Details

Time bar (total: 1.2s)

analyze60.0ms

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
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms2×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02287
12287

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite8.0ms

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×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(- 1.0 (* x y))
5.0ms
(* x (- 1.0 (* x y)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* x y))
7.0ms
(* x (- 1.0 (* x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04942331
14942331

prune65.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh000
Picked101
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* x (neg y))))
0.2b
(* x (* x (neg y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×distribute-rgt-neg-out add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 32
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* x (* x (neg y))))
5.0ms
(* x (* x (neg y)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* x (* x (neg y))))
4.0ms
(* x (* x (neg y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04867297
14867297

prune45.0ms

Filtered
23 candidates to 38 candidates (-65.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh336
Picked011
Done000
Total40545

Merged error: 0.0b

Counts
45 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x x) (neg y)))
9.9b
(* (* x x) (neg y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-neg-out
1×+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x x) (neg y)))
6.0ms
(* (* x x) (neg y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* (* x x) (neg y)))
5.0ms
(* (* x x) (neg y))

simplify46.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04965348
14965348

prune52.0ms

Filtered
29 candidates to 45 candidates (-55.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh033
Picked011
Done011
Total44650

Merged error: 0.0b

Counts
50 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x y)))
0.0b
(sqrt (- 1.0 (* x y)))
0.1b
(* x (sqrt (- 1.0 (* x y))))
0.1b
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* x y)))
2.0ms
(sqrt (- 1.0 (* x y)))
6.0ms
(* x (sqrt (- 1.0 (* x y))))
10.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (- 1.0 (* x y)))
14.0ms
(sqrt (- 1.0 (* x y)))
21.0ms
(* x (sqrt (- 1.0 (* x y))))
7.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050051151

prune124.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done022
Total956101

Merged error: 0.0b

Counts
101 → 6

regimes140.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0469
1469

end0.0ms

sample306.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid
2.0ms101×body80invalid

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