Details

Time bar (total: 1.0s)

analyze50.0ms

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
25%74.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
0.0msbody80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0125
1125

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (+.f64 x y) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
distribute-lft-out_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 associate-+l+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
Counts
1 → 15
Calls
1 calls:
6.0ms
(+.f64 (+.f64 x y) x)

series5.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05128116

prune14.0ms

Filtered
11 candidates to 18 candidates (-63.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x (+.f64 x y)))
0.0b
(+.f64 x (+.f64 x y))
0.0b
(+.f64 x (+.f64 x y))
0.3b
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity_binary64
43×sqrt-prod_binary64
33×distribute-lft-out_binary64
26×add-sqr-sqrt_binary64
20×pow1_binary64
16×swap-sqr_binary64
14×add-log-exp_binary64 sqrt-div_binary64
13×add-cube-cbrt_binary64
flip3-+_binary64 pow1/2_binary64 sqrt-pow1_binary64 flip-+_binary64
associate-*r*_binary64 associate-*l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 sum-log_binary64
pow-prod-up_binary64
unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-sqr_binary64
associate-*r/_binary64 +-commutative_binary64 associate-+r+_binary64 associate-*l/_binary64
cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-sqrt-square_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 116
Calls
4 calls:
5.0ms
(sqrt.f64 (+.f64 x (+.f64 x y)))
6.0ms
(+.f64 x (+.f64 x y))
6.0ms
(+.f64 x (+.f64 x y))
15.0ms
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt.f64 (+.f64 x (+.f64 x y)))
4.0ms
(+.f64 x (+.f64 x y))
4.0ms
(+.f64 x (+.f64 x y))
9.0ms
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050221024

prune62.0ms

Filtered
63 candidates to 128 candidates (-103.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh000
Picked011
Done011
Total1273130

Merged error: 0.0b

Counts
130 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) 5) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))))
0.2b
(cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y))))
0.2b
(cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y))))
0.5b
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) 5)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
56×cbrt-prod_binary64
46×add-sqr-sqrt_binary64
44×*-un-lft-identity_binary64
33×sqrt-prod_binary64
31×unpow-prod-down_binary64
19×add-cube-cbrt_binary64
15×distribute-lft-out_binary64 associate-*l*_binary64 unswap-sqr_binary64
11×associate-*r*_binary64
10×add-exp-log_binary64
cbrt-div_binary64 pow1_binary64 sqrt-div_binary64
sqr-pow_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
flip3-+_binary64 pow-unpow_binary64 pow1/3_binary64 prod-exp_binary64 flip-+_binary64
pow-to-exp_binary64 associate-*r/_binary64 pow-pow_binary64 pow-exp_binary64
cbrt-unprod_binary64 pow-prod-up_binary64 pow-plus_binary64 *-commutative_binary64
Counts
4 → 119
Calls
4 calls:
20.0ms
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) 5) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))))
6.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y))))
6.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y))))
8.0ms
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) 5)

series133.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) 5) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))))
26.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y))))
27.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y))))
69.0ms
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) 5)

simplify69.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049391818
149391818

prune86.0ms

Filtered
84 candidates to 131 candidates (-56.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done022
Total1313134

Merged error: 0.0b

Counts
134 → 3

regimes101.0ms

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
065
165

end0.0ms

sample237.0ms

Algorithm
intervals
Results
123.0ms8000×body80valid
0.0msbody80invalid

Profiling

Loading profile data...