Details

Time bar (total: 1.5s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.2b
(- (* x x) (* (* y 4.0) y))
32.5b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* (* y 4.0) y))
44.0ms
(- (* x x) (* (* y 4.0) y))
57.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0234680
11007622
25001620

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
3.2b
(- (* x x) (* (* y 4.0) y))
32.5b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
div-exp add-log-exp
flip3-- flip-- div-inv associate-/l*
pow1
cbrt-undiv
rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
+-commutative sub-neg pow-flip diff-log sum-log inv-pow
Counts
4 → 138
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
9.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
3.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x x) (* (* y 4.0) y))
58.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
40.0ms
(- (* x x) (* (* y 4.0) y))
61.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04612225
123262037
250021901

prune219.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.9b

regimes135.0ms

Accuracy

56.7% (13.5b remaining)

Error of 14.0b against oracle of 0.5b and baseline of 31.6b

bsearch83.0ms

Steps
ItersRangePoint
8
1.9386486951852963e+68
6.310868864655015e+71
1.9631464787281808e+68
7
-6.444424640590995e-137
-1.2092856846845309e-138
-6.591806724450832e-138
9
-6.606528294779468e+144
-1.6450582212898727e+137
-3.0018675033187654e+143

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample348.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid