Details

Time bar (total: 1.1s)

analyze67.0ms

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
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms2×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03807
13807

prune7.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×distribute-rgt-in add-cube-cbrt distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 48
Calls
2 calls:
6.0ms
(* x (- x y))
7.0ms
(* 2.0 (* x (- x y)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* x (- x y))
6.0ms
(* 2.0 (* x (- x y)))

simplify30.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04963399
14963399

prune45.0ms

Filtered
31 candidates to 54 candidates (-74.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New52254
Fresh011
Picked101
Done000
Total53356

Merged error: 0b

Counts
56 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
9.0ms
(* (* 2.0 x) (- x y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (* 2.0 x) (- x y))

simplify39.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05107220

prune26.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh022
Picked011
Done000
Total27330

Merged error: 0b

Counts
30 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×flip3-- associate-*r/ flip-- distribute-lft-out--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(- (* x x) (* x y))
6.0ms
(* 2.0 (- (* x x) (* x y)))

series12.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04939341
14939341

prune40.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done011
Total41344

Merged error: 0b

Counts
44 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (* (sqrt (* x (- x y))) (sqrt (* x (- x y)))))
0.1b
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
6.5b
(sqrt (* x (- x y)))
6.5b
(sqrt (* x (- x y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
64×pow1
40×associate-*r/
32×sqrt-pow1
28×sqrt-div
25×pow-prod-down
14×flip3-- flip--
12×add-sqr-sqrt pow1/2
11×add-exp-log add-cbrt-cube
10×pow-prod-up
9×add-cube-cbrt *-un-lft-identity
8×frac-times
7×associate-*l*
6×sqrt-prod pow-sqr
5×associate-*r*
4×swap-sqr associate-*l/ prod-exp cbrt-unprod add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 110
Calls
4 calls:
19.0ms
(* 2.0 (* (sqrt (* x (- x y))) (sqrt (* x (- x y)))))
13.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
4.0ms
(sqrt (* x (- x y)))
4.0ms
(sqrt (* x (- x y)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* 2.0 (* (sqrt (* x (- x y))) (sqrt (* x (- x y)))))
6.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
9.0ms
(sqrt (* x (- x y)))
9.0ms
(sqrt (* x (- x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04971999
14971999

prune96.0ms

Filtered
76 candidates to 122 candidates (-60.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done022
Total1223125

Merged error: 0b

Counts
125 → 3

regimes134.0ms

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
0187
1187

end0.0ms

sample363.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
5.0ms163×body80invalid

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