Details

Time bar (total: 3.5s)

analyze352.0ms

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
50%50%0.1%5
50%50%0.1%6
50%37.5%12.6%7
50%37.5%12.6%8
50%31.2%18.8%9
50%31.2%18.8%10
50%28.1%22%11
50%28.1%22%12
50%26.5%23.5%13
50%26.5%23.5%14

sample89.0ms

Algorithm
intervals
Results
24.0ms47×body1280valid
13.0ms38×body1280invalid
9.0ms42×body640invalid
9.0ms32×body640valid
7.0ms132×body80valid
5.0ms31×body320valid
5.0ms14×body160valid
4.0ms23×body320invalid
1.0ms12×body160invalid
1.0ms11×body80invalid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0543911

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b
(+ (exp (neg im)) (exp im))

rewrite15.0ms

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:
9.0ms
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms
(+ (exp (neg im)) (exp im))

series18.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
4.0ms
(+ (exp (neg im)) (exp im))

simplify55.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05312437

prune38.0ms

Filtered
27 candidates to 41 candidates (-51.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New40141
Fresh000
Picked101
Done000
Total41142

Merged error: 0.0b

Counts
42 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp im) 2)
0.0b
(pow (exp im) 3)
0.0b
(pow (exp im) -3)
6.6b
(+ (pow (exp im) 2) -1)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
12×pow-pow
10×unpow-prod-down
pow-unpow exp-prod
pow1
add-log-exp
add-cbrt-cube
add-exp-log difference-of-sqr--1 sqr-pow
pow-to-exp cube-prod pow-exp
unpow2
+-commutative cube-mult flip3-+ unpow3 sum-log flip-+ distribute-lft-out rem-cube-cbrt
Counts
4 → 83
Calls
4 calls:
3.0ms
(pow (exp im) 2)
3.0ms
(pow (exp im) 3)
3.0ms
(pow (exp im) -3)
7.0ms
(+ (pow (exp im) 2) -1)

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (exp im) 2)
5.0ms
(pow (exp im) 3)
7.0ms
(pow (exp im) -3)
4.0ms
(+ (pow (exp im) 2) -1)

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05072519

prune140.0ms

Filtered
59 candidates to 95 candidates (-61.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done000
Total95196

Merged error: 0.0b

Counts
96 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02526
12526

end0.0ms

sample2.6s

Algorithm
intervals
Results
748.0ms1461×body1280valid
483.0ms1427×body1280invalid
338.0ms1258×body640valid
266.0ms1202×body640invalid
230.0ms4283×body80valid
113.0ms663×body320valid
97.0ms595×body320invalid
37.0ms335×body160valid
33.0ms307×body160invalid
30.0ms506×body80invalid

Profiling

Loading profile data...