Details

sample270.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	8
1	13	8
2	16	8
3	20	8
4	26	8
5	31	8
6	32	8
done	32	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out` `associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/` `distribute-neg-frac`
1×	`pow1` `cbrt-undiv` `neg-sub0` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 97

Calls

1 calls:

18.0ms

(/ (- (+ f n)) (- f n))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(/ (- (+ f n)) (- f n))

simplify1.3s

Counts

100 → 100

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	135	1469
1	298	1395
2	887	1365
3	2894	1357
done	5001	1357

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))
0.0b	(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b	(pow (/ (- (+ f n)) (- f n)) 3)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

374×	`*-un-lft-identity`
300×	`times-frac`
270×	`add-sqr-sqrt`
148×	`add-cube-cbrt`
138×	`cbrt-prod`
132×	`unpow-prod-down` `cube-prod`
104×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
61×	`distribute-lft-out--` `difference-of-squares`
52×	`distribute-lft-out`
26×	`neg-mul-1`
12×	`associate-/l*`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `distribute-frac-neg` `div-exp` `pow-exp` `associate-/l/` `distribute-neg-frac` `rem-cube-cbrt` `sqr-pow`
1×	`neg-sub0` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `div-sub` `cube-neg` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 402

Calls

3 calls:

17.0ms	(/ (- (+ f n)) (- f n))
28.0ms	(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
21.0ms	(pow (/ (- (+ f n)) (- f n)) 3)

series251.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (- (+ f n)) (- f n))
110.0ms	(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
78.0ms	(pow (/ (- (+ f n)) (- f n)) 3)

simplify1.6s

Counts

411 → 411

Iterations

Useful iterations: 2 (363.0ms)

Iter	Nodes	Cost
0	324	8171
1	982	6872
2	4019	6311
done	5000	6311

prune443.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- (+ f n)) (- f n)))
0.0b	(cbrt (/ (- (+ f n)) (- f n)))
0.0b	(cbrt (/ (- (+ f n)) (- f n)))
0.0b	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

862×	`*-un-lft-identity`
634×	`cbrt-prod`
586×	`times-frac`
456×	`add-sqr-sqrt`
232×	`add-cube-cbrt`
212×	`distribute-rgt-neg-in`
184×	`distribute-lft-neg-in`
149×	`swap-sqr`
140×	`distribute-lft-out--`
120×	`distribute-lft-out`
100×	`difference-of-squares`
69×	`associate-r` `associate-l`
39×	`neg-mul-1`
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 → 550

Calls

4 calls:

9.0ms	(cbrt (/ (- (+ f n)) (- f n)))
9.0ms	(cbrt (/ (- (+ f n)) (- f n)))
9.0ms	(cbrt (/ (- (+ f n)) (- f n)))
139.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))

series874.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (/ (- (+ f n)) (- f n)))
230.0ms	(cbrt (/ (- (+ f n)) (- f n)))
235.0ms	(cbrt (/ (- (+ f n)) (- f n)))
183.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))

simplify847.0ms

Counts

562 → 562

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	366	13569
1	567	12729
2	2097	12468
done	5000	12468

prune1.0s

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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8
done	13	8

end0.0ms

sample274.0ms

Algorithm

intervals

Results

160.0ms

8000×

body

valid