Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3563
3	688
2	157
1	36
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.9b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-cbrt-cube` `add-exp-log`
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` `clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 146

Calls

3 calls:

38.0ms	(* (+ x y) (+ x y))
143.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
88.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series330.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* (+ x y) (+ x y))
76.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
232.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.2s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
1	1001
0	224

prune875.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.6b	(/ x (* (+ x y) (+ x y)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-cbrt-cube` `add-exp-log`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`frac-times` `pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l/` `associate-r/`
6×	`associate-/r` `swap-sqr` `associate-/l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 178

Calls

4 calls:

38.0ms	(/ y (+ (+ x y) 1.0))
32.0ms	(* (+ x y) (+ x y))
153.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
13.0ms	(/ x (* (+ x y) (+ x y)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ y (+ (+ x y) 1.0))
19.0ms	(* (+ x y) (+ x y))
174.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
107.0ms	(/ x (* (+ x y) (+ x y)))

simplify753.0ms

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
1	753
0	225

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))
0.1b	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite350.0ms

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×	`clear-num` `frac-2neg` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 211

Calls

4 calls:

14.0ms	(/ 1 (+ x y))
57.0ms	(/ y (+ (+ x y) 1.0))
143.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
127.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (+ x y))
78.0ms	(/ y (+ (+ x y) 1.0))
180.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
181.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.0s

Counts

223 → 223

Iterations

Iter	Nodes
done	5001
1	870
0	267

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0))
0.1b	(/ (/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0)) (+ x y))
4.5b	(* (/ x (+ x y)) y)

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
87×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `distribute-lft-out`
31×	`add-cbrt-cube` `add-exp-log`
18×	`associate-l`
16×	`associate-/r/`
13×	`cbrt-undiv` `div-exp`
12×	`associate-/l*`
9×	`associate-/r*`
8×	`flip3-+` `flip-+` `div-inv`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 153

Calls

3 calls:

73.0ms	(/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0))
88.0ms	(/ (/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0)) (+ x y))
40.0ms	(* (/ x (+ x y)) y)

series570.0ms

Counts

3 → 9

Calls

3 calls:

220.0ms	(/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0))
291.0ms	(/ (/ (* (/ x (+ x y)) y) (+ (+ x y) 1.0)) (+ x y))
59.0ms	(* (/ x (+ x y)) y)

simplify3.2s

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
2	4207
1	644
0	226

prune808.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample731.0ms

Algorithm

intervals

Results

537.0ms

8000×

body

valid