Details

Time bar (total: 9.6s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
2.0ms81×body80nan

simplify4.0ms

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: 22.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.5b
(sqrt (+ (* x x) y))

rewrite19.0ms

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:
8.0ms
(+ (* x x) y)
10.0ms
(sqrt (+ (* x x) y))

series72.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (* x x) y)
51.0ms
(sqrt (+ (* x x) y))

simplify2.9s

Counts
38 → 38
Iterations

Useful iterations: done (2.9s)

IterNodesCost
063345
1151284
2391250
3983248
42627247
done5000246

prune161.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma 1/2 (/ y x) x)

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
016110
121107
24895
315795
457695
5262495
done500095

prune30.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

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)

series43.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma 1/2 (/ y x) x)

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
016110
121107
24895
315795
457695
5262495
done500095

prune27.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.7b

bsearch51.0ms

Steps
ItersRangePoint
8
1.1454728851377046e+109
2.392706232302927e+112
7.419817825242465e+111
9
-4.868209042395978e+158
-1.7004475472942417e+152
-1.2996772002233855e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
11627
done1627

end0.0ms

sample781.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid
78.0ms2565×body80nan