Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	240×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	5×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify1.0s

Counts

15 → 15

Iterations

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

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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:

76.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
73.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
66.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
71.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify772.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1475
1	394
0	160

prune709.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.1b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.1b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.3b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite161.0ms

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` `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 → 106

Calls

4 calls:

18.0ms	(+ x (/ (fabs (- y x)) 2.0))
28.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
94.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ x (/ (fabs (- y x)) 2.0))
68.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
91.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	1458
1	305
0	129

prune484.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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)))))
0.5b	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite212.0ms

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×	`associate-r` `add-exp-log`
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-l/` `pow-exp` `associate-r/`
1×	`pow-plus` `*-commutative` `pow-prod-up` `cbrt-unprod` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

15.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
143.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
26.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series346.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
75.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
167.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify1.7s

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
2	2872
1	668
0	229

prune868.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes673.0ms

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

sample670.0ms

Algorithm

intervals

Results

377.0ms	7727×	body	80	valid
14.0ms	89×	body	1280	valid
10.0ms	77×	body	640	valid
10.0ms	50×	body	2560	valid
4.0ms	45×	body	320	valid
1.0ms	16×	body	160	valid