Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	17
1	36	17
2	134	17
3	444	17
4	1436	17
done	5002	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
22.1b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite120.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 146

Calls

3 calls:

17.0ms	(* (+ x y) (+ x y))
62.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
34.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (+ x y) (+ x y))
47.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
172.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.7s

Counts

155 → 155

Iterations

Useful iterations: 2 (557.0ms)

Iter	Nodes	Cost
0	224	3413
1	817	3113
2	4571	2834
done	5000	2834

prune347.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 10.0b

localize8.0ms

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)))
21.8b	(/ x (* (+ x y) (+ x y)))

rewrite121.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 178

Calls

4 calls:

17.0ms	(* (+ x y) (+ x y))
18.0ms	(/ y (+ (+ x y) 1.0))
72.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
51.0ms	(/ y (+ (+ x y) 1.0))
171.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
70.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.3s

Counts

190 → 190

Iterations

Useful iterations: 2 (574.0ms)

Iter	Nodes	Cost
0	225	2961
1	664	2680
2	2834	2397
done	5000	2397

prune437.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 318

Calls

4 calls:

18.0ms	(/ y (+ (+ x y) 1.0))
6.0ms	(/ x (+ x y))
16.0ms	(/ (/ x (+ x y)) (+ x y))
103.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ y (+ (+ x y) 1.0))
51.0ms	(/ x (+ x y))
76.0ms	(/ (/ x (+ x y)) (+ x y))
195.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.6s

Counts

330 → 330

Iterations

Useful iterations: 2 (729.0ms)

Iter	Nodes	Cost
0	337	5725
1	995	5401
2	3259	5031
done	5000	5031

prune733.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
6.2b	(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity` `times-frac`
135×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
78×	`associate-l`
74×	`distribute-lft-out`
34×	`add-exp-log` `add-cbrt-cube`
26×	`associate-/r/`
22×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
13×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num` `unswap-sqr`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 284

Calls

4 calls:

5.0ms	(/ x (+ x y))
15.0ms	(/ (/ x (+ x y)) (+ x y))
30.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
47.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

series419.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ x (+ x y))
76.0ms	(/ (/ x (+ x y)) (+ x y))
192.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
96.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

simplify1.6s

Counts

296 → 296

Iterations

Useful iterations: 2 (722.0ms)

Iter	Nodes	Cost
0	308	4664
1	810	4378
2	2765	4036
done	5000	4036

prune573.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes65.0ms

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	11	17
done	11	17

end0.0ms

sample359.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid