Details

Time bar (total: 34.7s)

analyze6.3s

Algorithm
search

sample545.0ms

Algorithm
intervals
Results
375.0ms140×body1280valid
107.0ms68×body640valid
29.0ms26×body320valid
6.0ms17×body80valid
3.0msbody160valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05638
19838
218238
330938
460938
5216938
6500138

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.6b

Counts
2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))
3.7b
(sin (/ (- phi1 phi2) 2.0))
3.7b
(sin (/ (- phi1 phi2) 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-sub sin-diff add-cbrt-cube add-log-exp
Counts
4 → 32
Calls
4 calls:
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- phi1 phi2) 2.0))
8.0ms
(sin (/ (- phi1 phi2) 2.0))

series22.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- phi1 phi2) 2.0))
6.0ms
(sin (/ (- phi1 phi2) 2.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0102248
1170216
2356216
3692216
42118216
55001216

prune327.0ms

Filtered
40 candidates to 44 candidates (-10.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New311344
Fresh000
Picked101
Done000
Total321345

Merged error: 22.5b

Counts
45 → 13

localize51.0ms

Local error

Found 4 expressions with local error:

2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))
3.7b
(sin (/ (- phi1 phi2) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-sub sin-diff add-cbrt-cube add-log-exp
Counts
4 → 32
Calls
4 calls:
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- phi1 phi2) 2.0))

series22.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- phi1 phi2) 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0102248
1170216
2356216
3692216
42118216
55001216

prune401.0ms

Filtered
40 candidates to 44 candidates (-10.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New37744
Fresh11112
Picked101
Done000
Total391857

Merged error: 14.0b

Counts
57 → 18

localize45.0ms

Local error

Found 4 expressions with local error:

2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-sub sin-diff add-cbrt-cube add-log-exp
Counts
4 → 32
Calls
4 calls:
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))

series22.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))

simplify197.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
054248
189216
2188216
3373216
41242216
54970216
65002216

prune466.0ms

Filtered
40 candidates to 44 candidates (-10.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New38644
Fresh41317
Picked101
Done000
Total431962

Merged error: 14.0b

Counts
62 → 19

localize52.0ms

Local error

Found 4 expressions with local error:

2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.6b
(sin (/ (- lambda1 lambda2) 2.0))
2.9b
(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1
add-exp-log div-sub log-pow sin-diff add-cbrt-cube add-log-exp
log-prod exp-prod
log-div exp-diff rem-log-exp
Counts
4 → 40
Calls
4 calls:
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
5.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
091298
1150260
2292260
3578260
41948260
55001260

prune335.0ms

Filtered
46 candidates to 52 candidates (-13.0%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh11718
Picked011
Done000
Total512071

Merged error: 14.0b

Counts
71 → 20

regimes2.1s

Accuracy

0% (0.4b remaining)

Error of 13.6b against oracle of 13.2b and baseline of 13.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04856
14856

end0.0ms

analyze6.5s

Algorithm
search

sample16.9s

Algorithm
intervals
Results
12.4s4783×body1280valid
3.1s1890×body640valid
609.0ms561×body320valid
169.0ms566×body80valid
144.0ms200×body160valid

Profiling

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