Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	3221
3	647
2	153
1	36
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize28.0ms

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)))

rewrite267.0ms

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×	`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 → 140

Calls

3 calls:

47.0ms	(* (+ x y) (+ x y))
141.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
73.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series339.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
79.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
242.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.2s

Counts

149 → 149

Iterations

Iter	Nodes
done	5002
1	980
0	218

prune788.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize16.0ms

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)))

rewrite282.0ms

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×	`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 → 170

Calls

4 calls:

52.0ms	(/ y (+ (+ x y) 1.0))
32.0ms	(* (+ x y) (+ x y))
173.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
13.0ms	(/ x (* (+ x y) (+ x y)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ y (+ (+ x y) 1.0))
29.0ms	(* (+ x y) (+ x y))
254.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
91.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.0s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
1	733
0	217

prune856.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

295×	`*-un-lft-identity`
291×	`times-frac`
153×	`add-sqr-sqrt`
132×	`add-cube-cbrt`
85×	`distribute-lft-out`
78×	`associate-l`
31×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r/`
21×	`associate-r` `associate-/l*`
13×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
9×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow1`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

3 → 277

Calls

3 calls:

45.0ms	(/ y (+ (+ x y) 1.0))
25.0ms	(/ (/ x (+ x y)) (+ x y))
181.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series503.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ y (+ (+ x y) 1.0))
152.0ms	(/ (/ x (+ x y)) (+ x y))
268.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.2s

Counts

286 → 286

Iterations

Iter	Nodes
done	5000
1	1031
0	324

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ x y) 1.0))
0.4b	(cbrt (+ (+ x y) 1.0))
0.4b	(cbrt (+ (+ x y) 1.0))
0.4b	(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

14.0ms	(cbrt (+ (+ x y) 1.0))
13.0ms	(cbrt (+ (+ x y) 1.0))
23.0ms	(cbrt (+ (+ x y) 1.0))
171.0ms	(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

series943.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (+ (+ x y) 1.0))
168.0ms	(cbrt (+ (+ x y) 1.0))
439.0ms	(cbrt (+ (+ x y) 1.0))
137.0ms	(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1145
1	316
0	130

prune607.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample704.0ms

Algorithm

intervals

Results

506.0ms

8000×

body

valid