	(/ y (+ (+ x y) 1.0))
250.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
107.0ms	(/ x (* (+ x y) (+ x y)))

simplify469.0ms

Counts

182 → 182

Iterations

Useful iterations: done (461.0ms)

Iter	Nodes	Cost
0	217	2873
1	733	2654
done	5001	2353

prune494.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

17.0ms	(/ x (+ x y))
46.0ms	(/ y (+ (+ x y) 1.0))
31.0ms	(/ (/ x (+ x y)) (+ x y))
237.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x (+ x y))
58.0ms	(/ y (+ (+ x y) 1.0))
68.0ms	(/ (/ x (+ x y)) (+ x y))
185.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify501.0ms

Counts

322 → 322

Iterations

Useful iterations: done (488.0ms)

Iter	Nodes	Cost
0	329	5641
1	1035	5331
done	5001	4984

prune959.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.1b	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
62×	`times-frac`
54×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
38×	`add-exp-log` `add-cbrt-cube`
30×	`distribute-lft-out`
21×	`associate-r`
18×	`associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
10×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 167

Calls

4 calls:

13.0ms	(/ x (+ x y))
67.0ms	(/ y (+ (+ x y) 1.0))
145.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
59.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series625.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ x (+ x y))
90.0ms	(/ y (+ (+ x y) 1.0))
188.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
299.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify3.1s

Counts

179 → 179

Iterations

Useful iterations: 2 (813.0ms)

Iter	Nodes	Cost
0	214	2757
1	667	2572
2	4761	2300
done	5001	2300

prune521.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	12	17
done	12	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

931.0ms

8000×

body

valid