Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	243×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
1.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	163
1	10	163
2	11	163
done	11	163

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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:

17.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify1.8s

Counts

15 → 15

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	31	3909
1	84	3538
2	215	3538
3	592	3538
4	1695	3538
done	5000	3538

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite173.0ms

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:

123.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
74.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
92.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
86.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	160	59335
1	394	47908
2	1475	47788
done	5000	46418

prune595.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize98.0ms

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
107.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
99.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
95.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.4s

Counts

68 → 68

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	87	41232
1	210	32688
2	690	32528
3	3070	31128
done	5001	30560

prune556.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize73.0ms

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

rewrite67.0ms

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` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 62

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
31.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
17.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
101.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
77.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
84.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.1s

Counts

74 → 74

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	213	53362
1	467	45358
2	1522	44863
done	5001	43613

prune644.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes260.0ms

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	163
1	8	163
done	8	163

end0.0ms

sample557.0ms

Algorithm

intervals

Results

305.0ms	7681×	body	80	valid
43.0ms	118×	body	1280	valid
11.0ms	78×	body	640	valid
9.0ms	53×	body	2560	valid
4.0ms	40×	body	320	valid
2.0ms	30×	body	160	valid