Details

Time bar (total: 4.3s)

sample112.0ms

Algorithm
intervals
Results
47.0ms103×body1280valid
18.0ms71×body640valid
16.0ms285×body80valid
7.0ms39×body320valid
2.0ms20×body160valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1627
21087
31777
42797
57707
610757
715997
835857
947127
1050017

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (- 0.0 im)) (exp im))
0.0b
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
associate-*r* add-log-exp
add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
flip3-+ associate-*r/ flip-+ distribute-lft-out
+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
10.0ms
(+ (exp (- 0.0 im)) (exp im))
11.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (exp (- 0.0 im)) (exp im))
15.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0265349
11200295
25001294

prune86.0ms

Filtered
41 candidates to 28 candidates (31.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New40141
Fresh000
Picked011
Done000
Total40242

Merged error: 0b

Counts
42 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* re (pow im 2)))
0.0b
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
0.1b
(* 0.16666666666666666 (pow re 3))
7.9b
(* re (pow im 2))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×add-exp-log
21×associate-*r*
13×prod-exp add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
associate-*l* add-log-exp
unpow-prod-down unswap-sqr
pow1
cbrt-unprod
cube-prod sqr-pow
pow-to-exp pow-exp *-commutative
diff-log unpow2
cube-mult sub-neg flip3-- unpow3 pow-prod-down associate--l+ sum-log flip--
Counts
4 → 91
Calls
4 calls:
5.0ms
(* 0.5 (* re (pow im 2)))
8.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
6.0ms
(* 0.16666666666666666 (pow re 3))
5.0ms
(* re (pow im 2))

series29.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* 0.5 (* re (pow im 2)))
11.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
4.0ms
(* 0.16666666666666666 (pow re 3))
7.0ms
(* re (pow im 2))

simplify54.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0344512
11501453
25001445

prune321.0ms

Filtered
103 candidates to 60 candidates (41.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done011
Total1032105

Merged error: 0b

Counts
105 → 2

regimes229.0ms

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
0147
1147

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.3s3034×body1280valid
656.0ms2504×body640valid
472.0ms8545×body80valid
224.0ms1289×body320valid
76.0ms634×body160valid

Profiling

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