Details

Time bar (total: 2.0s)

sample18.0ms

Algorithm
intervals
Results
10.0ms353×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1323
2663
3923
41003
51003

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* x y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 13
Calls
1 calls:
4.0ms
(- (* x x) (* x y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- (* x x) (* x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
08877
133665
2136863
3500163

prune25.0ms

Filtered
16 candidates to 11 candidates (68.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh000
Picked011
Done000
Total15217

Merged error: 0.0b

Counts
17 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x 2) (* y y))
0.0b
(* x (+ x y))
10.3b
(* (pow x 2) (- (pow x 2) (* y y)))
31.7b
(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ x y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
21×add-sqr-sqrt
20×add-cbrt-cube
14×prod-exp
11×*-un-lft-identity associate-*r* associate-*l*
add-cube-cbrt
associate-*r/ div-exp difference-of-squares
pow1 unpow-prod-down cbrt-unprod add-log-exp
unswap-sqr
cbrt-undiv unpow2 sqr-pow
distribute-rgt-in pow-to-exp sub-neg flip3-- distribute-lft-in pow-exp flip--
flip3-+ associate-/r/ *-commutative flip-+ associate-/l/
frac-2neg times-frac diff-log pow-prod-down clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 105
Calls
4 calls:
4.0ms
(- (pow x 2) (* y y))
6.0ms
(* x (+ x y))
9.0ms
(* (pow x 2) (- (pow x 2) (* y y)))
13.0ms
(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ x y)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (pow x 2) (* y y))
27.0ms
(* x (+ x y))
55.0ms
(* (pow x 2) (- (pow x 2) (* y y)))
68.0ms
(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ x y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0455799
12886648
25002648

prune186.0ms

Filtered
117 candidates to 73 candidates (62.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh000
Picked011
Done011
Total1163119

Merged error: 0.0b

Counts
119 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (+ (pow x 3) (pow y 3)))
10.3b
(* (pow x 2) (- (pow x 2) (* y y)))
16.4b
(* (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ (pow x 3) (pow y 3)))) (+ (* x x) (- (* y y) (* x y))))
32.7b
(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ (pow x 3) (pow y 3))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
38×add-cbrt-cube
33×prod-exp
23×add-sqr-sqrt
21×*-un-lft-identity
19×associate-*r*
18×associate-*l*
16×div-exp
15×cbrt-unprod
12×associate-*r/
11×add-cube-cbrt
unpow-prod-down
pow1 cbrt-undiv
unswap-sqr
pow-to-exp flip3-+ pow-exp flip-+ distribute-lft-out
distribute-rgt-in distribute-lft-in cube-prod associate-/r/ add-log-exp difference-of-squares
*-commutative unpow2 sqr-pow
frac-times sub-neg flip3-- times-frac pow-prod-down flip-- div-inv associate-/l/
frac-2neg associate-*l/ clear-num associate-/r* sum-cubes associate-/l*
Counts
4 → 135
Calls
4 calls:
14.0ms
(* x (+ (pow x 3) (pow y 3)))
9.0ms
(* (pow x 2) (- (pow x 2) (* y y)))
26.0ms
(* (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ (pow x 3) (pow y 3)))) (+ (* x x) (- (* y y) (* x y))))
20.0ms
(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ (pow x 3) (pow y 3))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (+ (pow x 3) (pow y 3)))
56.0ms
(* (pow x 2) (- (pow x 2) (* y y)))
143.0ms
(* (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ (pow x 3) (pow y 3)))) (+ (* x x) (- (* y y) (* x y))))
67.0ms
(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ (pow x 3) (pow y 3))))

simplify40.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
07581739
150011384

prune335.0ms

Filtered
147 candidates to 88 candidates (59.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh000
Picked011
Done022
Total1473150

Merged error: 0.0b

Counts
150 → 3

regimes66.0ms

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
094
194

end0.0ms

sample482.0ms

Algorithm
intervals
Results
312.0ms11188×body80valid

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