Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
10.0ms	246×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `sqrt-prod`
2×	`pow1` `sqrt-div` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

10.0ms

(sqrt (+ x y))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(sqrt (+ x y))

simplify2.0s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
4	2197
3	824
2	292
1	125
0	56

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.2b	(fma x (* x x) (* y (* y y)))
17.9b	(/ (sqrt (fma x (* x x) (* y (* y y)))) (sqrt (fma (- y x) y (* x x))))
21.7b	(sqrt (fma x (* x x) (* y (* y y))))
27.9b	(sqrt (fma (- y x) y (* x x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
36×	`add-sqr-sqrt` `times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `sqrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 107

Calls

4 calls:

0.0ms	(fma x (* x x) (* y (* y y)))
11.0ms	(/ (sqrt (fma x (* x x) (* y (* y y)))) (sqrt (fma (- y x) y (* x x))))
2.0ms	(sqrt (fma x (* x x) (* y (* y y))))
2.0ms	(sqrt (fma (- y x) y (* x x)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma x (* x x) (* y (* y y)))
79.0ms	(/ (sqrt (fma x (* x x) (* y (* y y)))) (sqrt (fma (- y x) y (* x x))))
107.0ms	(sqrt (fma x (* x x) (* y (* y y))))
93.0ms	(sqrt (fma (- y x) y (* x x)))

simplify1.9s

Counts

119 → 119

Iterations

Iter	Nodes
done	5006
3	2139
2	713
1	298
0	159

prune645.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.2b	(fma x (* x x) (* y (* y y)))
18.1b	(* (sqrt (fma x (* x x) (* y (* y y)))) (/ 1 (sqrt (fma (- y x) y (* x x)))))
21.7b	(sqrt (fma x (* x x) (* y (* y y))))
27.9b	(sqrt (fma (- y x) y (* x x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
27×	`sqrt-prod`
26×	`times-frac`
25×	`*-un-lft-identity`
22×	`associate-r`
21×	`add-cube-cbrt`
13×	`add-exp-log`
10×	`unswap-sqr`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-l`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `div-inv`

Counts

4 → 101

Calls

4 calls:

0.0ms	(fma x (* x x) (* y (* y y)))
16.0ms	(* (sqrt (fma x (* x x) (* y (* y y)))) (/ 1 (sqrt (fma (- y x) y (* x x)))))
2.0ms	(sqrt (fma x (* x x) (* y (* y y))))
7.0ms	(sqrt (fma (- y x) y (* x x)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma x (* x x) (* y (* y y)))
74.0ms	(* (sqrt (fma x (* x x) (* y (* y y)))) (/ 1 (sqrt (fma (- y x) y (* x x)))))
90.0ms	(sqrt (fma x (* x x) (* y (* y y))))
84.0ms	(sqrt (fma (- y x) y (* x x)))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
3	2602
2	1037
1	392
0	168

prune422.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes121.0ms

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	5
1	5
0	4

end0.0ms

sample941.0ms

Algorithm

intervals

Results

352.0ms	8200×	body	80	nan
306.0ms	8000×	body	80	valid