Details

Time bar (total: 3.1s)

analyze587.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms52×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

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.re) (* x.im y.im))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x.re y.re) (* x.im y.im))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(- (* x.re y.re) (* x.im y.im))

simplify75.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune27.0ms

Filtered
12 candidates to 15 candidates (-25.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))
0.3b
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
0.9b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.9b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
3.0ms
(- (* x.re y.re) (* x.im y.im))
11.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* x.re y.re) (* x.im y.im))
11.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
23.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
25.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0254782
1958722
25002700

prune99.0ms

Filtered
67 candidates to 111 candidates (-65.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh011
Picked101
Done011
Total1113114

Merged error: 0b

Counts
114 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))))
0.9b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.9b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.9b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1 sqrt-div
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-- associate-*r* associate-*l* pow-prod-up flip-- unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×frac-times add-log-exp
3×rem-sqrt-square
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
14.0ms
(* (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))))
22.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
24.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
22.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify49.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
02771118
110751047
250011022

prune111.0ms

Filtered
79 candidates to 140 candidates (-77.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done011
Total1403143

Merged error: 0b

Counts
143 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y.re x.re) (* y.im x.im))
0.4b
(pow (- (* y.re x.re) (* y.im x.im)) 3)
32.6b
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 60
Calls
3 calls:
3.0ms
(- (* y.re x.re) (* y.im x.im))
4.0ms
(pow (- (* y.re x.re) (* y.im x.im)) 3)
4.0ms
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series57.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* y.re x.re) (* y.im x.im))
34.0ms
(pow (- (* y.re x.re) (* y.im x.im)) 3)
12.0ms
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0251439
11098414
25002406

prune64.0ms

Filtered
41 candidates to 69 candidates (-68.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done022
Total69372

Merged error: 0b

Counts
72 → 3

regimes424.0ms

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
093
193

end0.0ms

analyze717.0ms

Algorithm
search

sample522.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid
39.0ms1426×body80invalid

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