Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify118.0ms

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)))

rewrite28.0ms

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` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

25.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.1s

Counts

63 → 63

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	114	1010
1	283	965
2	715	923
3	2025	921
done	5000	919

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))))

rewrite188.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 344

Calls

4 calls:

118.0ms	(* (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))))
14.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
184.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
183.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
190.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify2.4s

Counts

356 → 356

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	271	9492
1	517	8754
2	1342	8555
3	3817	7966
done	5001	7960

prune786.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))

rewrite90.0ms

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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `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 → 244

Calls

3 calls:

21.0ms	(/ (- x y) (- 2.0 (+ x y)))
28.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
26.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series199.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- x y) (- 2.0 (+ x y)))
90.0ms	(pow (/ (- x y) (- 2.0 (+ x y))) 3)
58.0ms	(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify948.0ms

Counts

253 → 253

Iterations

Useful iterations: done (938.0ms)

Iter	Nodes	Cost
0	252	5383
1	730	4567
2	2276	4278
done	5000	4272

prune395.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample299.0ms

Algorithm

intervals

Results

169.0ms

8000×

body

valid