Details

Time bar (total: 2.6s)

sample290.0ms

Algorithm
intervals
Results
6.0ms78×body1280valid
4.0ms181×body80valid
3.0ms47×body640valid
1.0ms25×body320valid
0.0ms11×body160valid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1374
21034
32204
43874
55274
68034
716024
828614
943404
1048034
1150014

prune3.0ms

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: 37.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
3.3b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
9×pow1 add-sqr-sqrt
6×add-cube-cbrt flip3-+ swap-sqr flip-+ distribute-lft-out
4×add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+
1×pow2 sub-neg flip3-- pow-plus diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 55
Calls
2 calls:
8.0ms
(* (+ x 1.0) (+ x 1.0))
11.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series77.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ x 1.0) (+ x 1.0))
60.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0234303
1999270
25001261

prune74.0ms

Filtered
61 candidates to 34 candidates (55.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh000
Picked101
Done000
Total60262

Merged error: 0.0b

Counts
62 → 2

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ 2.0 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×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
1 → 23
Calls
1 calls:
6.0ms
(* x (+ 2.0 x))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* x (+ 2.0 x))

simplify77.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
012385
159476
2293776
3500176

prune31.0ms

Filtered
26 candidates to 16 candidates (61.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New25126
Fresh011
Picked101
Done000
Total26228

Merged error: 0b

Counts
28 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x 2.0) (pow x 2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out unpow2
Counts
1 → 12
Calls
1 calls:
5.0ms
(+ (* x 2.0) (pow x 2))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(+ (* x 2.0) (pow x 2))

simplify45.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
08977
133563
2114659
3500159

prune21.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15015
Fresh011
Picked011
Done000
Total15217

Merged error: 0b

Counts
17 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ x 1.0) (+ (pow (+ x 1.0) 3) (* 1.0 (+ x 1.0))))
0.1b
(pow (+ x 1.0) 6)
3.2b
(+ (neg (pow 1.0 3)) (pow (+ x 1.0) 6))
11.9b
(/ (+ (neg (pow 1.0 3)) (pow (+ x 1.0) 6)) (+ (* (+ x 1.0) (+ (pow (+ x 1.0) 3) (* 1.0 (+ x 1.0)))) (* 1.0 1.0)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×flip3-+ flip-+
20×add-sqr-sqrt
18×add-cube-cbrt associate-*r/
15×times-frac
12×cube-div frac-times frac-add distribute-lft-out
9×add-exp-log
8×add-cbrt-cube add-log-exp
7×pow1
5×distribute-rgt-neg-in associate-/l*
4×unpow-prod-down associate-*r* associate-*l*
3×pow-unpow associate-/r*
2×neg-sub0 associate-+l- associate-*l/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in pow-to-exp distribute-rgt-out pow-pow frac-2neg distribute-lft-in unpow3 div-sub div-exp pow-prod-down neg-log pow-exp prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr sqr-pow
Counts
4 → 115
Calls
4 calls:
16.0ms
(* (+ x 1.0) (+ (pow (+ x 1.0) 3) (* 1.0 (+ x 1.0))))
4.0ms
(pow (+ x 1.0) 6)
16.0ms
(+ (neg (pow 1.0 3)) (pow (+ x 1.0) 6))
39.0ms
(/ (+ (neg (pow 1.0 3)) (pow (+ x 1.0) 6)) (+ (* (+ x 1.0) (+ (pow (+ x 1.0) 3) (* 1.0 (+ x 1.0)))) (* 1.0 1.0)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ x 1.0) (+ (pow (+ x 1.0) 3) (* 1.0 (+ x 1.0))))
35.0ms
(pow (+ x 1.0) 6)
54.0ms
(+ (neg (pow 1.0 3)) (pow (+ x 1.0) 6))
436.0ms
(/ (+ (neg (pow 1.0 3)) (pow (+ x 1.0) 6)) (+ (* (+ x 1.0) (+ (pow (+ x 1.0) 3) (* 1.0 (+ x 1.0)))) (* 1.0 1.0)))

simplify151.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08021834
147171719
250021719

prune324.0ms

Filtered
127 candidates to 94 candidates (74.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done011
Total1272129

Merged error: 0b

Counts
129 → 2

regimes22.0ms

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
083
183

end0.0ms

sample519.0ms

Algorithm
intervals
Results
170.0ms2298×body1280valid
94.0ms1629×body640valid
89.0ms5508×body80valid
36.0ms834×body320valid
13.0ms446×body160valid

Profiling

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