Details

Time bar (total: 1.5s)

sample15.0ms

Algorithm
intervals
Results
4.0ms256×pre80true
3.0ms256×body80valid

simplify15.0ms

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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×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))

simplify39.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0189213
1902188
25001170

prune44.0ms

Filtered
43 candidates to 19 candidates (44.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
6×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
4×associate-*r/
2×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* a (+ a b))
9.0ms
(* b (+ a b))

series53.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* a (+ a b))
26.0ms
(* b (+ a b))

simplify34.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0195170
11012152
25001152

prune61.0ms

Filtered
52 candidates to 32 candidates (61.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh011
Picked011
Done011
Total52355

Merged error: 0b

Counts
55 → 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
(* (+ (* 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)))

rewrite92.0ms

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
8×associate-*r/ associate-*l/ associate-/r/ associate-/l/
6×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv distribute-rgt-in associate-+l+ distribute-lft-in div-exp sum-cubes
2×sub-neg pow-prod-down *-commutative unswap-sqr
1×+-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))
35.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
13.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
27.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* b (- b a)) (pow a 2))
56.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
57.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
61.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

simplify134.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
07352051
144611691
250011620

prune319.0ms

Filtered
159 candidates to 92 candidates (57.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done022
Total1593162

Merged error: 0b

Counts
162 → 3

regimes57.0ms

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

sample337.0ms

Algorithm
intervals
Results
113.0ms8000×pre80true
99.0ms8000×body80valid