Details

Time bar (total: 7.5s)

analyze256.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
6.2%93.6%0.2%5
6.2%68.6%25.1%6
6.2%49.9%43.9%7
6.2%35.9%57.9%8
6.2%25.3%68.4%9
6.2%20.1%73.7%10
6.2%15.7%78.1%11
6.2%12%81.7%12
6.2%9%84.8%13
6.2%7.5%86.3%14

sample140.0ms

Algorithm
intervals
Results
68.0ms177×body640valid
33.0ms353×body80nan
12.0ms45×body320valid
3.0ms18×body160valid
1.0ms14×body80valid
1.0ms2×body1280valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0588031

prune18.0ms

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: 5.4b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

2.9b
(- (sqrt (+ x 1.0)) (sqrt x))
3.2b
(- (sqrt (+ y 1.0)) (sqrt y))
3.6b
(- (sqrt (+ t 1.0)) (sqrt t))
4.1b
(- (sqrt (+ z 1.0)) (sqrt z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity sqrt-prod
16×difference-of-squares
12×distribute-lft-out-- add-log-exp
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out
Counts
4 → 72
Calls
4 calls:
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

series39.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
10.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
11.0ms
(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms
(- (sqrt (+ z 1.0)) (sqrt z))

simplify29.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
051191364

prune235.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New79584
Fresh101
Picked101
Done000
Total81586

Merged error: 0.7b

Counts
86 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
2.9b
(- (sqrt (+ x 1.0)) (sqrt x))
3.2b
(- (sqrt (+ y 1.0)) (sqrt y))
3.6b
(- (sqrt (+ t 1.0)) (sqrt t))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
44×sqrt-prod
40×add-sqr-sqrt
30×distribute-lft-out
24×times-frac
16×add-cube-cbrt
12×difference-of-squares
10×add-log-exp
9×distribute-lft-out--
6×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l*
3×sub-neg flip3-- diff-log flip--
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 104
Calls
4 calls:
12.0ms
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
8.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms
(- (sqrt (+ t 1.0)) (sqrt t))

series40.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
10.0ms
(- (sqrt (+ x 1.0)) (sqrt x))
10.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
12.0ms
(- (sqrt (+ t 1.0)) (sqrt t))

simplify40.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052511783

prune280.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1133116
Fresh224
Picked101
Done000
Total1165121

Merged error: 0.4b

Counts
121 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))
0.2b
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
3.2b
(- (sqrt (+ y 1.0)) (sqrt y))
3.6b
(- (sqrt (+ t 1.0)) (sqrt t))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
52×sqrt-prod
45×distribute-lft-out
43×add-sqr-sqrt
42×times-frac
27×add-cube-cbrt
12×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp difference-of-squares
7×associate-/l*
6×distribute-lft-out--
4×pow1 associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv associate-/l/
Counts
4 → 127
Calls
4 calls:
9.0ms
(/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))
12.0ms
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
8.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms
(- (sqrt (+ t 1.0)) (sqrt t))

series40.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))
9.0ms
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
9.0ms
(- (sqrt (+ y 1.0)) (sqrt y))
10.0ms
(- (sqrt (+ t 1.0)) (sqrt t))

simplify59.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
048892086
148892086

prune338.0ms

Filtered
89 candidates to 139 candidates (-56.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1354139
Fresh224
Picked101
Done000
Total1386144

Merged error: 0.1b

Counts
144 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))
0.1b
(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
0.2b
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
3.6b
(- (sqrt (+ t 1.0)) (sqrt t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
60×times-frac sqrt-prod distribute-lft-out
46×add-sqr-sqrt
38×add-cube-cbrt
18×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
6×associate-/r/ add-log-exp
4×pow1 flip3-+ flip-+ difference-of-squares
3×cbrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out--
2×associate-/l/
1×sub-neg flip3-- diff-log flip--
Counts
4 → 150
Calls
4 calls:
11.0ms
(/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))
9.0ms
(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
12.0ms
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
8.0ms
(- (sqrt (+ t 1.0)) (sqrt t))

series37.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))
9.0ms
(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
9.0ms
(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
10.0ms
(- (sqrt (+ t 1.0)) (sqrt t))

simplify47.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050302399

prune342.0ms

Filtered
100 candidates to 162 candidates (-62.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1602162
Fresh145
Picked101
Done000
Total1626168

Merged error: 0.0b

Counts
168 → 6

regimes819.0ms

Accuracy

0% (0.0b 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 (0.0ms)

IterNodesCost
04239
14239

end0.0ms

analyze255.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
6.2%93.6%0.2%5
6.2%68.6%25.1%6
6.2%49.9%43.9%7
6.2%35.9%57.9%8
6.2%25.3%68.4%9
6.2%20.1%73.7%10
6.2%15.7%78.1%11
6.2%12%81.7%12
6.2%9%84.8%13
6.2%7.5%86.3%14

sample4.2s

Algorithm
intervals
Results
2.1s5260×body640valid
943.0ms9558×body80nan
453.0ms1529×body320valid
90.0ms464×body160valid
75.0ms149×body1280valid
58.0ms598×body80valid

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