Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify187.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11719
23519
36719
411419
516619
619519
719919
done19919

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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 flip3-- associate-/r/ flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
13.0ms
(- (* x x) (* (* y 4.0) y))
28.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(- (* x x) (* (* y 4.0) y))
66.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify781.0ms

Counts
50 → 50
Iterations

Useful iterations: done (778.0ms)

IterNodesCost
0821196
12371174
211631062
done50011060

prune184.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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 sqrt-div associate-/r* add-cbrt-cube add-log-exp
flip3-+ flip-+ associate-/l*
rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
8.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
8.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
34.0ms
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* x x) (* (* y 4.0) y))
56.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
56.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
136.0ms
(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

simplify698.0ms

Counts
98 → 98
Iterations

Useful iterations: done (694.0ms)

IterNodesCost
01152241
12902084
212201936
done50001934

prune328.0ms

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

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune2.0ms

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

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: 0.4b

regimes160.0ms

Accuracy

61.2% (12.3b remaining)

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

bsearch173.0ms

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
031121
136121
done36121

end0.0ms

sample774.0ms

Algorithm
intervals
Results
500.0ms8000×body80valid