Details

Time bar (total: 1.5s)

analyze12.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%18.7%81.3%0
0%18.7%81.3%1
0%18.7%81.3%2
0%18.7%81.3%3
0%18.7%81.3%4
4.7%14%81.3%5
5.3%13.5%81.3%6
18.1%0.6%81.3%7
18.1%0.6%81.3%8
18.6%0.1%81.3%9
18.6%0.1%81.3%10
18.7%0%81.3%11
18.7%0%81.3%12
18.7%0%81.3%13
18.7%0%81.3%14

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
5.0ms256×pre80true

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
0489715
1489715

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.8b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
18.9b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-exp-log add-cbrt-cube
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity add-log-exp
3×flip3-- times-frac associate-/r* flip--
2×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×+-commutative frac-2neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* x x) (* y y))
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x x) (* y y))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify24.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05103655

prune62.0ms

Filtered
38 candidates to 48 candidates (-26.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh101
Picked101
Done000
Total46450

Merged error: 0.1b

Counts
50 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.0b
(+ (* x x) (* y y))
0.0b
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
18.9b
(/ (+ (* x x) (* y y)) (- (* x x) (* y y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
64×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×associate-/r*
17×add-exp-log difference-of-squares
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 → 154
Calls
4 calls:
4.0ms
(- (* x x) (* y y))
4.0ms
(+ (* x x) (* y y))
11.0ms
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
11.0ms
(/ (+ (* x x) (* y y)) (- (* x x) (* y y)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x x) (* y y))
5.0ms
(+ (* x x) (* y y))
9.0ms
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
10.0ms
(/ (+ (* x x) (* y y)) (- (* x x) (* y y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050623450

prune142.0ms

Filtered
114 candidates to 166 candidates (-45.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh033
Picked011
Done000
Total1664170

Merged error: 0.1b

Counts
170 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
0.0b
(+ (* x x) (* y y))
18.3b
(/ (+ (* x x) (* y y)) (+ x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
10×add-exp-log add-cbrt-cube
9×flip3-+ flip-+
8×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-- div-sub sum-log flip--
Counts
3 → 177
Calls
3 calls:
12.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
4.0ms
(+ (* x x) (* y y))
8.0ms
(/ (+ (* x x) (* y y)) (+ x y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
5.0ms
(+ (* x x) (* y y))
9.0ms
(/ (+ (* x x) (* y y)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051644282

prune121.0ms

Filtered
123 candidates to 186 candidates (-51.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1860186
Fresh022
Picked011
Done011
Total1864190

Merged error: 0.1b

Counts
190 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.1b

Counts
4 → 4

regimes109.0ms

Accuracy

76.8% (4.7b remaining)

Error of 5.2b against oracle of 0.6b and baseline of 20.6b

bsearch36.0ms

Steps
ItersRangePoint
8
1.246085964663767e-190
2.9894525336157514e-187
2.9392210219802266e-187
7
-7.006326730428946e-162
-3.223258174723387e-163
-1.57795570958839e-162
8
-2.0084253631100187e+156
-3.8252855510951044e+152
-1.353645889848894e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04032
14032

end0.0ms

sample564.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid
148.0ms8000×pre80true

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