Details

Time bar (total: 3.5s)

sample23.0ms

Algorithm
intervals
Results
6.0ms82×body80nan
6.0ms256×body80valid

simplify14.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
19.4b
(sqrt (+ (* x x) y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
8.0ms
(+ (* x x) y)
10.0ms
(sqrt (+ (* x x) y))

series72.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* x x) y)
46.0ms
(sqrt (+ (* x x) y))

simplify678.0ms

Counts
32 → 32

prune97.0ms

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
(- (/ (- (/ y x)) 2) x)

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-log-exp
difference-of-squares
pow1 add-exp-log associate--l- neg-sub0 add-cube-cbrt sub-neg flip3-- times-frac diff-log div-sub add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 16
Calls
1 calls:
136.0ms
(- (/ (- (/ y x)) 2) x)

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(- (/ (- (/ y x)) 2) x)

simplify568.0ms

Counts
19 → 19

prune48.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (/ y x) 2))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
32.0ms
(+ x (/ (/ y x) 2))

series38.0ms

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

simplify656.0ms

Counts
15 → 15

prune29.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.9b

bsearch68.0ms

Steps
ItersRangePoint
8
2.3460915143298957e+81
7.5748038176292055e+84
6.063771965228405e+84
10
-2.467274161490782e+161
-2.5300323932420435e+146
-1.3303999492099964e+154

simplify35.0ms

end0.0ms

sample756.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid
95.0ms2625×body80nan