Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	247×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	2×	body	320	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	11	8
done	11	8

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

6.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify1.0s

Counts

15 → 15

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	31	195
1	84	187
2	186	171
3	411	171
4	1008	171
5	2625	171
done	5001	171

prune28.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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:

16.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
22.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify936.0ms

Counts

107 → 107

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	170	2766
1	390	2562
2	1179	2345
3	3934	2126
done	5000	2090

prune260.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

6.0ms	(+ x (/ (fabs (- y x)) 2.0))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
25.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ x (/ (fabs (- y x)) 2.0))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify858.0ms

Counts

118 → 118

Iterations

Useful iterations: done (854.0ms)

Iter	Nodes	Cost
0	133	2581
1	293	1880
2	948	1758
3	3192	1726
done	5000	1710

prune169.0ms

Filtered

66 candidates to 118 candidates (-78.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

121×	`sqrt-prod`
74×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`sqrt-div`
29×	`unpow-prod-down` `cube-prod`
26×	`associate-l`
25×	`add-cube-cbrt`
24×	`unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log` `associate-r`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

15.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
24.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
10.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series89.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
22.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
39.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify630.0ms

Counts

182 → 182

Iterations

Useful iterations: done (617.0ms)

Iter	Nodes	Cost
0	228	4959
1	600	3850
2	2248	3578
done	5001	3392

prune317.0ms

Filtered

92 candidates to 182 candidates (-97.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	182	5	187

Merged error: 0b

Counts

187 → 5

regimes151.0ms

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	8
1	8	8
done	8	8

end0.0ms

sample500.0ms

Algorithm

intervals

Results

222.0ms	7706×	body	80	valid
13.0ms	107×	body	1280	valid
7.0ms	49×	body	2560	valid
7.0ms	70×	body	640	valid
3.0ms	39×	body	320	valid
2.0ms	33×	body	160	valid

Details

sample18.0ms

simplify4.0ms

prune3.0ms

localize6.0ms

rewrite6.0ms

series6.0ms

simplify1.0s

prune28.0ms

localize10.0ms

rewrite44.0ms

series100.0ms

simplify936.0ms

prune260.0ms

localize8.0ms

rewrite47.0ms

series42.0ms

simplify858.0ms

prune169.0ms

localize11.0ms

rewrite64.0ms

series89.0ms

simplify630.0ms

prune317.0ms

regimes151.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample500.0ms

Profiling