Details

Time bar (total: 1.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

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 → 12
Calls
1 calls:
3.0ms
(- (* x.re y.re) (* x.im y.im))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(- (* x.re y.re) (* x.im y.im))

simplify72.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune24.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x.im y.im) (* x.im y.im))
0.3b
(* (* x.re y.re) (* x.re y.re))
3.0b
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
24.3b
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×associate-/r*
2×pow2 flip3-- swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* x.im y.im) (* x.im y.im))
6.0ms
(* (* x.re y.re) (* x.re y.re))
9.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
11.0ms
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x.im y.im) (* x.im y.im))
28.0ms
(* (* x.re y.re) (* x.re y.re))
95.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
75.0ms
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify75.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0419968
12372848
25001847

prune159.0ms

Filtered
129 candidates to 67 candidates (51.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh000
Picked101
Done011
Total1292131

Merged error: 0.0b

Counts
131 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x.im y.im) (* x.im y.im))
0.3b
(* (* x.re y.re) (* x.re y.re))
3.0b
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
24.6b
(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
84×pow1
37×add-exp-log
35×pow-prod-down
33×add-cbrt-cube
20×prod-exp
19×add-sqr-sqrt
18×cbrt-unprod
17×associate-*r*
13×*-un-lft-identity
12×add-cube-cbrt
11×times-frac
8×pow-sqr pow-prod-up
6×associate-*l* add-log-exp
4×pow-plus
3×flip3-- *-commutative flip-- unswap-sqr
2×pow2 frac-times swap-sqr div-exp associate-*l/ associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg rec-exp flip3-+ diff-log 1-exp associate-*r/ un-div-inv flip-+ div-inv
Counts
4 → 124
Calls
4 calls:
6.0ms
(* (* x.im y.im) (* x.im y.im))
6.0ms
(* (* x.re y.re) (* x.re y.re))
8.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
15.0ms
(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x.im y.im) (* x.im y.im))
28.0ms
(* (* x.re y.re) (* x.re y.re))
95.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
76.0ms
(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

simplify114.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
04861028
12887868
25001851

prune168.0ms

Filtered
136 candidates to 68 candidates (50.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done011
Total1362138

Merged error: 0.0b

Counts
138 → 2

regimes100.0ms

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

sample525.0ms

Algorithm
intervals
Results
269.0ms10478×body80valid

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