Details

Time bar (total: 2.1s)

analyze557.0ms

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
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
25%74.9%0.2%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms46×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp_binary64
1×flip3-+_binary64 *-un-lft-identity_binary64 pow1_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 → 11
Calls
1 calls:
4.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

simplify81.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04869141
14869141

prune14.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im))
0.3b
(*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))
0.8b
(-.f64 (*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re)))
26.0b
(/.f64 (-.f64 (*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1_binary64
34×pow-prod-down_binary64
30×add-exp-log_binary64 add-cbrt-cube_binary64
16×cbrt-unprod_binary64 prod-exp_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
12×times-frac_binary64
8×pow-prod-up_binary64 pow-sqr_binary64
6×add-log-exp_binary64
5×difference-of-squares_binary64
4×pow-plus_binary64 associate-/l*_binary64
3×associate-/r*_binary64 flip3--_binary64 flip--_binary64
2×associate-/l/_binary64 swap-sqr_binary64 associate-*r*_binary64 associate-/r/_binary64 associate-*l*_binary64 pow2_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 116
Calls
4 calls:
7.0ms
(*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im))
7.0ms
(*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))
8.0ms
(-.f64 (*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re)))
13.0ms
(/.f64 (-.f64 (*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im))
7.0ms
(*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))
32.0ms
(-.f64 (*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re)))
31.0ms
(/.f64 (-.f64 (*.f64 (*.f64 x.re y.im) (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))

simplify47.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049891318
149891318

prune54.0ms

Filtered
68 candidates to 128 candidates (-88.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1262128
Fresh011
Picked101
Done011
Total1274131

Merged error: 0.0b

Counts
131 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
0.3b
(pow.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) 3)
33.8b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×unpow-prod-down_binary64 cube-prod_binary64
5×add-log-exp_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64
3×flip3-+_binary64 pow-unpow_binary64 flip-+_binary64
2×cbrt-div_binary64 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 → 59
Calls
3 calls:
4.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
5.0ms
(pow.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) 3)
5.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) 3))

series56.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
36.0ms
(pow.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) 3)
10.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04949806
14949806

prune26.0ms

Filtered
40 candidates to 68 candidates (-70.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done011
Total68472

Merged error: 0.0b

Counts
72 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.im y.im))) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re)))
5.5b
(*.f64 x.re (*.f64 x.re (*.f64 y.im y.im)))
9.7b
(*.f64 x.re (*.f64 y.im y.im))
26.0b
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.im y.im))) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log_binary64 add-cbrt-cube_binary64
18×pow1_binary64
15×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64
6×add-log-exp_binary64 associate-*l*_binary64
3×associate-/r*_binary64 flip3--_binary64 associate-/l*_binary64 flip--_binary64
2×associate-/l/_binary64 associate-*r*_binary64 associate-/r/_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 83
Calls
4 calls:
8.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.im y.im))) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re)))
7.0ms
(*.f64 x.re (*.f64 x.re (*.f64 y.im y.im)))
6.0ms
(*.f64 x.re (*.f64 y.im y.im))
13.0ms
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.im y.im))) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.im y.im))) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re)))
7.0ms
(*.f64 x.re (*.f64 x.re (*.f64 y.im y.im)))
7.0ms
(*.f64 x.re (*.f64 y.im y.im))
32.0ms
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.im y.im))) (*.f64 (*.f64 x.im y.re) (*.f64 x.im y.re))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))

simplify28.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
049531396
149531396

prune32.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done022
Total95499

Merged error: 0.0b

Counts
99 → 4

regimes307.0ms

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
0107
1107

end0.0ms

sample485.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
41.0ms1393×body80invalid

Profiling

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