Details

Time bar (total: 3.2s)

analyze554.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms40×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x.re y.im) (* x.im y.re))

series10.0ms

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

simplify116.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune22.0ms

Filtered
12 candidates to 14 candidates (-16.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
34.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
37.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify94.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
03121087
110631022
24259952
35001933

prune104.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh000
Picked011
Done011
Total974101

Merged error: 0.0b

Counts
101 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify107.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (100.0ms)

IterNodesCost
0178592
1485556
21440540
33985528
45003520

prune88.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468

Merged error: 0.0b

Counts
68 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
24.0b
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip3-+ flip-- flip-+
1×difference-of-squares
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
5.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
41.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

simplify45.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0342685
11142641
25001620

prune85.0ms

Filtered
61 candidates to 65 candidates (-6.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh000
Picked011
Done033
Total65469

Merged error: 0.0b

Counts
69 → 4

regimes384.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

analyze537.0ms

Algorithm
search

sample494.0ms

Algorithm
intervals
Results
215.0ms8000×body80valid
41.0ms1369×body80invalid

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