Details

Time bar (total: 9.7s)

sample27.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
5.0ms249×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1582
done582

prune8.0ms

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))

rewrite14.0ms

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:
13.0ms
(sqrt (+ x y))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(sqrt (+ x y))

simplify1.8s

Counts
22 → 22
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0554965
11243685
23893620
317183420
done50013370

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

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))))

rewrite128.0ms

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:
11.0ms
(sqrt (+ x y))
13.0ms
(sqrt (sqrt (+ x y)))
14.0ms
(sqrt (sqrt (+ x y)))
80.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(sqrt (+ x y))
265.0ms
(sqrt (sqrt (+ x y)))
313.0ms
(sqrt (sqrt (+ x y)))
61.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.6s

Counts
169 → 169
Iterations

Useful iterations: done (1.6s)

IterNodesCost
016848125
138033586
2170332854
done500032406

prune613.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.8b
(- (* y y) (* x y))
20.0b
(/ (sqrt (fma (* y y) y (* (* x x) x))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
20.2b
(sqrt (fma (* y y) y (* (* x x) x)))
26.9b
(sqrt (+ (* x x) (- (* y y) (* x y))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-prod
37×add-sqr-sqrt
36×times-frac
34×*-un-lft-identity add-cube-cbrt
6×pow1 associate-/r* add-cbrt-cube add-exp-log associate-/l* add-log-exp
4×expm1-log1p-u sqrt-div log1p-expm1-u
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-/r/ flip-+
1×cbrt-undiv sqrt-undiv clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- fma-neg diff-log div-exp prod-diff hypot-def div-inv flip--
Counts
4 → 115
Calls
4 calls:
13.0ms
(- (* y y) (* x y))
58.0ms
(/ (sqrt (fma (* y y) y (* (* x x) x))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
2.0ms
(sqrt (fma (* y y) y (* (* x x) x)))
47.0ms
(sqrt (+ (* x x) (- (* y y) (* x y))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* y y) (* x y))
81.0ms
(/ (sqrt (fma (* y y) y (* (* x x) x))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
112.0ms
(sqrt (fma (* y y) y (* (* x x) x)))
94.0ms
(sqrt (+ (* x x) (- (* y y) (* x y))))

simplify2.2s

Counts
127 → 127
Iterations

Useful iterations: done (2.2s)

IterNodesCost
019365323
144358035
2206957628
done500055793

prune607.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1582
done582

end0.0ms

sample1.1s

Algorithm
intervals
Results
225.0ms8000×body80valid
164.0ms7894×body80nan