Details

Time bar (total: 5.9s)

sample39.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify321.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0919
11918
23918
37718
413118
519318
623418
724218
done24218

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize18.0ms

Local error

Found 2 expressions with local error:

3.9b
(- (* x x) (* (* y 4.0) y))
29.3b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite44.0ms

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:
9.0ms
(- (* x x) (* (* y 4.0) y))
33.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(- (* x x) (* (* y 4.0) y))
94.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify1.2s

Counts
54 → 54
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0901183
12461158
214541051
done50011047

prune274.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

3.9b
(- (* x x) (* (* y 4.0) y))
28.1b
(sqrt (fma x x (* (* y 4.0) y)))
28.1b
(sqrt (fma x x (* (* y 4.0) y)))
28.1b
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (fma x x (* (* y 4.0) y))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
pow1 add-exp-log associate-/r* add-cbrt-cube add-log-exp
expm1-log1p-u log1p-expm1-u
associate-/l*
rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
4 → 90
Calls
4 calls:
9.0ms
(- (* x x) (* (* y 4.0) y))
2.0ms
(sqrt (fma x x (* (* y 4.0) y)))
2.0ms
(sqrt (fma x x (* (* y 4.0) y)))
34.0ms
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (fma x x (* (* y 4.0) y))))

series427.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* x x) (* (* y 4.0) y))
118.0ms
(sqrt (fma x x (* (* y 4.0) y)))
99.0ms
(sqrt (fma x x (* (* y 4.0) y)))
140.0ms
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (fma x x (* (* y 4.0) y))))

simplify1.1s

Counts
102 → 102
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01192067
12891927
213751806
done50011802

prune443.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes189.0ms

Accuracy

61.2% (12.3b remaining)

Error of 12.6b against oracle of 0.3b and baseline of 32.1b

bsearch325.0ms

Steps
ItersRangePoint
7
2.0162023842533157e+127
3.307459902187486e+129
4.735150776778642e+127
9
0.0002573389159119229
28918.939680702064
0.0002637073173922211
9
1.225889303318422e-48
7.630223978823771e-42
7.251238886375514e-42
5
3.239489351753188e-119
7.152962780282767e-119
5.481288829847034e-119
2
-1.075118143074871e-90
-9.258400352637067e-91
-1.0494610473739957e-90
8
-1.0142403382077034e+126
-1.2636273408959521e+122
-1.1543129503955349e+123

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
031115
135115
done35115

end0.0ms

sample1.2s

Algorithm
intervals
Results
917.0ms8000×body80valid