Details

Time bar (total: 2.1s)

sample33.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
7.0ms256×pre80overflowed

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613557
750017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
22.1b
(/ (* (- 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:
3.0ms
(+ (* x x) (* y y))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* x x) (* y y))
61.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0308388
11848330
25001322

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 2) (pow y 2))
0.0b
(/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))
21.3b
(/ (+ (pow x 2) (pow y 2)) (+ x y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
347×*-un-lft-identity
270×times-frac
155×add-sqr-sqrt
101×add-cube-cbrt
96×distribute-lft-out
60×unpow-prod-down
30×associate-/r*
27×distribute-lft-out-- difference-of-squares
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-+ flip-+
8×div-inv
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 → 237
Calls
3 calls:
10.0ms
(+ (pow x 2) (pow y 2))
35.0ms
(/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))
33.0ms
(/ (+ (pow x 2) (pow y 2)) (+ x y))

series150.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (pow x 2) (pow y 2))
59.0ms
(/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))
62.0ms
(/ (+ (pow x 2) (pow y 2)) (+ x y))

simplify96.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07622924
134152840
250012838

prune396.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize3.0ms

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: 0.3b

regimes74.0ms

Accuracy

76.6% (5.0b remaining)

Error of 5.4b against oracle of 0.4b and baseline of 21.6b

bsearch91.0ms

Steps
ItersRangePoint
7
4.078555951195532e-166
4.881321704601372e-164
4.787680322142136e-164
8
-1.9185551593885886e-143
-3.993764950301595e-148
-1.1817900146375154e-146
8
-5.0703513731044795e+156
-1.8940966300457258e+152
-2.808982232048472e+153

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02617
12617

end0.0ms

sample787.0ms

Algorithm
intervals
Results
457.0ms8000×body80valid
186.0ms8000×pre80overflowed