Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0919
11918
23918
38018
413318
518718
621518
721918
done21918

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize9.0ms

Local error

Found 2 expressions with local error:

3.3b
(- (* x x) (* (* y 4.0) y))
29.0b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* x x) (* (* y 4.0) y))
77.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify1.8s

Counts
54 → 54
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0901183
12191154
28001046
336741044
done50011042

prune158.0ms

Pruning

3 alts after pruning (2 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

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 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

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes88.0ms

Accuracy

61.1% (12.0b remaining)

Error of 12.3b against oracle of 0.3b and baseline of 31.1b

bsearch169.0ms

Steps
ItersRangePoint
9
6.3129433769575865e+100
1.1419719569126802e+107
2.756542813676069e+103
9
1.9992484636444498e-87
1.3679096689958957e-81
2.9825574787203653e-86
9
-1.9094341285360354e-159
-1.948959072094272e-164
-2.6395470821417425e-162
10
-2.7283838574175814e+156
-2.4047927607493394e+144
-7.011466568761976e+150

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02355
12755
done2755

end0.0ms

sample356.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid