Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify648.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	17
1	36	17
2	135	17
3	452	17
4	1499	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.6b	(/ (* 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)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
42.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
156.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify302.0ms

Counts

155 → 155

Iterations

Useful iterations: done (297.0ms)

Iter	Nodes	Cost
0	224	3413
1	830	3113
done	5000	2858

prune302.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.0b

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)))
19.9b	(/ x (* (+ x y) (+ x y)))

rewrite125.0ms

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))
20.0ms	(/ y (+ (+ x y) 1.0))
74.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (+ x y) (+ x y))
45.0ms	(/ y (+ (+ x y) 1.0))
156.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
66.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.2s

Counts

190 → 190

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	225	2961
1	679	2680
2	3465	2397
done	5001	2397

prune330.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
99×	`add-exp-log`
70×	`times-frac`
61×	`add-cbrt-cube`
60×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
40×	`prod-exp`
36×	`associate-l`
33×	`div-exp`
31×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
12×	`pow1`
10×	`associate-/r/`
9×	`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 → 211

Calls

4 calls:

6.0ms	(/ 1 (+ x y))
18.0ms	(/ y (+ (+ x y) 1.0))
59.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
63.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (+ x y))
44.0ms	(/ y (+ (+ x y) 1.0))
123.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
157.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.7s

Counts

223 → 223

Iterations

Useful iterations: 2 (297.0ms)

Iter	Nodes	Cost
0	267	3799
1	819	3398
2	3695	2868
done	5000	2868

prune370.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ y x)))
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))) (+ y x))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
36×	`add-exp-log` `add-cbrt-cube`
33×	`add-cube-cbrt`
26×	`distribute-lft-out`
21×	`associate-r`
18×	`associate-l`
14×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
8×	`prod-exp` `associate-/r/` `cbrt-unprod`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`associate-/l/`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`log1p-udef` `log1p-expm1` `pow-prod-down` `*-commutative`

Counts

4 → 151

Calls

4 calls:

0.0ms	(log1p (/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ y x)))
18.0ms	(/ y (+ (+ x y) 1.0))
59.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
21.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ y x))

series403.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(log1p (/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ y x)))
44.0ms	(/ y (+ (+ x y) 1.0))
123.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
156.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ y x))

simplify1.2s

Counts

163 → 163

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	226	2777
1	671	2609
2	3307	2271
done	5000	2271

prune370.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes53.0ms

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	12	19
1	14	19
done	14	19

end0.0ms

sample335.0ms

Algorithm

intervals

Results

214.0ms

8000×

body

valid