Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	57×	body	1280	valid
4.0ms	39×	body	640	valid
3.0ms	133×	body	80	valid
1.0ms	19×	body	320	valid
0.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite26.0ms

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-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
22.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series406.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(cbrt (+ x 1.0))
171.0ms	(cbrt x)
148.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify680.0ms

Counts

53 → 53

Iterations

Useful iterations: 3 (236.0ms)

Iter	Nodes	Cost
0	131	649
1	291	597
2	698	573
3	1808	521
done	5001	521

prune148.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
31×	`cbrt-prod`
12×	`difference-of-squares`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt` `distribute-lft-out--`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`distribute-lft-out`
3×	`pow-unpow`
2×	`cube-div` `cbrt-div` `flip3--` `pow1/3` `flip--`
1×	`cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `diff-log` `unpow3` `pow-exp` `flip-+` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

27.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
22.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series636.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
88.0ms	(cbrt (+ x 1.0))
184.0ms	(cbrt x)
150.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify624.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	255	1596
1	697	1441
2	2191	1368
done	5001	1368

prune266.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(- (+ x 1.0) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`cbrt-div` `diff-log` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
22.0ms	(- (+ x 1.0) x)

series447.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ x 1.0))
176.0ms	(cbrt x)
174.0ms	(cbrt x)
1.0ms	(- (+ x 1.0) x)

simplify743.0ms

Counts

65 → 65

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	119	502
1	255	479
2	658	446
3	1879	386
done	5001	386

prune223.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
0.6b	(cbrt x)
14.9b	(cbrt (pow (/ (* 1 (+ 0 1.0)) (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x))))) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
51×	`cbrt-div`
43×	`flip3-+` `flip-+`
40×	`associate-*r/`
36×	`associate-/r/`
32×	`frac-add`
25×	`unpow-prod-down` `cube-prod`
16×	`frac-times`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-*l/`
6×	`times-frac`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`div-inv`
1×	`cube-div` `cube-mult` `unpow3` `rem-cbrt-cube` `distribute-lft-out` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
25.0ms	(cbrt (pow (/ (* 1 (+ 0 1.0)) (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x))))) 3))

series798.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ x 1.0))
176.0ms	(cbrt x)
174.0ms	(cbrt x)
357.0ms	(cbrt (pow (/ (* 1 (+ 0 1.0)) (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x))))) 3))

simplify432.0ms

Counts

114 → 114

Iterations

Useful iterations: done (426.0ms)

Iter	Nodes	Cost
0	450	6273
1	1323	5070
done	5001	4886

prune323.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

regimes63.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	26
1	21	22
done	21	22

end0.0ms

sample569.0ms

Algorithm

intervals

Results

198.0ms	1666×	body	1280	valid
108.0ms	1210×	body	640	valid
101.0ms	4089×	body	80	valid
44.0ms	669×	body	320	valid
16.0ms	366×	body	160	valid