Details

Time bar (total: 12.7s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0912
11411
22410
33010
done3010

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 36.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma z z (fma x x (* y y)))
0.0b
(fma x x (* y y))
34.0b
(sqrt (fma z z (fma x x (* y y))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity
3×add-exp-log expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
3 → 35
Calls
3 calls:
0.0ms
(fma z z (fma x x (* y y)))
0.0ms
(fma x x (* y y))
2.0ms
(sqrt (fma z z (fma x x (* y y))))

series307.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(fma z z (fma x x (* y y)))
66.0ms
(fma x x (* y y))
172.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify1.6s

Counts
44 → 44
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
049471
171438
2159389
3541389
42527389
done5000389

prune152.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 16.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* y y))
0.0b
(+ (* z z) (fma x x (* y y)))
34.0b
(sqrt (+ (* z z) (fma x x (* y y))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
5×add-log-exp
4×pow1 add-cube-cbrt *-un-lft-identity
3×add-exp-log expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u
2×flip3-+ sqrt-div flip-+ fma-udef
1×+-commutative rem-sqrt-square associate-+r+ fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
3 → 43
Calls
3 calls:
0.0ms
(fma x x (* y y))
13.0ms
(+ (* z z) (fma x x (* y y)))
18.0ms
(sqrt (+ (* z z) (fma x x (* y y))))

series238.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma x x (* y y))
55.0ms
(+ (* z z) (fma x x (* y y)))
141.0ms
(sqrt (+ (* z z) (fma x x (* y y))))

simplify1.4s

Counts
52 → 52
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
066675
1139576
2437523
31938523
done5000523

prune218.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 16.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* y y))
0.0b
(hypot z (sqrt (fma x x (* y y))))
26.9b
(sqrt (fma x x (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity
3×add-exp-log expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×rem-sqrt-square hypot-udef sqrt-pow1 pow1/2 hypot-def
Counts
3 → 36
Calls
3 calls:
0.0ms
(fma x x (* y y))
1.0ms
(hypot z (sqrt (fma x x (* y y))))
3.0ms
(sqrt (fma x x (* y y)))

series346.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(fma x x (* y y))
237.0ms
(hypot z (sqrt (fma x x (* y y))))
56.0ms
(sqrt (fma x x (* y y)))

simplify3.2s

Counts
45 → 45
Iterations

Useful iterations: 5 (1.7s)

IterNodesCost
048405
168370
2137235
3341231
4952231
53083219
done5000219

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot y x)
0.0b
(hypot z (* 1 (hypot y x)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt hypot-udef *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(hypot y x)
0.0ms
(hypot z (* 1 (hypot y x)))

series252.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(hypot y x)
200.0ms
(hypot z (* 1 (hypot y x)))

simplify3.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
034176
151144
266128
388128
4117128
5174128
6302128
7780128
82699128
done5000128

prune107.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes121.0ms

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: 1 (1.0ms)

IterNodesCost
077
1105
done105

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s8000×body80valid