Details

Time bar (total: 1.4s)

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify60.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.6b

Counts
2 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

18.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-exp-log add-cbrt-cube
4×frac-times flip3-+ flip-+
3×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×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)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0270311
11434265
25001261

prune68.0ms

Filtered
34 candidates to 28 candidates (82.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31334
Fresh000
Picked011
Done000
Total31435

Merged error: 0.3b

Counts
35 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
18.2b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×associate-*l*
4×pow1 associate-/r/ associate-/l*
3×flip3-+ associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 78
Calls
2 calls:
15.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
8.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
49.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0345738
11708670
25003668

prune121.0ms

Filtered
84 candidates to 57 candidates (67.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0.3b

Counts
88 → 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

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.3b

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: 0.3b

Counts
4 → 4

regimes69.0ms

Accuracy

76.1% (4.6b remaining)

Error of 5.1b against oracle of 0.4b and baseline of 19.9b

bsearch95.0ms

Steps
ItersRangePoint
9
3.131823627125502e-171
2.5817690028776953e-164
2.5428092360716616e-164
10
-4.584650929462074e-157
-5.25825475502254e-167
-1.134813907035083e-157
8
-2.3864984321674706e+156
-6.635354719968133e+153
-6.690419842766434e+153

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample598.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
149.0ms8000×pre80true