Details

Time bar (total: 3.2s)

analyze540.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms38×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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))

series10.0ms

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

simplify98.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune22.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
2.2b
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
2.9b
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
38.8b
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
8.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
7.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
6.0ms
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
16.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
62.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
14.0ms
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
51.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

simplify161.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
05541992
132501869
250031864

prune198.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh000
Picked011
Done011
Total1203123

Merged error: 0b

Counts
123 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
2.2b
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
2.9b
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
39.0b
(/ (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))) (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/r*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+ associate-/l*
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
8.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
7.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
7.0ms
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
18.0ms
(/ (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))) (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
45.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
16.0ms
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
39.0ms
(/ (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))) (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

simplify112.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
05001971
127921821
250011818

prune195.0ms

Filtered
90 candidates to 120 candidates (-33.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done022
Total1203123

Merged error: 0b

Counts
123 → 3

regimes354.0ms

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

analyze537.0ms

Algorithm
search

sample477.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid
34.0ms1363×body80invalid

Profiling

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