Details

Time bar (total: 4.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify201.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0919
11918
23918
37718
412818
518418
621118
721618
done21618

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* y 4.0) y))
2.9b
(- (* x x) (* (* y 4.0) y))
30.3b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num fma-udef div-inv
Counts
3 → 58
Calls
3 calls:
0.0ms
(fma x x (* (* y 4.0) y))
13.0ms
(- (* x x) (* (* y 4.0) y))
20.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(fma x x (* (* y 4.0) y))
50.0ms
(- (* x x) (* (* y 4.0) y))
74.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify1.6s

Counts
67 → 67
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0941321
12251289
27821165
330811163
done50001162

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* (* y 4.0) y))
0.0b
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
20.8b
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
23.7b
(/ (* x x) (fma x x (* (* y 4.0) y)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×prod-diff
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
19×div-inv
18×add-exp-log add-cbrt-cube
fma-neg
associate-/r* add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
frac-2neg clear-num associate-/l* difference-of-squares
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- fma-udef distribute-lft-out-- sub-div
Counts
4 → 134
Calls
4 calls:
0.0ms
(fma x x (* (* y 4.0) y))
25.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
20.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
10.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(fma x x (* (* y 4.0) y))
88.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
60.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
60.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))

simplify1.3s

Counts
146 → 146
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02107157
15145979
217474829
done50004097

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes89.0ms

Accuracy

55.3% (13.9b remaining)

Error of 14.3b against oracle of 0.4b and baseline of 31.5b

bsearch114.0ms

Steps
ItersRangePoint
10
9.511609313434486e+66
1.6770313419776726e+82
4.173692067620822e+81
10
9.517071470764056e-169
2.1721780040378074e-151
1.7031956199965793e-158
11
-8.26406001092755e-16
-1.1574611673992854e-35
-3.8778843023865606e-18

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02142
12542
done2542

end0.0ms

sample412.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid