Details

Time bar (total: 1.0s)

analyze107.0ms

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
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (130.0ms)

IterNodesCost
053717

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 1 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-log-exp_binary64
distribute-lft-out_binary64 times-frac_binary64
flip3-+_binary64 pow1_binary64 frac-add_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 14
Calls
1 calls:
13.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify56.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05015163

prune11.0ms

Filtered
12 candidates to 17 candidates (-41.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16117
Fresh101
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.1b
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.1b
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.2b
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity_binary64
40×sqrt-prod_binary64
30×sqrt-div_binary64
28×add-sqr-sqrt_binary64
21×pow1_binary64
16×distribute-lft-out_binary64
14×add-cube-cbrt_binary64 times-frac_binary64
12×swap-sqr_binary64
11×flip3-+_binary64 frac-add_binary64 flip-+_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
frac-times_binary64
associate-*r*_binary64 associate-*l*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-up_binary64
unswap-sqr_binary64
pow-prod-down_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
rem-sqrt-square_binary64
cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 +-commutative_binary64 pow2_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 122
Calls
4 calls:
16.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
13.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
31.0ms
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
16.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
16.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
5.0ms
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

simplify65.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049411616
149411616

prune68.0ms

Filtered
74 candidates to 134 candidates (-81.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done011
Total1342136

Merged error: 0.0b

Counts
136 → 2

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms

sample354.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid
0.0msbody80invalid

Profiling

Loading profile data...