Details

Time bar (total: 1.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613557
750017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize8.0ms

Local error

Found 1 expressions with local error:

22.3b
(/ (* (- 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)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0270311
11434265
25001261

prune79.0ms

Filtered
34 candidates to 28 candidates (82.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

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 (2 fresh and 2 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
21.5b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
associate-*l*
pow1 associate-/r/ associate-/l*
flip3-+ associate-/r* flip-+
cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 78
Calls
2 calls:
28.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
11.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
49.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0345738
11708670
25003668

prune142.0ms

Filtered
84 candidates to 57 candidates (67.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

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)

Merged error: 0.6b

regimes71.0ms

Accuracy

76.8% (4.8b remaining)

Error of 5.2b against oracle of 0.5b and baseline of 21.0b

bsearch78.0ms

Steps
ItersRangePoint
5
2.1020665800104662e-169
4.706788075623402e-169
4.657531984540723e-169
7
-7.3299304407712385e-149
-5.196538963382862e-151
-4.809760210905046e-149
9
-4.6171551268437305e+157
-7.645752846015274e+150
-1.2395677118614665e+151

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample497.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
112.0ms8000×pre80true