Details

Time bar (total: 1.3s)

analyze13.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613437
750017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.6b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

17.3b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
associate-/l/
add-exp-log add-cbrt-cube
frac-times flip3-+ flip-+
add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0270311
11434265
25001261

prune48.0ms

Filtered
28 candidates to 34 candidates (-21.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31334
Fresh000
Picked011
Done000
Total31435

Merged error: 0.1b

Counts
35 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
17.0b
(/ (+ (* x x) (* y y)) (+ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
add-exp-log add-cbrt-cube
flip3-+ flip-+ div-inv associate-/l*
cbrt-undiv div-exp associate-/l/
pow1 frac-2neg clear-num add-log-exp
flip3-- div-sub flip--
Counts
2 → 166
Calls
2 calls:
14.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
8.0ms
(/ (+ (* x x) (* y y)) (+ x y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
9.0ms
(/ (+ (* x x) (* y y)) (+ x y))

simplify87.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06772255
130232178
250012175

prune109.0ms

Filtered
113 candidates to 172 candidates (-52.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh022
Picked011
Done011
Total1724176

Merged error: 0.1b

Counts
176 → 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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.1b

Counts
4 → 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 (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044

Merged error: 0.1b

Counts
4 → 4

regimes130.0ms

Accuracy

78.2% (4.3b remaining)

Error of 4.7b against oracle of 0.4b and baseline of 20.1b

bsearch94.0ms

Steps
ItersRangePoint
7
3.1378563048447925e-164
2.1892049570804611e-162
1.6273521579432125e-162
7
-4.663401651844505e-162
-4.711465151353364e-164
-2.2882435572721194e-162
9
-6.430784134380099e+155
-5.02761780273179e+149
-1.8803057485967063e+150

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

analyze18.0ms

Algorithm
search

sample572.0ms

Algorithm
intervals
Results
298.0ms8000×body80valid
145.0ms8000×pre80true

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