Details

Time bar (total: 2.1s)

analyze114.0ms

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%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14

sample34.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03711
13711

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* 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 unswap-sqr
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
6.0ms
(* y (+ (* x 2.0) y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
5.0ms
(* y (+ (* x 2.0) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05035439

prune54.0ms

Filtered
31 candidates to 41 candidates (-32.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342

Merged error: 0b

Counts
42 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y y) (* (* x 2.0) y))
0.9b
(+ (* y (pow (* x 2.0) 3)) (pow y 4))
3.1b
(* y (pow (* x 2.0) 3))
24.9b
(/ (+ (* y (pow (* x 2.0) 3)) (pow y 4)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity
9×times-frac
8×associate-*r* add-cbrt-cube add-log-exp
5×prod-exp
4×pow1
3×flip3-+ associate-*l* associate-/r* flip-+ associate-/l*
2×pow-exp associate-/r/ associate-/l/ unswap-sqr sqr-pow
1×cbrt-undiv +-commutative cube-mult pow-to-exp sub-neg unpow-prod-down flip3-- distribute-rgt-out-- frac-2neg diff-log unpow3 cube-prod div-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv
Counts
4 → 80
Calls
4 calls:
4.0ms
(- (* y y) (* (* x 2.0) y))
6.0ms
(+ (* y (pow (* x 2.0) 3)) (pow y 4))
5.0ms
(* y (pow (* x 2.0) 3))
16.0ms
(/ (+ (* y (pow (* x 2.0) 3)) (pow y 4)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* y y) (* (* x 2.0) y))
9.0ms
(+ (* y (pow (* x 2.0) 3)) (pow y 4))
12.0ms
(* y (pow (* x 2.0) 3))
19.0ms
(/ (+ (* y (pow (* x 2.0) 3)) (pow y 4)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051061688

prune203.0ms

Filtered
71 candidates to 92 candidates (-29.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done011
Total92395

Merged error: 0b

Counts
95 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0)))))
0.2b
(* y (* (+ y (* x 2.0)) (+ y (* x 2.0))))
1.5b
(- (pow x 4) (* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0))))))
29.1b
(/ (- (pow x 4) (* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0)))))) (- (* x x) (* y (+ y (* x 2.0)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
28×distribute-rgt-in distribute-lft-in associate-*r/
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×flip3-+ flip-+
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×frac-times associate--r+
6×associate-*l* add-log-exp
4×associate-*l/
3×flip3-- associate-/r* flip-- associate-/l*
2×associate-*r* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 119
Calls
4 calls:
12.0ms
(* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0)))))
9.0ms
(* y (* (+ y (* x 2.0)) (+ y (* x 2.0))))
6.0ms
(- (pow x 4) (* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0))))))
9.0ms
(/ (- (pow x 4) (* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0)))))) (- (* x x) (* y (+ y (* x 2.0)))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0)))))
6.0ms
(* y (* (+ y (* x 2.0)) (+ y (* x 2.0))))
17.0ms
(- (pow x 4) (* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0))))))
20.0ms
(/ (- (pow x 4) (* y (* y (* (+ y (* x 2.0)) (+ y (* x 2.0)))))) (- (* x x) (* y (+ y (* x 2.0)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050342781

prune205.0ms

Filtered
89 candidates to 131 candidates (-47.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done022
Total1313134

Merged error: 0b

Counts
134 → 3

regimes90.0ms

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 (1.0ms)

IterNodesCost
01211
11211

end0.0ms

sample1.0s

Algorithm
intervals
Results
276.0ms8000×body80valid

Profiling

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