Details

Time bar (total: 1.4s)

analyze66.0ms

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
50%50%0.1%6
56.2%37.5%6.3%7
68.7%25%6.3%8
71.8%18.7%9.5%9
78%12.5%9.5%10
79.6%9.4%11%11
82.7%6.2%11%12
83.6%4.6%11.8%13
85.1%3.1%11.8%14

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms1×body80invalid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
064211
164211

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y 1.0))
0.0b
(- (* x (- y 1.0)) (* y 0.5))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×sub-neg associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ associate--l+ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(* x (- y 1.0))
6.0ms
(- (* x (- y 1.0)) (* y 0.5))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (- y 1.0))
5.0ms
(- (* x (- y 1.0)) (* y 0.5))

simplify46.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04944375
14944375

prune48.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

2.8b
(* x (* x (* (- y 1.0) (- y 1.0))))
3.4b
(* x (* (- y 1.0) (- y 1.0)))
5.2b
(- (* x (* x (* (- y 1.0) (- y 1.0)))) (* y (* y (* 0.5 0.5))))
29.2b
(/ (- (* x (* x (* (- y 1.0) (- y 1.0)))) (* y (* y (* 0.5 0.5)))) (+ (* x (- y 1.0)) (* y 0.5)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
28×distribute-rgt-in distribute-lft-in associate-*r/
21×sub-neg
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt flip3-- *-un-lft-identity flip--
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×frac-times associate--l+
6×associate-*l* add-log-exp
4×associate-*l/
3×associate-/r* associate-/l*
2×associate-*r* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv unswap-sqr
Counts
4 → 119
Calls
4 calls:
13.0ms
(* x (* x (* (- y 1.0) (- y 1.0))))
11.0ms
(* x (* (- y 1.0) (- y 1.0)))
15.0ms
(- (* x (* x (* (- y 1.0) (- y 1.0)))) (* y (* y (* 0.5 0.5))))
22.0ms
(/ (- (* x (* x (* (- y 1.0) (- y 1.0)))) (* y (* y (* 0.5 0.5)))) (+ (* x (- y 1.0)) (* y 0.5)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (* x (* (- y 1.0) (- y 1.0))))
6.0ms
(* x (* (- y 1.0) (- y 1.0)))
13.0ms
(- (* x (* x (* (- y 1.0) (- y 1.0)))) (* y (* y (* 0.5 0.5))))
24.0ms
(/ (- (* x (* x (* (- y 1.0) (- y 1.0)))) (* y (* y (* 0.5 0.5)))) (+ (* x (- y 1.0)) (* y 0.5)))

simplify36.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
053642485

prune183.0ms

Filtered
88 candidates to 131 candidates (-48.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done011
Total1313134

Merged error: 0b

Counts
134 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (- y 1.0)) (* y 0.5))
0.0b
(sqrt (- (* x (- y 1.0)) (* y 0.5)))
0.0b
(sqrt (- (* x (- y 1.0)) (* y 0.5)))
0.3b
(* (sqrt (- (* x (- y 1.0)) (* y 0.5))) (sqrt (- (* x (- y 1.0)) (* y 0.5))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×sub-neg pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/ associate--l+
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
6.0ms
(- (* x (- y 1.0)) (* y 0.5))
6.0ms
(sqrt (- (* x (- y 1.0)) (* y 0.5)))
6.0ms
(sqrt (- (* x (- y 1.0)) (* y 0.5)))
16.0ms
(* (sqrt (- (* x (- y 1.0)) (* y 0.5))) (sqrt (- (* x (- y 1.0)) (* y 0.5))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x (- y 1.0)) (* y 0.5))
20.0ms
(sqrt (- (* x (- y 1.0)) (* y 0.5)))
22.0ms
(sqrt (- (* x (- y 1.0)) (* y 0.5)))
5.0ms
(* (sqrt (- (* x (- y 1.0)) (* y 0.5))) (sqrt (- (* x (- y 1.0)) (* y 0.5))))

simplify63.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049401638
149401638

prune134.0ms

Filtered
66 candidates to 112 candidates (-69.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done022
Total1123115

Merged error: 0b

Counts
115 → 3

regimes140.0ms

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
04711
14711

end0.0ms

sample371.0ms

Algorithm
intervals
Results
241.0ms7998×body80valid
2.0ms76×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid

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