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
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0239
1239

prune8.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
4.0ms
(+ (* x 2.0) (* x x))
9.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series11.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05263302

prune41.0ms

Filtered
22 candidates to 31 candidates (-40.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New29231
Fresh101
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 2.0) (+ x 2.0))
0.1b
(* x (* (+ x 2.0) (+ x 2.0)))
1.6b
(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
25.7b
(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
20×add-sqr-sqrt
17×distribute-rgt-in add-cube-cbrt distribute-lft-in
16×pow1
13×add-exp-log add-cbrt-cube
12×flip3-+ associate-*r/ flip-+
9×times-frac
8×frac-times associate--l+
7×associate-*l*
6×swap-sqr distribute-lft-out add-log-exp
5×associate-*r*
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-- associate-/r* flip-- associate-/l*
2×associate-/r/ *-commutative associate-/l/ unswap-sqr
1×cbrt-undiv pow2 sub-neg frac-2neg pow-plus diff-log div-sub div-exp clear-num pow-sqr pow-prod-up div-inv
Counts
4 → 122
Calls
4 calls:
8.0ms
(* (+ x 2.0) (+ x 2.0))
10.0ms
(* x (* (+ x 2.0) (+ x 2.0)))
15.0ms
(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
22.0ms
(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (+ x 2.0) (+ x 2.0))
3.0ms
(* x (* (+ x 2.0) (+ x 2.0)))
12.0ms
(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
18.0ms
(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049612006
149612006

prune209.0ms

Filtered
93 candidates to 134 candidates (-44.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh011
Picked011
Done011
Total1343137

Merged error: 0b

Counts
137 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* x (+ x 2.0)) 3)
0.2b
(* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y)))
1.0b
(+ (pow y 4) (* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y))))
37.2b
(/ (+ (pow (* x (+ x 2.0)) 3) (pow y 6)) (+ (pow y 4) (* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
14×add-exp-log add-cbrt-cube
12×pow1 times-frac
10×distribute-rgt-in distribute-lft-in associate-*r/
8×associate--l+
7×flip3-+ flip-+
6×associate-+r+ add-log-exp
4×frac-times sub-neg pow-prod-down prod-exp cbrt-unprod distribute-lft-out associate-/l*
3×pow-unpow flip3-- associate-*r* associate-/r* flip--
2×cube-div pow-pow associate-*l/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv +-commutative cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod div-exp associate-*l* clear-num sum-log *-commutative div-inv sqr-pow
Counts
4 → 108
Calls
4 calls:
5.0ms
(pow (* x (+ x 2.0)) 3)
15.0ms
(* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y)))
5.0ms
(+ (pow y 4) (* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y))))
13.0ms
(/ (+ (pow (* x (+ x 2.0)) 3) (pow y 6)) (+ (pow y 4) (* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y)))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (* x (+ x 2.0)) 3)
11.0ms
(* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y)))
19.0ms
(+ (pow y 4) (* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y))))
29.0ms
(/ (+ (pow (* x (+ x 2.0)) 3) (pow y 6)) (+ (pow y 4) (* (* x (+ x 2.0)) (- (* x (+ x 2.0)) (* y y)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050182882

prune444.0ms

Filtered
88 candidates to 120 candidates (-36.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done022
Total1203123

Merged error: 0b

Counts
123 → 3

regimes185.0ms

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
01111
11111

end0.0ms

sample347.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid
0.0ms2×body80invalid

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