Details

Time bar (total: 2.0s)

analyze532.0ms

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

sample29.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms55×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
01577
11577

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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 → 11
Calls
1 calls:
4.0ms
(- (* x.re y.re) (* x.im y.im))

series10.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05477145

prune19.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))
0.2b
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.6b
(sqrt (- (* x.re y.re) (* x.im y.im)))
1.6b
(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 → 98
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)))
4.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (* x.re y.re) (* x.im y.im))
18.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
34.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
24.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify34.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052911344

prune86.0ms

Filtered
67 candidates to 110 candidates (-64.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh000
Picked101
Done011
Total1102112

Merged error: 0.0b

Counts
112 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b
(sqrt (- (* x.re y.re) (* x.im y.im)))
2.2b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
4.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
4.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
4.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
36.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
38.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
36.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05082870

prune80.0ms

Filtered
57 candidates to 66 candidates (-15.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh000
Picked011
Done011
Total66268

Merged error: 0.0b

Counts
68 → 2

regimes324.0ms

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 (1.0ms)

IterNodesCost
0357
1357

end0.0ms

sample463.0ms

Algorithm
intervals
Results
205.0ms8000×body80valid
33.0ms1396×body80invalid

Profiling

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