Details

Time bar (total: 9.5s)

sample39.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms251×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune3.0ms

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
(sqrt (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
13.0ms
(sqrt (+ x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(sqrt (+ x y))

simplify2.2s

Counts
22 → 22
Iterations

Useful iterations: done (2.2s)

IterNodesCost
055184
1124160
2390155
31761145
done5000142

prune54.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.2b
(sqrt (sqrt (+ x y)))
0.2b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
58×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 157
Calls
4 calls:
10.0ms
(sqrt (+ x y))
9.0ms
(sqrt (sqrt (+ x y)))
12.0ms
(sqrt (sqrt (+ x y)))
92.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (+ x y))
211.0ms
(sqrt (sqrt (+ x y)))
233.0ms
(sqrt (sqrt (+ x y)))
43.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.4s

Counts
169 → 169
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01682244
13821414
216911335
done50031318

prune342.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
0.4b
(* (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
32×sqrt-div
24×*-un-lft-identity
23×associate-*r*
22×add-sqr-sqrt
21×cbrt-prod
16×add-cube-cbrt
11×pow1 add-exp-log add-cbrt-cube
10×cbrt-div associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 107
Calls
4 calls:
44.0ms
(* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
114.0ms
(* (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))))
9.0ms
(cbrt (sqrt (+ x y)))
9.0ms
(cbrt (sqrt (+ x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
604.0ms
(* (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))))
135.0ms
(cbrt (sqrt (+ x y)))
160.0ms
(cbrt (sqrt (+ x y)))

simplify1.7s

Counts
119 → 119
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02402232
16042056
228161881
done50031862

prune572.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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)

IterNodesCost
044
154
done54

end0.0ms

sample1.1s

Algorithm
intervals
Results
280.0ms8000×body80valid
214.0ms7819×body80nan