Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	238×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify99.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	39	7
5	48	7
6	53	7
7	62	7
8	78	7
9	99	7
10	110	7
11	112	7
12	116	7
13	119	7
done	119	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

12.0ms

(+ x (/ (- x y) 2.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(+ x (/ (- x y) 2.0))

simplify873.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	215	157
3	612	157
4	2386	157
done	5000	157

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

13.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
95.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

425.0ms	(cbrt (+ x (/ (- x y) 2.0)))
419.0ms	(cbrt (+ x (/ (- x y) 2.0)))
414.0ms	(cbrt (+ x (/ (- x y) 2.0)))
388.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	129	2124
1	263	1959
2	628	1841
3	1595	1650
4	4615	1594
done	5000	1594

prune240.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

390×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
50×	`associate-*r/`
44×	`associate-*l/`
37×	`cbrt-prod`
20×	`*-un-lft-identity`
15×	`pow1`
13×	`add-exp-log` `add-cube-cbrt` `pow1/3`
12×	`add-sqr-sqrt`
9×	`pow-prod-down`
7×	`associate-l`
6×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
5×	`pow-prod-up`
4×	`distribute-lft-out` `add-log-exp`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 160

Calls

4 calls:

404.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
11.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts

4 → 12

Calls

4 calls:

409.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
429.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
430.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
430.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify1.0s

Counts

172 → 172

Iterations

Useful iterations: 3 (528.0ms)

Iter	Nodes	Cost
0	294	9426
1	663	8871
2	1360	7887
3	2726	7450
done	5000	7450

prune477.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
1.2b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
22×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-div`
10×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

11.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
14.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
11.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
24.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6)

series2.0s

Counts

4 → 12

Calls

4 calls:

432.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
425.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
433.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
723.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6)

simplify811.0ms

Counts

88 → 88

Iterations

Useful iterations: 3 (259.0ms)

Iter	Nodes	Cost
0	144	1560
1	312	1488
2	726	1313
3	2155	1256
done	5000	1256

prune327.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample317.0ms

Algorithm

intervals

Results

147.0ms	7420×	body	80	valid
16.0ms	206×	body	1280	valid
10.0ms	159×	body	640	valid
7.0ms	79×	body	2560	valid
4.0ms	87×	body	320	valid
2.0ms	53×	body	160	valid