Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify112.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	40	9
4	50	9
5	66	9
6	83	9
7	94	9
8	101	9
9	109	9
10	114	9
11	116	9
12	120	9
done	120	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

20.0ms

(/ (- x y) (- 2.0 (+ x y)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify954.0ms

Counts

61 → 61

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	112	990
1	275	951
2	681	905
3	1882	903
done	5001	901

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b	(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b	(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b	(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

651×	`*-un-lft-identity`
372×	`cbrt-prod`
324×	`times-frac`
318×	`add-sqr-sqrt`
212×	`distribute-lft-out--`
108×	`add-cube-cbrt`
93×	`swap-sqr` `difference-of-squares`
67×	`distribute-lft-out`
39×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 336

Calls

4 calls:

114.0ms	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
11.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
11.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
13.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
158.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
156.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
161.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify2.1s

Counts

348 → 348

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	267	9382
1	503	8671
2	1283	8465
3	3576	7894
done	5000	7876

prune656.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.1b	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
6.5b	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

258×	`*-un-lft-identity`
180×	`add-sqr-sqrt`
150×	`times-frac`
83×	`distribute-lft-out--`
78×	`cbrt-prod`
72×	`unpow-prod-down` `cube-prod`
66×	`add-cube-cbrt`
57×	`difference-of-squares`
26×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `associate-/r*` `flip--`
5×	`div-inv` `associate-/l*`
4×	`pow1`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube`

Counts

3 → 238

Calls

3 calls:

20.0ms	(/ (- x y) (- 2.0 (+ x y)))
25.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
25.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series176.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- x y) (- 2.0 (+ x y)))
79.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
51.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify821.0ms

Counts

247 → 247

Iterations

Useful iterations: done (812.0ms)

Iter	Nodes	Cost
0	246	5313
1	713	4523
2	2211	4222
done	5001	4216

prune325.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample490.0ms

Algorithm

intervals

Results

365.0ms

8000×

body

valid