Details

sample28.0ms

Algorithm

intervals

Results

5.0ms	309×	body	80	nan
5.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite7.0ms

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` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

6.0ms

(sqrt (+ x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(sqrt (+ x y))

simplify1.9s

Counts

22 → 22

Iterations

Iter	Nodes
done	5001
4	2131
3	828
2	295
1	124
0	55

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(sqrt (sqrt (+ x y)))
0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
58×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `sqrt-pow1`
34×	`sqrt-div`
32×	`pow1`
21×	`pow1/2` `add-cube-cbrt`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `hypot-def`

Counts

4 → 157

Calls

4 calls:

10.0ms	(sqrt (+ x y))
11.0ms	(sqrt (sqrt (+ x y)))
7.0ms	(sqrt (sqrt (+ x y)))
48.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (+ x y))
210.0ms	(sqrt (sqrt (+ x y)))
240.0ms	(sqrt (sqrt (+ x y)))
46.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify2.2s

Counts

169 → 169

Iterations

Iter	Nodes
done	5014
3	2435
2	857
1	370
0	168

prune577.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.9b	(fma (* x x) x (* y (* y y)))
19.0b	(/ (sqrt (fma (* x x) x (* y (* y y)))) (sqrt (fma y (- y x) (* x x))))
20.1b	(sqrt (fma (* x x) x (* y (* y y))))
26.9b	(sqrt (fma y (- y x) (* x x)))

rewrite21.0ms

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` `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 → 103

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 (- y x) (* x x))))
2.0ms	(sqrt (fma (* x x) x (* y (* y y))))
2.0ms	(sqrt (fma y (- y x) (* x x)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma (* x x) x (* y (* y y)))
112.0ms	(/ (sqrt (fma (* x x) x (* y (* y y)))) (sqrt (fma y (- y x) (* x x))))
128.0ms	(sqrt (fma (* x x) x (* y (* y y))))
83.0ms	(sqrt (fma y (- y x) (* x x)))

simplify1.7s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
3	2138
2	696
1	294
0	155

prune581.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes198.0ms

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

sample1.0s

Algorithm

intervals

Results

236.0ms	8097×	body	80	nan
188.0ms	8000×	body	80	valid