Details

sample28.0ms

Algorithm

intervals

Results

12.0ms	245×	body	80	valid
1.0ms	4×	body	320	valid
1.0ms	3×	body	640	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify9.0ms

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: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

27.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify2.5s

Counts

16 → 16

Iterations

Iter	Nodes
done	5021
5	3047
4	1224
3	495
2	216
1	85
0	32

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)))

rewrite163.0ms

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` `insert-posit16` `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 → 99

Calls

4 calls:

109.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
77.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
65.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
66.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
3	2590
2	1000
1	394
0	162

prune626.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 66

Calls

4 calls:

12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
14.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
92.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
68.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
95.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.7s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
3	3986
2	1298
1	470
0	216

prune588.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
12×	`frac-times`
7×	`cbrt-prod` `*-un-lft-identity`
6×	`associate-l/` `associate-r/`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
1×	`distribute-lft-out`

Counts

4 → 69

Calls

4 calls:

7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
29.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
24.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
35.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
89.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
63.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
72.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify2.0s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	2697
2	926
1	345
0	160

prune768.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample599.0ms

Algorithm

intervals

Results

403.0ms	7709×	body	80	valid
18.0ms	96×	body	1280	valid
13.0ms	84×	body	640	valid
9.0ms	39×	body	2560	valid
7.0ms	51×	body	320	valid
2.0ms	22×	body	160	valid