Details

Time bar (total: 1.4s)

sample19.0ms

Algorithm
intervals
Results
10.0ms449×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune1.0ms

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: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
8.0ms
(* (+ x y) (+ x y))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(* (+ x y) (+ x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0189213
1901188
25001170

prune42.0ms

Filtered
43 candidates to 19 candidates (44.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0.0b

Counts
44 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* y y))
0.2b
(* (- (* x x) (* y y)) (+ x y))
18.2b
(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×frac-times flip3-- flip-- associate-/l/
7×add-cube-cbrt
6×flip3-+ flip-+
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r* associate-*l* associate-*l/ difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out--
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 78
Calls
3 calls:
3.0ms
(- (* x x) (* y y))
8.0ms
(* (- (* x x) (* y y)) (+ x y))
12.0ms
(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

series109.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (* x x) (* y y))
35.0ms
(* (- (* x x) (* y y)) (+ x y))
44.0ms
(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0436731
12661647
25001647

prune145.0ms

Filtered
87 candidates to 64 candidates (73.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New85287
Fresh101
Picked101
Done101
Total88290

Merged error: 0.0b

Counts
90 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2 (* x y))
0.0b
(+ (pow y 2) (* 2 (* x y)))
0.0b
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt sum-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+r+ associate-*r* *-commutative distribute-lft-out
Counts
3 → 43
Calls
3 calls:
5.0ms
(* 2 (* x y))
5.0ms
(+ (pow y 2) (* 2 (* x y)))
8.0ms
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

series82.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* 2 (* x y))
40.0ms
(+ (pow y 2) (* 2 (* x y)))
23.0ms
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

simplify37.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0226296
1985272
25001265

prune91.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New51152
Fresh011
Picked101
Done000
Total52254

Merged error: 0.0b

Counts
54 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (+ (* 2 x) y))
0.0b
(+ (pow x 2) (* y (+ (* 2 x) y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
6.0ms
(* y (+ (* 2 x) y))
5.0ms
(+ (pow x 2) (* y (+ (* 2 x) y)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* y (+ (* 2 x) y))
22.0ms
(+ (pow x 2) (* y (+ (* 2 x) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0212231
11068212
25002212

prune53.0ms

Filtered
41 candidates to 27 candidates (65.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done000
Total41243

Merged error: 0.0b

Counts
43 → 2

regimes24.0ms

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
0125
1125

end0.0ms

sample449.0ms

Algorithm
intervals
Results
241.0ms14170×body80valid

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