Details

Time bar (total: 1.4s)

analyze13.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 21.1b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
20.9b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
associate-/l/
add-exp-log add-cbrt-cube
flip3-+ flip-+
add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity add-log-exp
flip3-- times-frac associate-/r* flip--
pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
+-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))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* y y))
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0308388
11848330
25001322

prune72.0ms

Filtered
39 candidates to 48 candidates (-23.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449

Merged error: 0.3b

Counts
49 → 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

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.3b

Counts
4 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
20.9b
(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
41×associate-/r/
29×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×frac-times
17×flip3-+ add-cbrt-cube flip-+
16×associate-/r*
15×flip3-- flip--
14×div-exp
10×associate-*r/ associate-*l/
cbrt-undiv
div-inv associate-/l*
add-log-exp
pow1 prod-exp
rec-exp 1-exp
frac-2neg clear-num cbrt-unprod associate-/l/
+-commutative pow-flip sum-log inv-pow
Counts
3 → 130
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
17.0ms
(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
12.0ms
(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
11.0ms
(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
11.0ms
(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06041639
139131446
250011365

prune117.0ms

Filtered
79 candidates to 139 candidates (-75.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done022
Total1394143

Merged error: 0.3b

Counts
143 → 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: 0.3b

Counts
4 → 4

regimes178.0ms

Accuracy

78.3% (4.6b remaining)

Error of 5.1b against oracle of 0.5b and baseline of 21.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02115
12115

end0.0ms

analyze13.0ms

Algorithm
search

sample624.0ms

Algorithm
intervals
Results
330.0ms8000×body80valid
154.0ms8000×pre80true

Profiling

Loading profile data...