Details

Time bar (total: 1.3s)

sample17.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.993962%

Space saved by search: 99.993962%

Guaranteed chance to sample good point: 0%

Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune2.0ms

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
(* (+ a b) (+ a b))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
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
(* (+ a b) (+ a b))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* (+ a b) (+ a b))

simplify41.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0189213
1902188
25001170

prune34.0ms

Filtered
19 candidates to 43 candidates (-126.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(* b (+ a b))
0.0b
(* a (+ a b))
0.0b
(+ (* a (+ a b)) (* b (+ a b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
associate-*r*
pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-*l*
add-log-exp
distribute-rgt-in distribute-lft-in frac-add
associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls
3 calls:
6.0ms
(* b (+ a b))
6.0ms
(* a (+ a b))
7.0ms
(+ (* a (+ a b)) (* b (+ a b)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* b (+ a b))
4.0ms
(* a (+ a b))
9.0ms
(+ (* a (+ a b)) (* b (+ a b)))

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0349386
11962333
25001331

prune62.0ms

Filtered
49 candidates to 75 candidates (-53.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done011
Total75378

Merged error: 0b

Counts
78 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow a 2) (* b (- b a)))
0.2b
(* (- a b) (+ (pow a 2) (* b (- b a))))
0.3b
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
0.3b
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log *-un-lft-identity add-cbrt-cube
16×frac-times
14×add-sqr-sqrt
13×flip3-+ flip-+
12×flip3-- associate-*r* flip--
associate-*l*
pow1 add-cube-cbrt associate-*r/ associate-*l/ associate-/r/ associate-/l/
prod-exp cbrt-unprod add-log-exp
distribute-lft-out
cbrt-undiv distribute-rgt-in unpow-prod-down associate-+r+ distribute-lft-in cube-prod div-exp
sub-neg pow-prod-down *-commutative difference-of-squares unswap-sqr
+-commutative frac-2neg times-frac clear-num associate-/r* sum-log sum-cubes div-inv associate-/l* distribute-lft-out--
Counts
4 → 117
Calls
4 calls:
5.0ms
(+ (pow a 2) (* b (- b a)))
9.0ms
(* (- a b) (+ (pow a 2) (* b (- b a))))
26.0ms
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
17.0ms
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (pow a 2) (* b (- b a)))
10.0ms
(* (- a b) (+ (pow a 2) (* b (- b a))))
17.0ms
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
16.0ms
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

simplify43.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
07941555
150011317

prune259.0ms

Filtered
93 candidates to 129 candidates (-38.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done022
Total1293132

Merged error: 0b

Counts
132 → 3

regimes134.0ms

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
0105
1105

end0.0ms

sample398.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.993962%

Space saved by search: 99.993962%

Guaranteed chance to sample good point: 0%

Results
173.0ms8000×pre80true
115.0ms8000×body80valid

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