Details

Time bar (total: 5.1s)

sample34.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify353.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0919
11918
23918
37718
413118
519318
623418
724218
done24218

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize31.0ms

Local error

Found 2 expressions with local error:

2.6b
(- (* x x) (* (* y 4.0) y))
32.8b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite51.0ms

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:
15.0ms
(- (* x x) (* (* y 4.0) y))
34.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(- (* x x) (* (* y 4.0) y))
120.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify1.7s

Counts
54 → 54
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0901183
12461158
214541051
done50011047

prune421.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize1.0ms

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

prune5.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

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: 0.3b

regimes314.0ms

Accuracy

58.8% (13.0b remaining)

Error of 13.4b against oracle of 0.4b and baseline of 31.9b

bsearch377.0ms

Steps
ItersRangePoint
6
2.431590957525676e+49
1.98731002151814e+50
1.9431365563396376e+50
8
1.0233711920082547e+44
2.0412105396705614e+47
1.0424837731199122e+44
6
3.3017519232323425e+21
4.029283566439362e+22
3.416391192343889e+22
7
1.1454916979639543e-163
2.1434769218230827e-162
1.2331090409695878e-162
8
-1.5854693509046165e-93
-1.5329575775787027e-96
-1.8443598935192776e-96
9
-1.1303037121209073e+145
-2.682543536920123e+136
-7.056949369856406e+143

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02982
13382
done3382

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s8000×body80valid