Details

Time bar (total: 3.8s)

sample111.0ms

Algorithm
intervals
Results
45.0ms88×body1280valid
21.0ms79×body640valid
17.0ms278×body80valid
7.0ms40×body320valid
2.0ms20×body160valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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)))

rewrite19.0ms

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:
7.0ms
(+ (exp (- 0.0 im)) (exp im))
11.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (exp (- 0.0 im)) (exp im))
18.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0265349
11200295
25001294

prune54.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New40141
Fresh000
Picked101
Done000
Total41142

Merged error: 0b

Counts
42 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-cbrt-cube
add-exp-log associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* exp-sum *-commutative add-log-exp
sub-neg exp-diff associate-*r/
Counts
2 → 39
Calls
2 calls:
9.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms
(* (* 0.5 (sin re)) (exp im))

series19.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms
(* (* 0.5 (sin re)) (exp im))

simplify33.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0233286
11044228
25001228

prune52.0ms

Filtered
29 candidates to 45 candidates (-55.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done000
Total45146

Merged error: 0b

Counts
46 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s2912×body1280valid
676.0ms2471×body640valid
513.0ms8598×body80valid
222.0ms1226×body320valid
77.0ms628×body160valid

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