Details

Time bar (total: 1.7s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
6.0ms256×pre80true

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

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

rewrite10.0ms

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))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ a b) (+ a b))

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0189213
1902188
25001170

prune49.0ms

Filtered
43 candidates to 19 candidates (44.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New40343
Fresh000
Picked101
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a (+ a b)) (* b (+ a b)))
0.0b
(* b (+ a b))
0.0b
(* a (+ 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:
7.0ms
(+ (* a (+ a b)) (* b (+ a b)))
6.0ms
(* b (+ a b))
6.0ms
(* a (+ a b))

series80.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* a (+ a b)) (* b (+ a b)))
26.0ms
(* b (+ a b))
30.0ms
(* a (+ a b))

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0349386
11962333
25001331

prune104.0ms

Filtered
75 candidates to 50 candidates (66.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh112
Picked011
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ a (+ a b))
0.0b
(+ (* a a) (* b (+ a (+ a b))))
0.0b
(* 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:
5.0ms
(+ a (+ a b))
4.0ms
(+ (* a a) (* b (+ a (+ a b))))
8.0ms
(* b (+ a (+ a b)))

series86.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ a (+ a b))
23.0ms
(+ (* a a) (* b (+ a (+ a b))))
41.0ms
(* b (+ a (+ a b)))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0252301
11187261
25001244

prune73.0ms

Filtered
61 candidates to 39 candidates (63.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done011
Total61364

Merged error: 0b

Counts
64 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* a b))
0.0b
(+ (* a a) (- (* b b) (* a b)))
0.3b
(* (+ a b) (+ (pow a 3) (pow b 3)))
0.6b
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
14×flip3-+ flip-+
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
associate-*r*
frac-times add-cube-cbrt associate-/l/
pow1 distribute-lft-out
unpow-prod-down cube-prod associate-*r/ associate-*l* associate-*l/
times-frac associate-/r*
cbrt-undiv sub-neg associate-+r+ diff-log div-exp prod-exp sum-log associate-/r/ cbrt-unprod
+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 94
Calls
4 calls:
3.0ms
(- (* b b) (* a b))
6.0ms
(+ (* a a) (- (* b b) (* a b)))
17.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
24.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* b b) (* a b))
26.0ms
(+ (* a a) (- (* b b) (* a b)))
51.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
61.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify88.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0521953
13046824
25002818

prune250.0ms

Filtered
106 candidates to 76 candidates (71.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh000
Picked011
Done022
Total1063109

Merged error: 0b

Counts
109 → 3

regimes26.0ms

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
0115
1115

end0.0ms

sample415.0ms

Algorithm
intervals
Results
168.0ms8000×pre80true
120.0ms8000×body80valid

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