Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid

simplify101.0ms

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))

rewrite14.0ms

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:

14.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify1.0s

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

prune37.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

59.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.8s

Counts

23 → 23

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	66	371
1	161	356
2	445	338
3	1419	330
4	4981	330
done	5000	330

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

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))))

rewrite137.0ms

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:

12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
13.0ms	(cbrt (+ x (/ (- x y) 2.0)))
97.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.9s

Counts

4 → 12

Calls

4 calls:

416.0ms	(cbrt (+ x (/ (- x y) 2.0)))
623.0ms	(cbrt (+ x (/ (- x y) 2.0)))
420.0ms	(cbrt (+ x (/ (- x y) 2.0)))
404.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	129	2124
1	263	1959
2	628	1841
3	1595	1650
4	4620	1594
done	5000	1594

prune226.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
1.0b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 5)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
21×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`unpow-prod-down` `cbrt-div`
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 → 73

Calls

4 calls:

11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
25.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 5)

series2.0s

Counts

4 → 12

Calls

4 calls:

432.0ms	(cbrt (+ x (/ (- x y) 2.0)))
435.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
429.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
715.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 5)

simplify744.0ms

Counts

85 → 85

Iterations

Useful iterations: done (741.0ms)

Iter	Nodes	Cost
0	165	1479
1	360	1410
2	812	1312
3	2000	1292
done	5001	1288

prune245.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

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	7	9
1	8	9
done	8	9

end0.0ms

sample299.0ms

Algorithm

intervals

Results

134.0ms	7354×	body	80	valid
17.0ms	233×	body	1280	valid
10.0ms	174×	body	640	valid
8.0ms	86×	body	2560	valid
5.0ms	109×	body	320	valid
1.0ms	46×	body	160	valid