Details

Time bar (total: 1.6s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
4.0ms256×body80valid

simplify13.0ms

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))

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0189213
1902188
25001170

prune39.0ms

Filtered
19 candidates to 43 candidates (-126.3%)
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
(* b (+ a b))
0.0b
(* a (+ a b))
0.0b
(+ (* a (+ a b)) (* b (+ a b)))

rewrite19.0ms

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:
5.0ms
(* b (+ a b))
5.0ms
(* a (+ a b))
7.0ms
(+ (* a (+ a b)) (* b (+ a b)))

series15.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0349386
11962333
25001331

prune64.0ms

Filtered
50 candidates to 75 candidates (-50.0%)
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
(* b (+ a (+ a b)))
0.0b
(+ (* a a) (* b (+ a (+ a b))))

rewrite17.0ms

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))
7.0ms
(* b (+ a (+ a b)))
4.0ms
(+ (* a a) (* b (+ a (+ a b))))

series16.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0252301
11187261
25001244

prune48.0ms

Filtered
39 candidates to 61 candidates (-56.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done011
Total61364

Merged error: 0b

Counts
64 → 3

localize16.0ms

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

rewrite87.0ms

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:
7.0ms
(+ (* b (- b a)) (pow a 2))
34.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
26.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
13.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* b (- b a)) (pow a 2))
13.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
11.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
15.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

simplify136.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
07352051
144571691
250011620

prune326.0ms

Filtered
92 candidates to 159 candidates (-72.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done022
Total1593162

Merged error: 0b

Counts
162 → 3

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

sample514.0ms

Algorithm
intervals
Results
184.0ms8000×pre80true
127.0ms8000×body80valid

Profiling

Loading profile data...