Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	246×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

17.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify1.1s

Counts

15 → 15

Iterations

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

prune80.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite129.0ms

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:

90.0ms	(* (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)))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
90.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
100.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
99.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify759.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1475
1	394
0	160

prune589.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

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)))

rewrite55.0ms

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:

18.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
14.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
9.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
10.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
87.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
102.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
95.0ms	(cbrt (cbrt (+ (/ (fabs (- y x)) 2.0) x)))

simplify807.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1278
1	383
0	161

prune607.0ms

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))))

rewrite134.0ms

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:

9.0ms	(+ x (/ (fabs (- y x)) 2.0))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
87.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (/ (fabs (- y x)) 2.0))
77.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
90.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
42.0ms	(* (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

prune469.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes243.0ms

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

sample760.0ms

Algorithm

intervals

Results

419.0ms	7710×	body	80	valid
18.0ms	90×	body	1280	valid
13.0ms	81×	body	640	valid
11.0ms	50×	body	2560	valid
6.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid