Details

Time bar (total: 1.6s)

analyze10.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify650.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-exp-log pow-prod-down add-cbrt-cube
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
10.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify25.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05093370

prune70.0ms

Filtered
25 candidates to 37 candidates (-48.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New34337
Fresh000
Picked101
Done000
Total35338

Merged error: 0b

Counts
38 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))
0.5b
(* (sqrt (- x 1.0)) (sqrt x))
0.5b
(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
76×pow1
64×sqrt-pow1
44×pow-prod-down
37×add-sqr-sqrt
30×pow1/2
28×sqrt-div sqrt-prod
20×associate-*l*
19×*-un-lft-identity
18×associate-*l/
16×associate-*r*
15×add-cube-cbrt
14×pow-prod-up
9×add-exp-log add-cbrt-cube unswap-sqr
8×flip3-- pow-sqr flip--
4×frac-times swap-sqr
3×sqrt-unprod prod-exp *-commutative cbrt-unprod add-log-exp
2×associate-*r/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus rem-square-sqrt
Counts
3 → 133
Calls
3 calls:
8.0ms
(* (sqrt (- x 1.0)) (sqrt x))
8.0ms
(* (sqrt (- x 1.0)) (sqrt x))
20.0ms
(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (sqrt (- x 1.0)) (sqrt x))
7.0ms
(* (sqrt (- x 1.0)) (sqrt x))
7.0ms
(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

simplify36.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049891331
149891331

prune177.0ms

Filtered
79 candidates to 142 candidates (-79.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh022
Picked011
Done000
Total1423145

Merged error: 0b

Counts
145 → 3

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0b

Counts
3 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- x 1.0))
29.9b
(sqrt (* x (- x 1.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×pow1
6×*-un-lft-identity
5×associate-*r*
4×add-exp-log add-cube-cbrt associate-*r/ add-cbrt-cube
3×associate-*l*
2×sub-neg flip3-- sqrt-pow1 sqrt-div pow-prod-down flip-- add-log-exp
1×distribute-rgt-in distribute-lft-in pow1/2 prod-exp sqrt-prod *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(* x (- x 1.0))
4.0ms
(sqrt (* x (- x 1.0)))

series8.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05047311

prune47.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done022
Total43346

Merged error: 0b

Counts
46 → 3

regimes69.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
1917

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample324.0ms

Algorithm
intervals
Results
234.0ms7995×body80valid
0.0ms5×body160valid
0.0ms4×body80nan

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