Details

Time bar (total: 1.5s)

analyze102.0ms

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

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
03713
13713

prune2.0ms

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: 14.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

13.6b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
7×*-un-lft-identity_binary64
4×associate-/l*_binary64 times-frac_binary64
3×cbrt-unprod_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 prod-exp_binary64 add-sqr-sqrt_binary64 div-exp_binary64
2×associate-/l/_binary64 distribute-lft-out_binary64
1×flip3-+_binary64 associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 flip-+_binary64
Counts
1 → 27
Calls
1 calls:
11.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05356451

prune28.0ms

Filtered
19 candidates to 30 candidates (-57.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New26430
Fresh000
Picked101
Done000
Total27431

Merged error: 0b

Counts
31 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
6×times-frac_binary64
5×distribute-lft-out_binary64
3×add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
2×div-inv_binary64
1×flip3-+_binary64 pow1_binary64 frac-add_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 17
Calls
1 calls:
12.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

simplify145.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (132.0ms)

IterNodesCost
05099274

prune26.0ms

Filtered
15 candidates to 20 candidates (-33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19120
Fresh213
Picked011
Done000
Total21324

Merged error: 0b

Counts
24 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b
(/.f64 (+.f64 x y) y)
6.6b
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
227×times-frac_binary64
130×*-un-lft-identity_binary64
86×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
61×add-exp-log_binary64
40×associate-/r*_binary64
35×add-cbrt-cube_binary64 div-exp_binary64
22×distribute-lft-out_binary64
18×cbrt-undiv_binary64
13×div-inv_binary64
8×prod-exp_binary64 associate-/l*_binary64
6×associate-/r/_binary64
5×1-exp_binary64 rec-exp_binary64
4×pow1_binary64 cbrt-unprod_binary64
3×add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64
2×associate-/l/_binary64
1×flip3-+_binary64 inv-pow_binary64 pow-flip_binary64 flip-+_binary64
Counts
3 → 205
Calls
3 calls:
12.0ms
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
6.0ms
(/.f64 (+.f64 x y) y)
11.0ms
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

series90.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
16.0ms
(/.f64 (+.f64 x y) y)
41.0ms
(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

simplify138.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049524028
149524028

prune99.0ms

Filtered
123 candidates to 214 candidates (-74.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2140214
Fresh011
Picked011
Done011
Total2143217

Merged error: 0b

Counts
217 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
0.3b
(pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 y)) 3)
39.0b
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 y)) 3))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity_binary64
30×times-frac_binary64
25×distribute-lft-out_binary64
22×cbrt-prod_binary64
19×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×unpow-prod-down_binary64 cube-prod_binary64
10×div-inv_binary64
6×cube-div_binary64
5×add-log-exp_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×cbrt-div_binary64 flip3-+_binary64 pow-unpow_binary64 frac-add_binary64 flip-+_binary64
2×sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 pow-pow_binary64 rem-cube-cbrt_binary64 +-commutative_binary64 pow-exp_binary64 sum-log_binary64
Counts
3 → 87
Calls
3 calls:
13.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
14.0ms
(pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 y)) 3)
14.0ms
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 y)) 3))

series77.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
34.0ms
(pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 y)) 3)
26.0ms
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 y)) 3))

simplify100.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049481594
149481594

prune49.0ms

Filtered
52 candidates to 96 candidates (-84.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399

Merged error: 0b

Counts
99 → 3

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms

sample353.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid
0.0ms2×body80invalid

Profiling

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