Details

sample297.0ms

Algorithm

intervals

Results

75.0ms

256×

body

valid

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	31
6	31
5	29
4	24
3	20
2	16
1	13
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`neg-sub0` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 96

Calls

1 calls:

33.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify947.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2000
3	2000
2	699
1	312
0	134

prune755.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

247×	`*-un-lft-identity`
180×	`times-frac`
175×	`add-sqr-sqrt`
97×	`add-cube-cbrt`
72×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
39×	`distribute-lft-out--` `difference-of-squares`
36×	`distribute-lft-out` `associate-/l*`
18×	`neg-mul-1`
15×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
7×	`cbrt-div`
6×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`neg-sub0` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `associate-*r/` `distribute-frac-neg` `flip-+` `div-inv` `flip--`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 306

Calls

4 calls:

127.0ms	(cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
25.0ms	(/ (- (+ f n)) (- f n))
28.0ms	(/ (- (+ f n)) (- f n))
20.0ms	(/ (- (+ f n)) (- f n))

series511.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
111.0ms	(/ (- (+ f n)) (- f n))
117.0ms	(/ (- (+ f n)) (- f n))
107.0ms	(/ (- (+ f n)) (- f n))

simplify1.2s

Counts

318 → 318

Iterations

Iter	Nodes
done	2001
3	2001
2	884
1	383
0	163

prune3.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- f n) (+ f n))
0.0b	(/ -1 (/ (- f n) (+ f n)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 170

Calls

2 calls:

30.0ms	(/ (- f n) (+ f n))
27.0ms	(/ -1 (/ (- f n) (+ f n)))

series196.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (- f n) (+ f n))
99.0ms	(/ -1 (/ (- f n) (+ f n)))

simplify1.4s

Counts

176 → 176

Iterations

Iter	Nodes
done	2001
3	2001
2	1881
1	598
0	221

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

3.0ms	(cbrt (- f n))
3.0ms	(cbrt (- f n))
3.0ms	(cbrt (- f n))
28.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (- f n))
204.0ms	(cbrt (- f n))
232.0ms	(cbrt (- f n))
148.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

simplify1.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	2001
4	2001
3	1682
2	674
1	286
0	133

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample776.0ms

Algorithm

intervals

Results

564.0ms

8000×

body

valid