Details

Time bar (total: 1.6s)

analyze131.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
31.2%50%18.8%7
34.3%43.7%22%8
45.3%26.5%28.2%9
46.8%23.4%29.8%10
48.8%14%37.2%11
49.8%12.1%38.1%12
52.8%7.1%40.1%13
53.3%6.1%40.6%14

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms18×body80invalid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
029911
129911

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x.re (* x.re 3)) (* x.im x.im))
0.2b
(* x.re (* x.re 3))
6.5b
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×sub-neg
2×flip3-- associate-*r/ *-commutative flip--
1×distribute-rgt-in distribute-lft-in diff-log unswap-sqr
Counts
3 → 51
Calls
3 calls:
4.0ms
(- (* x.re (* x.re 3)) (* x.im x.im))
4.0ms
(* x.re (* x.re 3))
7.0ms
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* x.re (* x.re 3)) (* x.im x.im))
3.0ms
(* x.re (* x.re 3))
9.0ms
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))

simplify60.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04965591
14965591

prune85.0ms

Filtered
40 candidates to 60 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56460
Fresh011
Picked101
Done000
Total57562

Merged error: 6.8b

Counts
62 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x.im (* x.re (* x.re 3))) (pow x.im 3))
0.2b
(* x.re (* x.re 3))
6.7b
(* x.im (* x.re (* x.re 3)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r* *-commutative
1×cube-mult sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 51
Calls
3 calls:
7.0ms
(- (* x.im (* x.re (* x.re 3))) (pow x.im 3))
4.0ms
(* x.re (* x.re 3))
6.0ms
(* x.im (* x.re (* x.re 3)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (* x.im (* x.re (* x.re 3))) (pow x.im 3))
3.0ms
(* x.re (* x.re 3))
7.0ms
(* x.im (* x.re (* x.re 3)))

simplify39.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05067515

prune73.0ms

Filtered
33 candidates to 60 candidates (-81.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh134
Picked011
Done000
Total59665

Merged error: 0.0b

Counts
65 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* x.im x.re) (* x.re 3)) (pow x.im 3))
0.2b
(* (* x.im x.re) (* x.re 3))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 33
Calls
2 calls:
7.0ms
(- (* (* x.im x.re) (* x.re 3)) (pow x.im 3))
6.0ms
(* (* x.im x.re) (* x.re 3))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* (* x.im x.re) (* x.re 3)) (pow x.im 3))
8.0ms
(* (* x.im x.re) (* x.re 3))

simplify41.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05100400

prune47.0ms

Filtered
20 candidates to 39 candidates (-95.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh224
Picked011
Done011
Total40545

Merged error: 0.0b

Counts
45 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* x.im (* x.re x.re)) 3) (pow x.im 3))
0.1b
(* (* x.im (* x.re x.re)) 3)
6.7b
(* x.im (* x.re x.re))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×*-commutative
1×sub-neg flip3-- diff-log flip-- unswap-sqr
Counts
3 → 51
Calls
3 calls:
8.0ms
(- (* (* x.im (* x.re x.re)) 3) (pow x.im 3))
7.0ms
(* (* x.im (* x.re x.re)) 3)
5.0ms
(* x.im (* x.re x.re))

series23.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (* (* x.im (* x.re x.re)) 3) (pow x.im 3))
7.0ms
(* (* x.im (* x.re x.re)) 3)
6.0ms
(* x.im (* x.re x.re))

simplify48.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05012524

prune60.0ms

Filtered
33 candidates to 60 candidates (-81.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New59160
Fresh022
Picked011
Done022
Total59665

Merged error: 0.0b

Counts
65 → 6

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

analyze128.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
31.2%50%18.8%7
34.3%43.7%22%8
45.3%26.5%28.2%9
46.8%23.4%29.8%10
48.8%14%37.2%11
49.8%12.1%38.1%12
52.8%7.1%40.1%13
53.3%6.1%40.6%14

sample529.0ms

Algorithm
intervals
Results
367.0ms8000×body80valid
27.0ms614×body80invalid

Profiling

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