Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	243×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
1.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune10.0ms

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)

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)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(+ (/ (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

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)

rewrite17.0ms

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:

6.0ms	(sqrt (/ (fabs (- y x)) 2.0))
7.0ms	(sqrt (/ (fabs (- y x)) 2.0))
1.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (sqrt (/ (fabs (- y x)) 2.0)) x)

series268.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(sqrt (/ (fabs (- y x)) 2.0))
49.0ms	(sqrt (/ (fabs (- y x)) 2.0))
168.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (sqrt (/ (fabs (- y x)) 2.0)) x)

simplify2.3s

Counts

73 → 73

Iterations

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

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
42×	`sqrt-prod`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
16×	`associate-r`
10×	`pow1`
8×	`unswap-sqr`
6×	`add-cbrt-cube` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `pow-prod-down`
2×	`sqrt-div` `div-inv`
1×	`sqrt-unprod` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 99

Calls

4 calls:

2.0ms	(sqrt (fabs (- y x)))
7.0ms	(sqrt (/ (fabs (- y x)) 2.0))
0.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (* (sqrt (fabs (- y x))) (sqrt (/ 1 2.0))) x)
37.0ms	(* (sqrt (fabs (- y x))) (sqrt (/ 1 2.0)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (fabs (- y x)))
38.0ms	(sqrt (/ (fabs (- y x)) 2.0))
137.0ms	(fma (sqrt (/ (fabs (- y x)) 2.0)) (* (sqrt (fabs (- y x))) (sqrt (/ 1 2.0))) x)
59.0ms	(* (sqrt (fabs (- y x))) (sqrt (/ 1 2.0)))

simplify666.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	759
1	241
0	148

prune520.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

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)

rewrite7.0ms

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:

2.0ms	(sqrt (fabs (- y x)))
3.0ms	(sqrt (fabs (- y x)))
1.0ms	(fma (/ (sqrt (fabs (- y x))) 1) (/ (sqrt (fabs (- y x))) 2.0) x)

series126.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(sqrt (fabs (- y x)))
18.0ms	(sqrt (fabs (- y x)))
90.0ms	(fma (/ (sqrt (fabs (- y x))) 1) (/ (sqrt (fabs (- y x))) 2.0) x)

simplify2.7s

Counts

49 → 49

Iterations

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

prune271.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes108.0ms

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

sample574.0ms

Algorithm

intervals

Results

346.0ms	7681×	body	80	valid
25.0ms	118×	body	1280	valid
10.0ms	53×	body	2560	valid
9.0ms	78×	body	640	valid
4.0ms	40×	body	320	valid
2.0ms	30×	body	160	valid