Details

Time bar (total: 6.8s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms86×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
056
175
done75

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.3b
(sqrt (+ (* x x) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
3.0ms
(+ (* x x) y)
5.0ms
(sqrt (+ (* x x) y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (* x x) y)
44.0ms
(sqrt (+ (* x x) y))

simplify3.3s

Counts
38 → 38
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
063345
1152284
2426250
31291248
44289247
done5001247

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/2 (/ y x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 1/2 (/ y x) x)

series39.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma 1/2 (/ y x) x)

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
016110
121107
24795
312895
445595
5181295
done500095

prune24.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/2 (/ y x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 1/2 (/ y x) x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma 1/2 (/ y x) x)

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
016110
121107
24795
312895
445595
5181295
done500095

prune26.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.0b

bsearch51.0ms

Steps
ItersRangePoint
8
7.789038224997725e+107
1.262008322990991e+112
1.2357322782900815e+112
10
-1.4120878331876276e+156
-2.4047927607493394e+144
-1.3285272782249076e+154

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
11627
done1627

end0.0ms

sample352.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid
45.0ms2706×body80nan