Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	248×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

16.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify2.7s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
5	3001
4	1244
3	513
2	215
1	84
0	31

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

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×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

80.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
67.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
88.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
80.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
3	2587
2	986
1	391
0	160

prune721.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
101.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
103.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
68.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	2969
2	965
1	342
0	146

prune608.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
19×	`*-un-lft-identity`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
100.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
102.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
75.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2969
2	965
1	342
0	146

prune618.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample784.0ms

Algorithm

intervals

Results

405.0ms	7693×	body	80	valid
20.0ms	105×	body	1280	valid
15.0ms	101×	body	640	valid
8.0ms	36×	body	2560	valid
5.0ms	40×	body	320	valid
2.0ms	25×	body	160	valid