Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	246×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

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-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

12.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.0s

Counts

15 → 15

Iterations

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

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite88.0ms

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:

60.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (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)))
7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
75.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
81.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
63.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify772.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1475
1	394
0	160

prune599.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

16.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
23.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
15.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
9.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
76.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
63.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
61.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))

simplify692.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1278
1	383
0	161

prune656.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite137.0ms

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:

20.0ms	(+ x (/ (fabs (- y x)) 2.0))
17.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
79.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ x (/ (fabs (- y x)) 2.0))
52.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
66.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
27.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.0s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	1458
1	305
0	129

prune428.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes280.0ms

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

sample702.0ms

Algorithm

intervals

Results

369.0ms	7710×	body	80	valid
16.0ms	90×	body	1280	valid
12.0ms	81×	body	640	valid
11.0ms	50×	body	2560	valid
5.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid