Details

sample258.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify24.0ms

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	30	8
6	31	8
done	31	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

19.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify2.5s

Counts

98 → 98

Iterations

Useful iterations: 3 (383.0ms)

Iter	Nodes	Cost
0	133	1451
1	290	1378
2	686	1348
3	1897	1340
4	4698	1340
done	5000	1340

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ 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)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

301×	`*-un-lft-identity`
240×	`times-frac`
217×	`add-sqr-sqrt`
198×	`cbrt-prod`
119×	`add-cube-cbrt`
84×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
49×	`distribute-lft-out--` `difference-of-squares`
42×	`distribute-lft-out`
21×	`neg-mul-1`
12×	`associate-/l*`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip-+`

Counts

4 → 320

Calls

4 calls:

17.0ms	(/ (- (+ f n)) (- f n))
10.0ms	(cbrt (/ (- (+ f n)) (- f n)))
12.0ms	(cbrt (/ (- (+ f n)) (- f n)))
9.0ms	(cbrt (/ (- (+ f n)) (- f n)))

series746.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- (+ f n)) (- f n))
230.0ms	(cbrt (/ (- (+ f n)) (- f n)))
225.0ms	(cbrt (/ (- (+ f n)) (- f n)))
228.0ms	(cbrt (/ (- (+ f n)) (- f n)))

simplify1.1s

Counts

332 → 332

Iterations

Useful iterations: 3 (417.0ms)

Iter	Nodes	Cost
0	216	5792
1	383	5512
2	798	5422
3	2048	5384
done	5000	5384

prune724.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- (+ f n)) (- f n)))
0.0b	(cbrt (/ (- (+ f n)) (- f n)))
0.6b	(cbrt (- f n))
0.6b	(cbrt (- (+ f n)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
149×	`cbrt-prod`
120×	`times-frac`
114×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
44×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
25×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-lft-out`
11×	`neg-mul-1`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`div-inv` `distribute-neg-frac`
1×	`flip3-+` `flip-+`

Counts

4 → 187

Calls

4 calls:

9.0ms	(cbrt (/ (- (+ f n)) (- f n)))
9.0ms	(cbrt (/ (- (+ f n)) (- f n)))
2.0ms	(cbrt (- f n))
4.0ms	(cbrt (- (+ f n)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (/ (- (+ f n)) (- f n)))
231.0ms	(cbrt (/ (- (+ f n)) (- f n)))
151.0ms	(cbrt (- f n))
143.0ms	(cbrt (- (+ f n)))

simplify958.0ms

Counts

199 → 199

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	271	3348
1	468	3195
2	950	3137
3	2480	3097
done	5001	3096

prune549.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- f n)) (cbrt (- f n)))
0.6b	(cbrt (- f n))
0.6b	(cbrt (- f n))
0.6b	(cbrt (- f n))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

23.0ms	(* (cbrt (- f n)) (cbrt (- f n)))
2.0ms	(cbrt (- f n))
2.0ms	(cbrt (- f n))
2.0ms	(cbrt (- f n))

series574.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- f n)) (cbrt (- f n)))
151.0ms	(cbrt (- f n))
151.0ms	(cbrt (- f n))
148.0ms	(cbrt (- f n))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: 4 (983.0ms)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	631	1223
3	1589	1128
4	4526	1080
done	5000	1080

prune359.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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

sample297.0ms

Algorithm

intervals

Results

170.0ms

8000×

body

valid