Details

Time bar (total: 2.8s)

sample31.0ms

Algorithm
intervals
Results
11.0ms343×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune4.0ms

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
add-log-exp
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))

simplify69.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune33.0ms

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))))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (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)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
37.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
39.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
37.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify100.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
03091087
110951021
24525951
35001932

prune339.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0b

Counts
102 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
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)))
5.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
40.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
39.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
38.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify117.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (111.0ms)

IterNodesCost
0178592
1521556
21583540
34212528
45002520

prune262.0ms

Filtered
64 candidates to 56 candidates (12.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468

Merged error: 0b

Counts
68 → 4

localize8.0ms

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))))
1.5b
(sqrt (- (* x.re y.re) (* x.im y.im)))
1.5b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite27.0ms

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
flip3-- flip--
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
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))
12.0ms
(* (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)))
6.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series66.0ms

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))))
22.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
22.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0254782
1958722
25002700

prune202.0ms

Filtered
111 candidates to 66 candidates (40.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done033
Total1114115

Merged error: 0b

Counts
115 → 4

regimes399.0ms

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

sample697.0ms

Algorithm
intervals
Results
252.0ms10550×body80valid

Profiling

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