Details

Time bar (total: 9.5s)

sample19.0ms

Algorithm
intervals
Results
3.0ms256×body80valid
3.0ms247×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite8.0ms

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:
8.0ms
(sqrt (+ x y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(sqrt (+ x y))

simplify3.8s

Counts
22 → 22
Iterations

Useful iterations: 5 (996.0ms)

IterNodesCost
055184
1124160
2268155
3571145
41140142
51931141
63367141
done5001141

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x y))
0.5b
(pow (sqrt (+ x y)) 3)
21.9b
(cbrt (pow (sqrt (+ x y)) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×cbrt-prod sqrt-prod
17×add-sqr-sqrt
14×add-cube-cbrt unpow-prod-down cube-prod
6×pow1 sqrt-div
5×distribute-lft-out
4×add-exp-log cube-div add-cbrt-cube
3×expm1-log1p-u pow-unpow pow-pow flip3-+ flip-+ log1p-expm1-u add-log-exp
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube hypot-def rem-cube-cbrt
Counts
3 → 90
Calls
3 calls:
7.0ms
(sqrt (+ x y))
9.0ms
(pow (sqrt (+ x y)) 3)
10.0ms
(cbrt (pow (sqrt (+ x y)) 3))

series128.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(sqrt (+ x y))
57.0ms
(pow (sqrt (+ x y)) 3)
36.0ms
(cbrt (pow (sqrt (+ x y)) 3))

simplify2.2s

Counts
99 → 99
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01291150
1305787
2717763
33506727
done5001720

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.0b
(fma x x (* y (- y x)))
8.2b
(hypot (pow y 3/2) (pow x 3/2))
10.7b
(/ (hypot (pow y 3/2) (pow x 3/2)) (sqrt (fma x x (* y (- y x)))))
30.2b
(sqrt (fma x x (* y (- y x))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
15×sqrt-prod
6×add-exp-log associate-/r* add-cbrt-cube
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×hypot-udef
1×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num fma-udef div-inv
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma x x (* y (- y x)))
0.0ms
(hypot (pow y 3/2) (pow x 3/2))
8.0ms
(/ (hypot (pow y 3/2) (pow x 3/2)) (sqrt (fma x x (* y (- y x)))))
2.0ms
(sqrt (fma x x (* y (- y x))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(fma x x (* y (- y x)))
216.0ms
(hypot (pow y 3/2) (pow x 3/2))
293.0ms
(/ (hypot (pow y 3/2) (pow x 3/2)) (sqrt (fma x x (* y (- y x)))))
70.0ms
(sqrt (fma x x (* y (- y x))))

simplify1.5s

Counts
89 → 89
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01821892
13941765
210311641
333871614
done50001610

prune263.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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

sample538.0ms

Algorithm
intervals
Results
108.0ms8000×body80valid
106.0ms8053×body80nan