Details

Time bar (total: 1.7s)

sample28.0ms

Algorithm
intervals
Results
19.0ms367×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (+ (* x x) (* x y)))
0.0b
(+ (* x x) (* x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
9.0ms
(* 2.0 (+ (* x x) (* x y)))
3.0ms
(+ (* x x) (* x y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* 2.0 (+ (* x x) (* x y)))
33.0ms
(+ (* x x) (* x y))

simplify38.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0199227
11011198
25001191

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 2.0 x) (+ x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 25
Calls
1 calls:
11.0ms
(* (* 2.0 x) (+ x y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* 2.0 x) (+ x y))

simplify36.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0170125
1944105
25001105

prune37.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* y y))
5.0b
(* (* 2.0 x) (- (* x x) (* y y)))
18.3b
(/ (* (* 2.0 x) (- (* x x) (* y y))) (- x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×pow1
6×add-cube-cbrt prod-exp cbrt-unprod
5×times-frac associate-/r* add-log-exp
4×flip3-- associate-*r/ associate-*r* flip-- difference-of-squares
3×cbrt-undiv distribute-rgt-in expm1-log1p-u sub-neg distribute-lft-in div-exp prod-diff pow-prod-down log1p-expm1-u
2×associate-/r/ associate-/l/ distribute-lft-out--
1×frac-2neg fma-neg diff-log associate-*l* clear-num *-commutative div-inv associate-/l*
Counts
3 → 79
Calls
3 calls:
3.0ms
(- (* x x) (* y y))
13.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
15.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (- x y))

series177.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (* x x) (* y y))
62.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
83.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (- x y))

simplify79.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0419663
12409551
25002546

prune158.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample787.0ms

Algorithm
intervals
Results
598.0ms11168×body80valid