Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	247×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	160	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: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`fma-def`
10×	`*-un-lft-identity`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u` `div-inv` `distribute-lft-out`

Counts

1 → 27

Calls

1 calls:

14.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.5s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
4	1785
3	602
2	227
1	88
0	33

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- y x)))
0.0b	(sqrt (fabs (- y x)))
0.4b	(fma (/ (sqrt (fabs (- y x))) 1) (/ (sqrt (fabs (- y x))) 2.0) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`fma-udef`

Counts

3 → 40

Calls

3 calls:

1.0ms	(sqrt (fabs (- y x)))
1.0ms	(sqrt (fabs (- y x)))
0.0ms	(fma (/ (sqrt (fabs (- y x))) 1) (/ (sqrt (fabs (- y x))) 2.0) x)

series111.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(sqrt (fabs (- y x)))
24.0ms	(sqrt (fabs (- y x)))
68.0ms	(fma (/ (sqrt (fabs (- y x))) 1) (/ (sqrt (fabs (- y x))) 2.0) x)

simplify2.6s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
4	2659
3	465
2	147
1	58
0	39

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-prod`
23×	`add-sqr-sqrt`
20×	`times-frac`
17×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`rem-sqrt-square`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `div-inv`
1×	`fma-udef`

Counts

3 → 64

Calls

3 calls:

3.0ms	(sqrt (/ (fabs (- y x)) 2.0))
3.0ms	(sqrt (/ (fabs (- y x)) 2.0))
0.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (sqrt (/ (fabs (- y x)) 2.0)) x)

series264.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sqrt (/ (fabs (- y x)) 2.0))
63.0ms	(sqrt (/ (fabs (- y x)) 2.0))
142.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (sqrt (/ (fabs (- y x)) 2.0)) x)

simplify2.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	2244
3	550
2	198
1	109
0	80

prune387.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (sqrt (/ (fabs (- y x)) 2.0)) (* (sqrt (/ 1 (sqrt 2.0))) (sqrt (/ (fabs (- y x)) (sqrt 2.0)))) x)
0.5b	(/ (fabs (- y x)) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))
1.0b	(sqrt (/ 1 (sqrt 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
57×	`sqrt-prod`
54×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
47×	`add-cube-cbrt`
12×	`associate-/r*`
10×	`add-exp-log`
9×	`pow1`
8×	`add-cbrt-cube`
7×	`sqrt-pow1`
6×	`pow-flip` `associate-/l*`
5×	`rem-sqrt-square`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/2` `div-exp` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `inv-pow`
1×	`rec-exp` `sqrt-div` `1-exp` `fma-udef`

Counts

4 → 141

Calls

4 calls:

1.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (* (sqrt (/ 1 (sqrt 2.0))) (sqrt (/ (fabs (- y x)) (sqrt 2.0)))) x)
10.0ms	(/ (fabs (- y x)) (sqrt 2.0))
12.0ms	(/ 1 (sqrt 2.0))
19.0ms	(sqrt (/ 1 (sqrt 2.0)))

series307.0ms

Counts

4 → 8

Calls

4 calls:

228.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (* (sqrt (/ 1 (sqrt 2.0))) (sqrt (/ (fabs (- y x)) (sqrt 2.0)))) x)
78.0ms	(/ (fabs (- y x)) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))
0.0ms	(sqrt (/ 1 (sqrt 2.0)))

simplify732.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
2	962
1	272
0	177

prune696.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample604.0ms

Algorithm

intervals

Results

333.0ms	7715×	body	80	valid
16.0ms	105×	body	1280	valid
10.0ms	55×	body	2560	valid
10.0ms	81×	body	640	valid
3.0ms	31×	body	320	valid
1.0ms	16×	body	160	valid