Details

Time bar (total: 2.8s)

sample319.0ms

Algorithm
intervals
Results
18.0ms702×body80nan
8.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:
34.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0181216
1610206
22471201
35002201

prune67.0ms

Filtered
37 candidates to 25 candidates (67.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New34337
Fresh000
Picked101
Done000
Total35338

Merged error: 0b

Counts
38 → 3

localize8.0ms

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

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0b

Counts
3 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
70×sqrt-pow1
47×pow-prod-down
38×add-sqr-sqrt
33×pow1/2
32×sqrt-div
29×sqrt-prod
20×*-un-lft-identity associate-*l* associate-*l/
16×add-cube-cbrt associate-*r*
14×pow-prod-up
10×add-exp-log add-cbrt-cube
9×flip3-- flip-- unswap-sqr
8×pow-sqr
4×frac-times swap-sqr add-log-exp
3×sqrt-unprod prod-exp *-commutative cbrt-unprod
2×associate-*r/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 148
Calls
4 calls:
7.0ms
(sqrt (* (sqrt (- x 1.0)) (sqrt x)))
9.0ms
(* (sqrt (- x 1.0)) (sqrt x))
9.0ms
(* (sqrt (- x 1.0)) (sqrt x))
21.0ms
(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (* (sqrt (- x 1.0)) (sqrt x)))
63.0ms
(* (sqrt (- x 1.0)) (sqrt x))
62.0ms
(* (sqrt (- x 1.0)) (sqrt x))
66.0ms
(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

simplify68.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0421960
11862890
25002878

prune255.0ms

Filtered
160 candidates to 93 candidates (58.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh011
Picked011
Done011
Total1603163

Merged error: 0b

Counts
163 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

32.4b
(sqrt (* (- x 1.0) x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1
2×sqrt-pow1 sqrt-div associate-*l/
1×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube flip-- add-log-exp
Counts
1 → 13
Calls
1 calls:
7.0ms
(sqrt (* (- x 1.0) x))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(sqrt (* (- x 1.0) x))

simplify155.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
011174
128169
298368
3376366
4500166

prune24.0ms

Filtered
16 candidates to 13 candidates (81.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319

Merged error: 0b

Counts
19 → 3

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample1.2s

Algorithm
intervals
Results
635.0ms24809×body80nan
228.0ms7994×body80valid
0.0ms6×body160valid

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