Details

sample37.0ms

Algorithm

intervals

Results

20.0ms	247×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

12.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify996.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	2000
4	1224
3	495
2	216
1	85
0	32

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite63.0ms

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-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

6.0ms	(+ x (/ (fabs (- y x)) 2.0))
7.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
41.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ x (/ (fabs (- y x)) 2.0))
65.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
89.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
32.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify611.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2001
2	809
1	304
0	132

prune439.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.2b	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

116×	`sqrt-div`
61×	`sqrt-prod`
59×	`sqrt-pow1`
54×	`pow1`
36×	`add-sqr-sqrt` `pow-prod-up`
35×	`flip3-+` `pow1/2` `flip-+`
32×	`frac-times`
26×	`*-un-lft-identity`
20×	`associate-l`
16×	`associate-*r/` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `associate-*l/`
8×	`associate-r`
6×	`pow-plus` `unswap-sqr`
5×	`distribute-lft-out`
4×	`rem-sqrt-square` `cube-unmult` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`

Counts

4 → 175

Calls

4 calls:

16.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
16.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
121.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
56.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
77.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
79.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.1s

Counts

187 → 187

Iterations

Iter	Nodes
done	2001
2	1692
1	674
0	256

prune917.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (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)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
30×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `sqrt-div`
20×	`associate-r`
16×	`pow1`
14×	`cbrt-prod` `add-cube-cbrt`
12×	`cbrt-div`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `associate-*r/`
9×	`flip3-+` `flip-+`
8×	`unswap-sqr`
7×	`associate-l`
5×	`sqrt-pow1` `pow1/2`
4×	`frac-times` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`sqrt-unprod`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 108

Calls

4 calls:

69.0ms	(* (* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
38.0ms	(* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
150.0ms	(* (sqrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
60.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify858.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	2002
1	779
0	321

prune965.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample795.0ms

Algorithm

intervals

Results

530.0ms	7705×	body	80	valid
65.0ms	103×	body	1280	valid
19.0ms	71×	body	640	valid
18.0ms	50×	body	2560	valid
8.0ms	49×	body	320	valid
3.0ms	26×	body	160	valid