Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	249×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	11	8
done	11	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

20.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify3.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	226	185
3	515	185
4	1428	185
5	3947	185
done	5000	185

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))))

rewrite172.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `hypot-def` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `times-frac` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

19.0ms	(+ x (/ (fabs (- y x)) 2.0))
29.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
96.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series155.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ x (/ (fabs (- y x)) 2.0))
53.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
29.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.7s

Counts

133 → 133

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	135	2667
1	284	1909
2	787	1765
3	2441	1708
done	5000	1674

prune416.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (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)))
0.7b	(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `sqrt-prod`
12×	`cbrt-prod` `sqrt-div`
10×	`pow1` `unpow-prod-down` `cbrt-div`
8×	`flip3-+` `associate-*r/` `flip-+`
7×	`add-exp-log` `associate-l`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `pow-pow` `sqrt-pow1` `associate-r` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `pow1/2` `pow1/3` `pow-prod-down`
2×	`associate-*l/` `unswap-sqr`
1×	`pow-to-exp` `sqrt-unprod` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `cbrt-unprod` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

196.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
42.0ms	(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

series340.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
84.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
81.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
140.0ms	(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

simplify3.0s

Counts

111 → 111

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	239	3146
1	543	2936
2	1424	2380
3	4258	1995
done	5000	1992

prune624.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series130.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify3.5s

Counts

13 → 13

Iterations

Useful iterations: 5 (2.4s)

Iter	Nodes	Cost
0	40	216
1	89	171
2	216	145
3	538	143
4	1416	142
5	3911	138
done	5000	138

prune26.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample522.0ms

Algorithm

intervals

Results

315.0ms	7698×	body	80	valid
14.0ms	105×	body	1280	valid
9.0ms	73×	body	640	valid
8.0ms	61×	body	320	valid
6.0ms	33×	body	2560	valid
2.0ms	32×	body	160	valid