Details

sample44.0ms

Algorithm

intervals

Results

28.0ms	245×	body	80	valid
2.0ms	6×	body	1280	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

12.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify3.6s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
5	4267
4	1455
3	564
2	235
1	90
0	34

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

16.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

355.0ms	(* (cbrt x) (cbrt x))
290.0ms	(cbrt x)
297.0ms	(cbrt x)
340.0ms	(cbrt x)

simplify3.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
4	4334
3	1106
2	364
1	141
0	67

prune494.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
15×	`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×	`expm1-log1p-u` `frac-times` `hypot-def` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `times-frac` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 125

Calls

4 calls:

6.0ms	(+ x (/ (fabs (- y x)) 2.0))
9.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
41.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series145.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ x (/ (fabs (- y x)) 2.0))
55.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.1s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
3	2528
2	815
1	316
0	138

prune548.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.3b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

116×	`sqrt-div`
62×	`sqrt-prod`
54×	`sqrt-pow1`
49×	`pow1`
38×	`add-sqr-sqrt`
35×	`flip3-+` `flip-+`
32×	`frac-times` `pow-prod-up`
30×	`pow1/2`
26×	`*-un-lft-identity`
20×	`associate-r`
16×	`associate-*l/` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `associate-*r/`
8×	`associate-l`
6×	`pow3` `unswap-sqr`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`pow-plus` `*-commutative`

Counts

4 → 179

Calls

4 calls:

12.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
11.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
98.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
68.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
24.0ms	(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
106.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify1.9s

Counts

191 → 191

Iterations

Iter	Nodes
done	5000
2	1881
1	681
0	266

prune918.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

482.0ms	7676×	body	80	valid
354.0ms	120×	body	1280	valid
22.0ms	88×	body	640	valid
16.0ms	43×	body	2560	valid
7.0ms	41×	body	320	valid
4.0ms	33×	body	160	valid