Details

Time bar (total: 17.9s)

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

sample294.0ms

Algorithm
intervals
Results
189.0ms104×body1280valid
58.0ms57×body640valid
15.0ms23×body320valid
12.0ms63×body80valid
4.0msbody160valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
046455
146455

prune4.0ms

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: 0.2b

Counts
2 → 1

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sin.f64 theta) (sin.f64 delta))
0.3b
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.3b
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.6b
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
insert-posit16
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 sin-mult_binary64 *-commutative_binary64
sub-neg_binary64 asin-acos_binary64 flip3--_binary64 diff-log_binary64 flip--_binary64
Counts
4 → 61
Calls
4 calls:
6.0ms
(*.f64 (sin.f64 theta) (sin.f64 delta))
2.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
7.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
5.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))

series841.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(*.f64 (sin.f64 theta) (sin.f64 delta))
117.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
150.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
414.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
05751571
15751571
05751571
15751571
021616
121616
03701489
13701489
03701489
13701489
013
113
02191931
12191931
02191931
12191931
02211
12211
0397299
1397299
0397299
1397299
013
113

simplify143.0ms

Counts
73 → 73
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
051181937

prune132.0ms

Filtered
60 candidates to 73 candidates (-21.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New621173
Fresh000
Picked101
Done000
Total631174

Merged error: 0.1b

Counts
74 → 11

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.3b
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.4b
(*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
0.4b
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
19×pow-prod-down_binary64
12×add-sqr-sqrt_binary64 sin-mult_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*r*_binary64 associate-*l*_binary64
add-log-exp_binary64
cos-mult_binary64
pow-prod-up_binary64 pow-sqr_binary64 insert-posit16
associate-*r/_binary64 frac-sub_binary64 associate-*l/_binary64 *-commutative_binary64
pow-plus_binary64 unswap-sqr_binary64 sub-div_binary64 frac-times_binary64
sub-neg_binary64 flip3--_binary64 swap-sqr_binary64 diff-log_binary64 sqr-cos-a_binary64 difference-of-squares_binary64 flip--_binary64 pow2_binary64 associate--l+_binary64
Counts
4 → 97
Calls
4 calls:
7.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
8.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
16.0ms
(*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
11.0ms
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
147.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
176.0ms
(*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
238.0ms
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07851601
17851601
07851601
17851601
076
176
05231507
15231507
05231507
15231507
013
113
03671489
13671489
03671489
13671489
013
113
03671489
13671489
03671489
13671489
013
113

simplify104.0ms

Counts
109 → 109
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
058964897

prune174.0ms

Filtered
65 candidates to 109 candidates (-67.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1063109
Fresh3710
Picked101
Done000
Total11010120

Merged error: 0.1b

Counts
120 → 10

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
0.4b
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
0.4b
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3)
18.4b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
18×pow-prod-down_binary64
12×sin-mult_binary64
cbrt-unprod_binary64 prod-exp_binary64
cbrt-prod_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
cos-mult_binary64
pow-prod-up_binary64 pow-sqr_binary64 insert-posit16
pow-unpow_binary64 associate-*r/_binary64 frac-sub_binary64 associate-*l/_binary64
pow-pow_binary64 sqr-pow_binary64 pow-plus_binary64 cube-div_binary64 rem-cube-cbrt_binary64 unpow-prod-down_binary64 cube-prod_binary64 sub-div_binary64 frac-times_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
cbrt-div_binary64 pow-to-exp_binary64 sub-neg_binary64 rem-cbrt-cube_binary64 flip3--_binary64 swap-sqr_binary64 diff-log_binary64 associate-*r*_binary64 pow1/3_binary64 associate-*l*_binary64 sqr-cos-a_binary64 difference-of-squares_binary64 flip--_binary64 pow2_binary64 associate--l+_binary64 *-commutative_binary64
Counts
4 → 100
Calls
4 calls:
15.0ms
(*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
11.0ms
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
8.0ms
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3)
4.0ms
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3))

series725.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
238.0ms
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
172.0ms
(pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3)
142.0ms
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02822038
12822038
02822038
12822038
02211
12211
04971507
14971507
04971507
14971507
013
113
07851601
17851601
07851601
17851601
076
176
05231507
15231507
05231507
15231507
013
113

simplify143.0ms

Counts
112 → 112
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
050284326

prune186.0ms

Filtered
71 candidates to 112 candidates (-57.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1111112
Fresh189
Picked101
Done000
Total1139122

Merged error: 0.1b

Counts
122 → 9

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(-.f64 (cos.f64 delta) (*.f64 (*.f64 (cbrt.f64 (sin.f64 phi1)) (cbrt.f64 (sin.f64 phi1))) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (cbrt.f64 (sin.f64 phi1)))))
0.6b
(cbrt.f64 (sin.f64 phi1))
0.6b
(cbrt.f64 (sin.f64 phi1))
0.6b
(cbrt.f64 (sin.f64 phi1))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16
pow1/3_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 flip--_binary64
Counts
4 → 48
Calls
4 calls:
6.0ms
(-.f64 (cos.f64 delta) (*.f64 (*.f64 (cbrt.f64 (sin.f64 phi1)) (cbrt.f64 (sin.f64 phi1))) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (cbrt.f64 (sin.f64 phi1)))))
2.0ms
(cbrt.f64 (sin.f64 phi1))
2.0ms
(cbrt.f64 (sin.f64 phi1))
2.0ms
(cbrt.f64 (sin.f64 phi1))

series1.1s

Counts
4 → 12
Calls
4 calls:
417.0ms
(-.f64 (cos.f64 delta) (*.f64 (*.f64 (cbrt.f64 (sin.f64 phi1)) (cbrt.f64 (sin.f64 phi1))) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (cbrt.f64 (sin.f64 phi1)))))
220.0ms
(cbrt.f64 (sin.f64 phi1))
223.0ms
(cbrt.f64 (sin.f64 phi1))
223.0ms
(cbrt.f64 (sin.f64 phi1))
Iterations

Useful iterations: 0 (191.0ms)

IterNodesCost
0471618
1471618
0471618
1471618
0540814
0471618
1471618
0471618
1471618
0540814
0471618
1471618
0471618
1471618
0540814
07762260
17762260
07762260
17762260
047316
147316

simplify120.0ms

Counts
60 → 60
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
050551024

prune74.0ms

Filtered
52 candidates to 60 candidates (-15.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh088
Picked011
Done000
Total60969

Merged error: 0.1b

Counts
69 → 9

regimes184.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07971
17971

end0.0ms

sample9.0s

Algorithm
intervals
Results
5.7s3141×body1280valid
1.9s1817×body640valid
473.0ms689×body320valid
414.0ms2022×body80valid
147.0ms331×body160valid

Profiling

Loading profile data...