Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	248×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify1.6s

Counts

20 → 20

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	199	185
3	478	185
4	1245	185
5	3767	185
done	5000	185

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite89.0ms

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:

8.0ms	(+ x (/ (fabs (- y x)) 2.0))
12.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ x (/ (fabs (- y x)) 2.0))
48.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
45.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify501.0ms

Counts

133 → 133

Iterations

Useful iterations: done (498.0ms)

Iter	Nodes	Cost
0	135	2667
1	287	1913
2	1030	1765
done	5001	1753

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series719.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
171.0ms	(cbrt x)
171.0ms	(cbrt x)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (293.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 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))

series105.0ms

Counts

1 → 3

Calls

1 calls:

105.0ms

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

simplify738.0ms

Counts

13 → 13

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	40	216
1	89	171
2	279	145
3	1214	143
done	5000	142

prune31.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample315.0ms

Algorithm

intervals

Results

156.0ms	7713×	body	80	valid
8.0ms	96×	body	1280	valid
6.0ms	82×	body	640	valid
4.0ms	38×	body	2560	valid
3.0ms	48×	body	320	valid
1.0ms	27×	body	160	valid