Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	52×	body	1280	valid
5.0ms	39×	body	640	valid
5.0ms	136×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1))
0.6b	(cbrt x)
2.9b	(- (cbrt (+ x 1)) (cbrt x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 47

Calls

3 calls:

3.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)
24.0ms	(- (cbrt (+ x 1)) (cbrt x))

series445.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(cbrt (+ x 1))
289.0ms	(cbrt x)
120.0ms	(- (cbrt (+ x 1)) (cbrt x))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
4	3308
3	1295
2	562
1	259
0	121

prune473.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1 x))
0.3b	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
6×	`pow1` `associate-r` `associate-l` `add-exp-log`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (+ 1 x))
81.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series742.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ 1 x))
146.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
279.0ms	(cbrt x)
259.0ms	(cbrt x)

simplify2.4s

Counts

81 → 81

Iterations

Iter	Nodes
3	4780
2	1291
1	389
0	153

prune730.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1 x))
0.3b	(* (cbrt x) (+ (cbrt (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
6×	`pow1` `associate-l` `add-exp-log`
5×	`add-cbrt-cube`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

5.0ms	(cbrt (+ 1 x))
92.0ms	(* (cbrt x) (+ (cbrt (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series802.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ 1 x))
178.0ms	(* (cbrt x) (+ (cbrt (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (cbrt x)))
311.0ms	(cbrt x)
277.0ms	(cbrt x)

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
3	4238
2	1241
1	391
0	154

prune809.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt x) (+ (cbrt (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (* (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) (cbrt (cbrt (+ 1 x)))))) (cbrt x)))
0.3b	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
43×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
24×	`cbrt-div`
21×	`add-cube-cbrt`
16×	`associate-l`
14×	`associate-r`
13×	`pow1`
12×	`swap-sqr`
11×	`unswap-sqr`
8×	`pow1/3` `add-exp-log`
7×	`flip3-+` `flip-+` `distribute-lft-out`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus`

Counts

4 → 120

Calls

4 calls:

129.0ms	(* (cbrt x) (+ (cbrt (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (* (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) (cbrt (cbrt (+ 1 x)))))) (cbrt x)))
33.0ms	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series720.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt x) (+ (cbrt (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (* (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) (cbrt (cbrt (+ 1 x)))))) (cbrt x)))
57.0ms	(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
267.0ms	(cbrt x)
271.0ms	(cbrt x)

simplify2.9s

Counts

132 → 132

Iterations

Iter	Nodes
3	5221
2	1459
1	510
0	218

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes86.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

654.0ms	1199×	body	640	valid
454.0ms	1782×	body	1280	valid
196.0ms	608×	body	320	valid
186.0ms	4100×	body	80	valid
27.0ms	311×	body	160	valid