Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	247×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:

21.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify978.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	1545
3	547
2	208
1	83
0	31

prune125.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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)))

rewrite119.0ms

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:

81.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
82.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
81.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
90.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify708.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1475
1	394
0	160

prune713.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

24.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(+ x (/ (fabs (- y x)) 2.0))
8.0ms	(+ x (/ (fabs (- y x)) 2.0))
109.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
30.0ms	(+ x (/ (fabs (- y x)) 2.0))
33.0ms	(+ x (/ (fabs (- y x)) 2.0))
31.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify789.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1461
1	306
0	129

prune467.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
0.4b	(cbrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

10.0ms	(cbrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
10.0ms	(cbrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
71.0ms	(cbrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
80.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
82.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify684.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1290
1	381
0	169

prune582.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample922.0ms

Algorithm

intervals

Results

579.0ms	7662×	body	80	valid
16.0ms	108×	body	1280	valid
11.0ms	67×	body	2560	valid
10.0ms	85×	body	640	valid
5.0ms	50×	body	320	valid
2.0ms	28×	body	160	valid