Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
4.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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
(* (+ 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))

simplify37.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0189213
1902188
25001170

prune40.0ms

Filtered
43 candidates to 19 candidates (55.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New40343
Fresh000
Picked101
Done000
Total41344

Merged error: 0.0b

Counts
44 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* a (+ a b))
0.0b
(+ (* a (+ a b)) (* b (+ a b)))
0.0b
(* 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
(* a (+ a b))
6.0ms
(+ (* a (+ a b)) (* b (+ a b)))
6.0ms
(* b (+ a b))

series17.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* a (+ a b))
6.0ms
(+ (* a (+ a b)) (* b (+ a b)))
4.0ms
(* b (+ a b))

simplify61.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0349386
11969333
25003331

prune69.0ms

Filtered
75 candidates to 50 candidates (33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh202
Picked011
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-log-exp
add-sqr-sqrt
distribute-lft-out
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
sum-log
associate-+r+ flip3-+ associate-*l* flip-+
+-commutative distribute-rgt-in distribute-lft-in associate-*r/
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 52
Calls
3 calls:
7.0ms
(* b (+ a (+ a b)))
5.0ms
(+ a (+ a b))
4.0ms
(+ (* a a) (* b (+ a (+ a b))))

series15.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* b (+ a (+ a b)))
4.0ms
(+ a (+ a b))
6.0ms
(+ (* a a) (* b (+ a (+ a b))))

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0252301
11187261
25001244

prune50.0ms

Filtered
61 candidates to 39 candidates (36.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done011
Total61364

Merged error: 0b

Counts
64 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* a (+ (pow a 3) (pow b 3)))
0.3b
(/ (* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3))))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
0.3b
(* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3)))))
0.5b
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
57×flip3-+ flip-+
32×frac-times
24×frac-add
22×add-exp-log add-cbrt-cube
20×*-un-lft-identity associate-/l/
16×add-sqr-sqrt associate-*r*
10×pow1 add-cube-cbrt
associate-*l*
associate-*l/ associate-/r/
prod-exp cbrt-unprod
distribute-lft-out
cbrt-undiv unpow-prod-down cube-prod div-exp add-log-exp
distribute-rgt-in distribute-lft-in pow-prod-down *-commutative unswap-sqr
distribute-rgt-out frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv associate-/l*
Counts
4 → 146
Calls
4 calls:
17.0ms
(* a (+ (pow a 3) (pow b 3)))
37.0ms
(/ (* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3))))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
25.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3)))))
15.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

series67.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* a (+ (pow a 3) (pow b 3)))
17.0ms
(/ (* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3))))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
30.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3)))))
12.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

simplify61.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011473272
150012838

prune719.0ms

Filtered
158 candidates to 125 candidates (20.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh000
Picked011
Done022
Total1583161

Merged error: 0b

Counts
161 → 3

regimes77.0ms

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 (1.0ms)

IterNodesCost
0105
1105

end0.0ms

sample488.0ms

Algorithm
intervals
Results
174.0ms8000×pre80true
131.0ms8000×body80valid

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