Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	36	17
2	157	17
3	693	17
4	3632	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
16.4b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite283.0ms

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:

40.0ms	(* (+ x y) (+ x y))
149.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
79.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series689.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
68.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
603.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify699.0ms

Counts

155 → 155

Iterations

Useful iterations: done (694.0ms)

Iter	Nodes	Cost
0	224	3413
1	1001	3179
done	5000	2878

prune586.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.2b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.2b	(/ x (* (+ x y) (+ x y)))

rewrite376.0ms

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:

46.0ms	(/ y (+ (+ x y) 1.0))
52.0ms	(* (+ x y) (+ x y))
234.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
32.0ms	(/ x (* (+ x y) (+ x y)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ y (+ (+ x y) 1.0))
22.0ms	(* (+ x y) (+ x y))
247.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
101.0ms	(/ x (* (+ x y) (+ x y)))

simplify605.0ms

Counts

190 → 190

Iterations

Useful iterations: done (598.0ms)

Iter	Nodes	Cost
0	225	2961
1	753	2732
done	5000	2427

prune625.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x y))
0.0b	(/ x (+ x y))
0.0b	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
90×	`*-un-lft-identity`
67×	`times-frac`
61×	`add-cbrt-cube`
59×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
40×	`prod-exp`
36×	`associate-l`
33×	`div-exp`
23×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
12×	`pow1`
10×	`associate-/r/`
8×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `associate-r/` `associate-/l`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 207

Calls

4 calls:

17.0ms	(/ 1 (+ x y))
12.0ms	(/ x (+ x y))
135.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
212.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ 1 (+ x y))
56.0ms	(/ x (+ x y))
182.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
235.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify568.0ms

Counts

219 → 219

Iterations

Useful iterations: done (559.0ms)

Iter	Nodes	Cost
0	263	3647
1	872	3330
done	5000	2818

prune705.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (/ x (+ y x)) y) (+ y x))
0.0b	(/ x (+ y x))
0.1b	(/ (/ (* (/ x (+ y x)) y) (+ y x)) (+ (+ x y) 1.0))
4.8b	(* (/ x (+ y x)) y)

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
103×	`times-frac`
52×	`add-sqr-sqrt`
48×	`distribute-lft-out`
47×	`add-cube-cbrt`
34×	`add-exp-log` `add-cbrt-cube`
20×	`associate-/r/`
18×	`associate-l`
14×	`cbrt-undiv` `div-exp` `associate-/l*`
13×	`associate-/r*`
10×	`flip3-+` `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`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 192

Calls

4 calls:

38.0ms	(/ (* (/ x (+ y x)) y) (+ y x))
14.0ms	(/ x (+ y x))
106.0ms	(/ (/ (* (/ x (+ y x)) y) (+ y x)) (+ (+ x y) 1.0))
32.0ms	(* (/ x (+ y x)) y)

series494.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (* (/ x (+ y x)) y) (+ y x))
49.0ms	(/ x (+ y x))
250.0ms	(/ (/ (* (/ x (+ y x)) y) (+ y x)) (+ (+ x y) 1.0))
77.0ms	(* (/ x (+ y x)) y)

simplify3.2s

Counts

204 → 204

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	243	3578
1	679	3403
2	4278	3136
done	5000	3130

prune713.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	11	17
done	11	17

end0.0ms

sample939.0ms

Algorithm

intervals

Results

631.0ms

8000×

body

valid