Details

Time bar (total: 0.0hr)

sample0.0hr

Algorithm
intervals
Results
0.0hr110×body1280valid
0.0hr80×body640valid
0.0hr34×body320valid
0.0hr13×body160valid
0.0hr19×body80valid

simplify0.0hr

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0hr)

IterNodesCost
02012
12112
22112

prune0.0hr

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: 0.9b

Counts
2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b
(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.6b
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
3.8b
(cos (- lambda1 lambda2))
4.1b
(sin (- lambda1 lambda2))

rewrite0.0hr

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
cos-diff
sub-neg cos-sum associate-+r+ sin-sum
+-commutative distribute-rgt-in distribute-lft-in flip3-+ sum-log sin-diff flip-+
Counts
4 → 40
Calls
4 calls:
0.0hr
(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.0hr
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(sin (- lambda1 lambda2))

series0.0hr

Counts
4 → 12
Calls
4 calls:
0.0hr
(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.0hr
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(sin (- lambda1 lambda2))

simplify0.0hr

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (0.0hr)

IterNodesCost
0205421
1508374
21327374
33685374
45001374

prune0.0hr

Filtered
52 candidates to 42 candidates (19.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New401252
Fresh000
Picked101
Done000
Total411253

Merged error: 0.7b

Counts
53 → 12

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.2b
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.6b
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
3.8b
(cos (- lambda1 lambda2))

rewrite0.0hr

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
distribute-rgt-in cos-diff sub-neg distribute-lft-in associate-*r* associate-*l*
cos-sum associate-+r+ associate-*r/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
4 → 54
Calls
4 calls:
0.0hr
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.0hr
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.0hr
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.0hr
(cos (- lambda1 lambda2))

series0.0hr

Counts
4 → 12
Calls
4 calls:
0.0hr
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.0hr
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.0hr
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.0hr
(cos (- lambda1 lambda2))

simplify0.0hr

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (0.0hr)

IterNodesCost
0289748
11037658
24438658
35002658

prune0.0hr

Filtered
66 candidates to 48 candidates (27.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New64266
Fresh11011
Picked101
Done000
Total661278

Merged error: 0.1b

Counts
78 → 12

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.2b
(* (sin lambda1) (sin lambda2))
0.2b
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
0.7b
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

rewrite0.0hr

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l* add-log-exp
distribute-rgt-in distribute-lft-in
sub-neg associate-+r+ associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
+-commutative flip3-- flip3-+ sum-log flip-- flip-+ sin-mult
Counts
4 → 63
Calls
4 calls:
0.0hr
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.0hr
(* (sin lambda1) (sin lambda2))
0.0hr
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
0.0hr
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

series0.0hr

Counts
4 → 12
Calls
4 calls:
0.0hr
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.0hr
(* (sin lambda1) (sin lambda2))
0.0hr
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
0.0hr
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

simplify0.0hr

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 1 (0.0hr)

IterNodesCost
0345962
11380833
25001833

prune0.0hr

Filtered
75 candidates to 52 candidates (30.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New72375
Fresh3811
Picked101
Done000
Total761187

Merged error: 0.1b

Counts
87 → 11

localize0.0hr

Local error

Found 4 expressions with local error:

3.8b
(cos (- lambda1 lambda2))
3.8b
(cos (- lambda1 lambda2))
3.8b
(cos (- lambda1 lambda2))
4.1b
(sin (- lambda1 lambda2))

rewrite0.0hr

Algorithm
rewrite-expression-head
Rules
cos-sum
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube add-log-exp
cos-diff
sin-sum
sin-diff
Counts
4 → 40
Calls
4 calls:
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(sin (- lambda1 lambda2))

series0.0hr

Counts
4 → 12
Calls
4 calls:
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(cos (- lambda1 lambda2))
0.0hr
(sin (- lambda1 lambda2))

simplify0.0hr

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 4 (0.0hr)

IterNodesCost
083235
1149215
2390215
31141215
45001212

prune0.0hr

Filtered
52 candidates to 40 candidates (23.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh1910
Picked011
Done000
Total511263

Merged error: 0.1b

Counts
63 → 12

regimes0.0hr

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0hr

simplify0.0hr

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0hr)

IterNodesCost
02830
12830

end0.0hr

sample0.0hr

Algorithm
intervals
Results
0.0hr3581×body1280valid
0.0hr2363×body640valid
0.0hr945×body320valid
0.0hr416×body160valid
0.0hr695×body80valid

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