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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.1b
(- (* x x) (* (* y 4.0) y))
29.1b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×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)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x x) (* (* y 4.0) y))
39.0ms
(- (* x x) (* (* y 4.0) y))
64.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0234680
11007622
25001620

prune114.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh000
Picked101
Done000
Total61465

Merged error: 0.2b

Counts
65 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
0.0b
(+ (* x x) (* (* y 4.0) y))
4.1b
(- (* x x) (* (* y 4.0) y))
29.1b
(/ (+ (* 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
8×div-exp add-log-exp
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative sub-neg pow-flip diff-log sum-log inv-pow
Counts
4 → 138
Calls
4 calls:
9.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
4.0ms
(+ (* 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)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
36.0ms
(+ (* x x) (* (* y 4.0) y))
39.0ms
(- (* x x) (* (* y 4.0) y))
61.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04612225
123262037
250021901

prune196.0ms

Filtered
150 candidates to 87 candidates (58.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1500150
Fresh033
Picked011
Done000
Total1504154

Merged error: 0.2b

Counts
154 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

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)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.2b

Counts
4 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.2b

Counts
4 → 4

regimes126.0ms

Accuracy

56.8% (13.4b remaining)

Error of 13.8b against oracle of 0.4b and baseline of 31.5b

bsearch196.0ms

Steps
ItersRangePoint
7
1.0092195817124736e+274
1.9148982701543642e+276
1.0347887184723732e+274
8
1.9979669361507375e+223
7.901878602918389e+227
2.905507182505685e+226
9
7.586783533713427e-58
8.746515915668855e-50
8.297352886333691e-53
5
9.816394660137228e-177
2.4094327004471313e-176
1.871404255593542e-176
9
2.368440659551025e-217
1.214188375794818e-209
5.911725024282761e-212
8
1.1009403402761144e-231
6.5537622691544135e-229
2.442814405354497e-230
9
4.632875564873557e-279
5.333652107612927e-271
5.17370770179536e-272

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03837
13837

end0.0ms

sample352.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid