Details

sample55.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	13	8
2	16	8
3	20	8
4	26	8
5	29	8
6	31	8
done	31	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite80.0ms

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:

69.0ms

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

series119.0ms

Counts

1 → 3

Calls

1 calls:

119.0ms

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

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: 3 (649.0ms)

Iter	Nodes	Cost
0	135	1469
1	292	1395
2	702	1365
3	1907	1357
done	5000	1357

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))))

rewrite407.0ms

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:

27.0ms	(cbrt (/ (- (+ f n)) (- f n)))
16.0ms	(cbrt (/ (- (+ f n)) (- f n)))
22.0ms	(cbrt (/ (- (+ f n)) (- f n)))
255.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))

series1.3s

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt (/ (- (+ f n)) (- f n)))
350.0ms	(cbrt (/ (- (+ f n)) (- f n)))
319.0ms	(cbrt (/ (- (+ f n)) (- f n)))
274.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))

simplify2.8s

Counts

562 → 562

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	366	13569
1	559	12625
2	1510	12468
3	2416	11951
done	5000	11942

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))

rewrite71.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

50.0ms	(* (cbrt (- f n)) (cbrt (- f n)))
4.0ms	(cbrt (- f n))
4.0ms	(cbrt (- f n))
5.0ms	(cbrt (- f n))

series915.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (- f n)) (cbrt (- f n)))
197.0ms	(cbrt (- f n))
255.0ms	(cbrt (- f n))
267.0ms	(cbrt (- f n))

simplify3.2s

Counts

121 → 121

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	648	1262
3	1420	1158
4	3900	1118
done	5000	1114

prune394.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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

sample724.0ms

Algorithm

intervals

Results

431.0ms

8000×

body

valid