Details

Time bar (total: 1.1s)

analyze1.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms256×pre80true

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1253
2393
3703
41813
56823
624633
750013

prune6.0ms

Filtered
1 candidates to 1 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 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
add-exp-log add-cbrt-cube
pow-prod-up
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (* x (* x x)) (* x x))
5.0ms
(* x (* x x))

series14.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x (* x x)) (* x x))
3.0ms
(* x (* x x))

simplify99.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0158147
1646107
22546106
35001102

prune36.0ms

Filtered
25 candidates to 43 candidates (-72.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh011
Picked011
Done000
Total42345

Merged error: 0b

Counts
45 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*r*
*-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
associate-*r/
distribute-rgt-in distribute-rgt-out distribute-lft-in distribute-lft1-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* x (+ (* x x) x))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* x (+ (* x x) x))

simplify113.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0129117
1713102
23504100
3500299

prune23.0ms

Filtered
18 candidates to 27 candidates (-50.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New27027
Fresh011
Picked011
Done011
Total27330

Merged error: 0b

Counts
30 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (pow x 2) 1) x)
0.0b
(* (pow x 4) (- (+ (pow x 2) 1) x))
52.8b
(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
27×prod-exp
17×add-cbrt-cube
16×*-un-lft-identity div-exp
15×add-sqr-sqrt
pow-to-exp pow-exp
add-log-exp
associate-*l*
add-cube-cbrt associate-*r*
cbrt-unprod
cbrt-undiv unpow-prod-down associate-*r/ distribute-lft-out--
pow1 distribute-rgt-in sub-neg flip3-- distribute-lft-in associate--l+ flip-- unswap-sqr
diff-log associate-*l/ associate-/r/ associate-/l/ distribute-lft-out difference-of-squares sqr-pow
frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log *-commutative flip-+ div-inv associate-/l*
Counts
3 → 90
Calls
3 calls:
10.0ms
(- (+ (pow x 2) 1) x)
13.0ms
(* (pow x 4) (- (+ (pow x 2) 1) x))
19.0ms
(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(- (+ (pow x 2) 1) x)
5.0ms
(* (pow x 4) (- (+ (pow x 2) 1) x))
13.0ms
(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

simplify83.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0422879
12400743
25002740

prune149.0ms

Filtered
53 candidates to 99 candidates (-86.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done022
Total993102

Merged error: 0b

Counts
102 → 3

regimes54.0ms

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
064
164

end0.0ms

analyze1.0ms

Algorithm
search

sample319.0ms

Algorithm
intervals
Results
141.0ms8000×body80valid
95.0ms8000×pre80true

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