Details

Time bar (total: 2.4s)

sample25.0ms

Algorithm
intervals
Results
9.0ms336×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

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))

simplify73.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune28.0ms

Filtered
15 candidates to 12 candidates (20.0%)
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:

0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

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:
9.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
35.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
36.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
37.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify99.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
03091087
110951021
24525951
35001932

prune102.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh101
Picked101
Done011
Total1002102

Merged error: 0.0b

Counts
102 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

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.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
35.0ms
(cbrt (- (* 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)))

simplify116.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (109.0ms)

IterNodesCost
0178592
1521556
21583540
34212528
45002520

prune93.0ms

Filtered
64 candidates to 56 candidates (12.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh000
Picked011
Done011
Total63366

Merged error: 0.0b

Counts
66 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (+ (* x.re y.re) (* x.im y.im)))
2.8b
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
27.5b
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

rewrite70.0ms

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

series152.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
34.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
28.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
44.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

simplify54.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0362695
11348638
25001621

prune95.0ms

Filtered
65 candidates to 58 candidates (10.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh000
Picked011
Done022
Total65368

Merged error: 0.0b

Counts
68 → 3

regimes410.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
193

end0.0ms

sample665.0ms

Algorithm
intervals
Results
293.0ms10456×body80valid

Profiling

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