Details

Time bar (total: 2.0s)

sample16.0ms

Algorithm
intervals
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

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

localize5.0ms

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))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(* (+ a b) (+ a b))

simplify35.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0189213
1902188
25001170

prune46.0ms

Filtered
43 candidates to 19 candidates (44.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

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

series76.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* b (+ a b))
25.0ms
(+ (* a (+ a b)) (* b (+ a b)))
26.0ms
(* a (+ a b))

simplify59.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0349386
11962333
25002331

prune91.0ms

Filtered
75 candidates to 49 candidates (65.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New74175
Fresh112
Picked011
Done011
Total75479

Merged error: 0b

Counts
79 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (* a (+ a b)) 3)) (* b (+ a b)))
0.0b
(* a (+ a b))
0.5b
(cbrt (pow (* a (+ a b)) 3))
0.7b
(pow (* a (+ a b)) 3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*r/
10×add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube
cube-div cbrt-prod add-cube-cbrt flip3-+ flip-+
cbrt-div add-log-exp
associate-*r* frac-add
pow-unpow associate-*l*
distribute-rgt-in cube-mult unpow-prod-down associate-+r+ pow-pow distribute-lft-in unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
+-commutative pow-to-exp pow1/3 sum-log *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 83
Calls
4 calls:
7.0ms
(+ (cbrt (pow (* a (+ a b)) 3)) (* b (+ a b)))
6.0ms
(* a (+ a b))
2.0ms
(cbrt (pow (* a (+ a b)) 3))
6.0ms
(pow (* a (+ a b)) 3)

series111.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (cbrt (pow (* a (+ a b)) 3)) (* b (+ a b)))
26.0ms
(* a (+ a b))
29.0ms
(cbrt (pow (* a (+ a b)) 3))
34.0ms
(pow (* a (+ a b)) 3)

simplify71.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0416558
12328472
25001466

prune144.0ms

Filtered
95 candidates to 64 candidates (67.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done022
Total95499

Merged error: 0b

Counts
99 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* b (- b a)) (pow a 2))
0.4b
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
0.5b
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
0.6b
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
46×distribute-lft-out
40×unpow-prod-down cube-prod
25×flip3-+ flip-+
23×swap-sqr
20×add-exp-log add-cbrt-cube
16×frac-times
14×add-sqr-sqrt
13×pow1
12×associate-*r* associate-*l*
10×add-cube-cbrt
associate-*r/ associate-*l/ associate-/r/ associate-/l/
prod-exp cbrt-unprod add-log-exp
cbrt-undiv distribute-rgt-in associate-+l+ distribute-lft-in div-exp sum-cubes
sub-neg pow-prod-down *-commutative unswap-sqr
+-commutative pow2 frac-2neg times-frac pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 147
Calls
4 calls:
8.0ms
(+ (* b (- b a)) (pow a 2))
40.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
14.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
26.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* b (- b a)) (pow a 2))
55.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
51.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
64.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

simplify135.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
07352051
144611691
250011620

prune316.0ms

Filtered
159 candidates to 92 candidates (57.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done033
Total1594163

Merged error: 0b

Counts
163 → 4

regimes69.0ms

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

sample410.0ms

Algorithm
intervals
Results
167.0ms8000×pre80true
113.0ms8000×body80valid

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