Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

44.0ms

(/ (+ x 1.0) (- 1.0 x))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify631.0ms

Counts

48 → 48

Iterations

Useful iterations: done (628.0ms)

Iter	Nodes	Cost
0	91	630
1	211	607
2	834	569
done	5000	562

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`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 → 244

Calls

4 calls:

14.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
19.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
15.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
142.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

series771.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
158.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
183.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
242.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

simplify1.3s

Counts

256 → 256

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	223	5634
1	425	5239
2	1794	5081
done	5001	4861

prune970.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(* (pow (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) 1/3) (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

309×	`*-un-lft-identity`
191×	`times-frac`
178×	`add-sqr-sqrt`
85×	`add-cube-cbrt`
58×	`cbrt-prod`
55×	`associate-r`
54×	`distribute-lft-out`
48×	`swap-sqr`
45×	`distribute-lft-out--`
39×	`add-exp-log`
33×	`difference-of-squares`
31×	`associate-l`
19×	`add-cbrt-cube`
15×	`prod-exp`
14×	`associate-/r/`
13×	`unswap-sqr`
11×	`pow1`
9×	`div-exp`
7×	`flip3--` `flip--` `div-inv`
6×	`cbrt-unprod`
5×	`cbrt-undiv` `pow-exp` `associate-/r*`
4×	`unpow-prod-down` `associate-/l*` `add-log-exp` `sqr-pow`
2×	`cbrt-div` `pow1/3` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/`
1×	`pow2` `frac-times` `pow-to-exp` `frac-2neg` `flip3-+` `pow-plus` `unpow1/3` `associate-*l/` `clear-num` `pow-sqr` `pow-prod-up` `flip-+`

Counts

4 → 270

Calls

4 calls:

43.0ms	(/ (+ x 1.0) (- 1.0 x))
79.0ms	(* (pow (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) 1/3) (cbrt (/ (+ x 1.0) (- 1.0 x))))
16.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
168.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (+ x 1.0) (- 1.0 x))
42.0ms	(* (pow (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) 1/3) (cbrt (/ (+ x 1.0) (- 1.0 x))))
209.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
95.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

simplify544.0ms

Counts

282 → 282

Iterations

Useful iterations: done (532.0ms)

Iter	Nodes	Cost
0	314	6383
1	923	5857
done	5001	5417

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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	5	7
1	6	7
done	6	7

end0.0ms

sample425.0ms

Algorithm

intervals

Results

252.0ms

8000×

body

valid