Details

Time bar (total: 1.7s)

analyze70.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1254
2274
3274

prune9.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 2.0) (* x x))
0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
7.0ms
(+ (* x 2.0) (* x x))
11.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x 2.0) (* x x))
10.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify98.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0182191
1887164
23634160
35002160

prune40.0ms

Filtered
23 candidates to 31 candidates (-34.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh011
Picked011
Done000
Total30333

Merged error: 0.0b

Counts
33 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(+ (* y y) (* x (+ 2.0 x)))
6.0ms
(* x (+ 2.0 x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* y y) (* x (+ 2.0 x)))
4.0ms
(* x (+ 2.0 x))

simplify32.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206183
11038169
25002169

prune47.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh011
Picked101
Done011
Total42345

Merged error: 0b

Counts
45 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.1b
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.5b
(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
28.6b
(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×*-un-lft-identity
20×add-exp-log add-cbrt-cube
18×pow-prod-down
17×add-sqr-sqrt
16×associate-*r/
15×add-cube-cbrt
12×times-frac
9×distribute-rgt-in distribute-lft-in flip3-+ prod-exp cbrt-unprod flip-+
8×add-log-exp
6×distribute-lft-out
5×associate-*r*
4×frac-times associate-+l+ distribute-neg-in associate-*l* pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×neg-sub0 associate-+l- pow-plus associate-*l/ sum-log associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative pow2 flip3-- frac-2neg div-sub swap-sqr div-exp neg-log clear-num flip-- div-inv unswap-sqr
Counts
4 → 123
Calls
4 calls:
5.0ms
(* x (+ 2.0 x))
11.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
8.0ms
(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
23.0ms
(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* x (+ 2.0 x))
3.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
12.0ms
(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
19.0ms
(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify86.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05251318
129651157
250011141

prune173.0ms

Filtered
80 candidates to 135 candidates (-68.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done011
Total1353138

Merged error: 0b

Counts
138 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow y 2) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))
0.2b
(pow (+ (pow y 2) (* x (+ 2.0 x))) 3)
38.8b
(cbrt (pow (+ (pow y 2) (* x (+ 2.0 x))) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow associate-*l*
2×distribute-rgt-in cube-mult cbrt-div associate-+r+ distribute-lft-in unpow3 associate-*r/ sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative rem-cbrt-cube cbrt-unprod distribute-lft-out rem-cube-cbrt unswap-sqr
Counts
4 → 84
Calls
4 calls:
5.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
6.0ms
(* x (+ 2.0 x))
5.0ms
(pow (+ (pow y 2) (* x (+ 2.0 x))) 3)
7.0ms
(cbrt (pow (+ (pow y 2) (* x (+ 2.0 x))) 3))

series41.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
4.0ms
(* x (+ 2.0 x))
23.0ms
(pow (+ (pow y 2) (* x (+ 2.0 x))) 3)
7.0ms
(cbrt (pow (+ (pow y 2) (* x (+ 2.0 x))) 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0348617
11852580
25001574

prune153.0ms

Filtered
56 candidates to 96 candidates (-71.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399

Merged error: 0b

Counts
99 → 3

regimes193.0ms

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
0115
1115

end0.0ms

analyze70.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14

sample384.0ms

Algorithm
intervals
Results
256.0ms8000×body80valid
0.0ms2×body80invalid

Profiling

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