Details

Time bar (total: 10.1s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms105×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
056
175
done75

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
21.1b
(sqrt (+ (* x x) y))

rewrite23.0ms

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:
11.0ms
(+ (* x x) y)
11.0ms
(sqrt (+ (* x x) y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* x x) y)
60.0ms
(sqrt (+ (* x x) y))

simplify3.0s

Counts
38 → 38
Iterations

Useful iterations: done (3.0s)

IterNodesCost
063345
1151284
2391250
3983248
42627247
done5000246

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(fma 1/2 (/ y x) x)

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
016110
121107
24895
315795
457695
5262495
done500095

prune37.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

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)

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(fma 1/2 (/ y x) x)

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
016110
121107
24895
315795
457695
5262495
done500095

prune26.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.0b

bsearch72.0ms

Steps
ItersRangePoint
6
1.5026730440886545e+96
1.9423403825680393e+97
1.892549585482312e+97
8
-4.810799056667626e+157
-2.5035812315715853e+153
-1.3221955759293222e+154

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01527
11627
done1627

end0.0ms

sample854.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
88.0ms2608×body80nan