Details

Time bar (total: 7.1s)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0915
12215
24715
38615
416615
529115
652015
787915
8268615
done500115

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.0b

localize8.0ms

Local error

Found 1 expressions with local error:

21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
associate-/l/
add-exp-log add-cbrt-cube
frac-times flip3-+ flip-+
add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify716.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
079660
1270641
21133539
done5001539

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
20.5b
(/ (+ (* x x) (* y y)) (+ x y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
add-exp-log add-cbrt-cube
flip3-+ flip-+ div-inv associate-/l*
cbrt-undiv div-exp associate-/l/
pow1 frac-2neg clear-num add-log-exp
flip3-- div-sub flip--
Counts
2 → 166
Calls
2 calls:
20.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
12.0ms
(/ (+ (* x x) (* y y)) (+ x y))

series124.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
60.0ms
(/ (+ (* x x) (* y y)) (+ x y))

simplify928.0ms

Counts
172 → 172
Iterations

Useful iterations: done (922.0ms)

IterNodesCost
02334522
16744326
222944170
done50004166

prune306.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.2b

regimes63.0ms

Accuracy

78.3% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 21.2b

bsearch59.0ms

Steps
ItersRangePoint
2
4.910818542691477e-165
5.656365848499966e-165
5.563172435273904e-165
5
-5.885705453029294e-162
-1.834547769674711e-162
-3.5965424677863614e-162
10
-6.10058349091927e+155
-5.018232510648431e+143
-6.914902721332837e+144

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02044
12830
done2830

end0.0ms

sample511.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid
113.0ms8000×pre80true