Details

Time bar (total: 15.0s)

analyze3.6s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
1.2%98.6%0.2%11
1.4%98.4%0.2%12
10.8%88.9%0.2%13
10.8%88.9%0.2%14

sample297.0ms

Algorithm
intervals
Results
178.0ms97×body1280valid
64.0ms65×body640valid
18.0ms65×body80valid
11.0ms18×body320valid
5.0ms11×body160valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
046233
146233

prune21.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin theta) (sin delta))
0.3b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.3b
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
0.5b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l* add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod sin-mult unswap-sqr
1×sub-neg asin-acos flip3-- diff-log flip--
Counts
4 → 57
Calls
4 calls:
9.0ms
(* (sin theta) (sin delta))
1.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
5.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
4.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (sin theta) (sin delta))
6.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
35.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
45.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify52.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
048921209
148921209

prune162.0ms

Filtered
55 candidates to 69 candidates (-25.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh011
Picked101
Done000
Total64771

Merged error: 0.1b

Counts
71 → 7

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin theta) (sin delta))
0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
0.5b
(- (cos delta) (log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))))))
3.7b
(log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta))))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt log-prod
12×*-un-lft-identity
10×add-cube-cbrt
7×add-exp-log associate--r+
6×pow1 unpow-prod-down add-cbrt-cube
5×add-log-exp
3×asin-acos rem-log-exp associate-*r* associate-*l*
2×log-div sin-diff pow-sub sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-prod-down pow-exp prod-exp log-pow *-commutative flip-- cbrt-unprod sin-mult distribute-lft-out-- associate--r- difference-of-squares unswap-sqr
Counts
4 → 67
Calls
4 calls:
5.0ms
(* (sin theta) (sin delta))
1.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
8.0ms
(- (cos delta) (log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))))))
5.0ms
(log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta))))))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (sin theta) (sin delta))
5.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
61.0ms
(- (cos delta) (log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))))))
56.0ms
(log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta))))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
047791454
147791454

prune156.0ms

Filtered
62 candidates to 79 candidates (-27.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New78179
Fresh066
Picked011
Done000
Total78886

Merged error: 0.1b

Counts
86 → 8

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin theta) (* (sin delta) (cos phi1)))
0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))
0.3b
(* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))))
0.5b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta))))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-commutative
1×sub-neg asin-acos flip3-- diff-log associate-*r/ sin-cos-mult flip-- sin-mult unswap-sqr
Counts
4 → 57
Calls
4 calls:
6.0ms
(* (sin theta) (* (sin delta) (cos phi1)))
1.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))
5.0ms
(* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))))
4.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta))))))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (sin theta) (* (sin delta) (cos phi1)))
5.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))
37.0ms
(* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))))
44.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta))))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051261260

prune135.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh156
Picked101
Done011
Total70777

Merged error: 0.1b

Counts
77 → 7

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin theta) (* (sin delta) (cos phi1)))
0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))
0.5b
(- (cos delta) (log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))))))
3.7b
(log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta))))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×log-prod
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log
9×pow1 add-cube-cbrt add-cbrt-cube
7×associate--r+
6×unpow-prod-down
5×add-log-exp
3×asin-acos rem-log-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×log-div sin-diff pow-sub sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log associate-*r/ associate-*r* pow-exp log-pow *-commutative sin-cos-mult flip-- distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 67
Calls
4 calls:
6.0ms
(* (sin theta) (* (sin delta) (cos phi1)))
1.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))
8.0ms
(- (cos delta) (log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))))))
4.0ms
(log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta))))))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (sin theta) (* (sin delta) (cos phi1)))
5.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))
63.0ms
(- (cos delta) (log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta)))))))))
54.0ms
(log (pow (exp (sin phi1)) (sin (asin (+ (* (cos delta) (sin phi1)) (* (sin delta) (* (cos phi1) (cos theta))))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
048311505
148311505

prune102.0ms

Filtered
61 candidates to 79 candidates (-29.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh055
Picked011
Done011
Total79786

Merged error: 0.1b

Counts
86 → 7

regimes509.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04135
14135

end0.0ms

sample9.1s

Algorithm
intervals
Results
5.8s3151×body1280valid
1.9s1835×body640valid
483.0ms710×body320valid
408.0ms1991×body80valid
144.0ms313×body160valid

Profiling

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