Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify9.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize16.0ms

Local error

Found 2 expressions with local error:

4.5b
(- (* x x) (* (* y 4.0) y))
31.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
8.0ms
(- (* x x) (* (* y 4.0) y))
28.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x x) (* (* y 4.0) y))
65.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify167.0ms

Counts
50 → 50

prune115.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Counts
0 → 0

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
4.5b
(- (* x x) (* (* y 4.0) y))
31.2b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip flip3-+ diff-log flip-+ inv-pow
Counts
3 → 127
Calls
3 calls:
27.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
8.0ms
(- (* x x) (* (* y 4.0) y))
41.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
44.0ms
(- (* x x) (* (* y 4.0) y))
68.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify62.0ms

Counts
136 → 136

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

4.5b
(- (* x x) (* (* y 4.0) y))
31.2b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
31.2b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
31.2b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
6×associate-/r/ associate-/l/ add-log-exp
4×pow1 flip3-- flip--
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×sub-neg diff-log
Counts
4 → 105
Calls
4 calls:
8.0ms
(- (* x x) (* (* y 4.0) y))
36.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
38.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
41.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* x x) (* (* y 4.0) y))
64.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
65.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
65.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify151.0ms

Counts
117 → 117

prune365.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

regimes142.0ms

Accuracy

60.3% (12.4b remaining)

Error of 12.8b against oracle of 0.4b and baseline of 31.7b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample649.0ms

Algorithm
intervals
Results
421.0ms8000×body80valid