Details

Time bar (total: 22.5s)

analyze3.9s (17.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04909605
14909605
055
155
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
Compiler

Compiled 34 to 24 computations (29.4% saved)

sample232.0ms (1%)

Algorithm
intervals
Results
157.0ms136×body1024valid
25.0ms36×body512valid
21.0ms72×body128valid
5.0ms11×body256valid
2.0msbody2048valid
Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify45.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
046355
146355

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 66 to 46 computations (30.3% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cos.f64 phi1) (sin.f64 delta))
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))))))
0.3b
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b
(-.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)))))))

rewrite118.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_1805
pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
add-log-exp_binary64_1822 associate-*l*_binary64_1724 associate-*r*_binary64_1723
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 unswap-sqr_binary64_1751 *-commutative_binary64_1714
diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 cancel-sign-sub-inv_binary64_1749 asin-acos_binary64_1963 sin-mult_binary64_1938
Counts
4 → 57
Calls

4 calls:

5.0ms
(*.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 phi1) (sin.f64 delta))
4.0ms
(-.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)))))))
1.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
Compiler

Compiled 2614 to 451 computations (82.7% saved)

series975.0ms (4.3%)

Error
0.1b
Counts
4 → 37
Calls

4 calls:

440.0ms
(-.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)))))))
333.0ms
(*.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))))))
85.0ms
(*.f64 (cos.f64 phi1) (sin.f64 delta))
78.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
Compiler

Compiled 3690 to 1753 computations (52.5% saved)

simplify84.0ms (0.4%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
048942825
148942825

prune143.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New86894
Fresh000
Picked101
Done000
Total87895
Error
0.0b
Counts
95 → 8
Compiler

Compiled 4073 to 678 computations (83.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))))
0.3b
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
0.4b
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
3.2b
(log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))

rewrite136.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
15×log-prod_binary64_1869
14×add-sqr-sqrt_binary64_1805
12×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 sin-sum_binary64_1916
pow1_binary64_1844
add-log-exp_binary64_1822 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 distribute-rgt-in_binary64_1733 associate--r+_binary64_1719 distribute-lft-in_binary64_1732
log-pow_binary64_1872
exp-prod_binary64_1835 associate-*l*_binary64_1724 associate-*r*_binary64_1723
asin-acos_binary64_1963
exp-diff_binary64_1831 log-div_binary64_1870 rem-log-exp_binary64_1824 diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 cancel-sign-sub-inv_binary64_1749 sin-mult_binary64_1938 pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 unswap-sqr_binary64_1751 *-commutative_binary64_1714
Counts
4 → 67
Calls

4 calls:

8.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))))
5.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
3.0ms
(log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))
1.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 4020 to 499 computations (87.6% saved)

series2.2s (9.9%)

Error
0.0b
Counts
4 → 40
Calls

4 calls:

816.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
778.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))))
514.0ms
(log.f64 (exp.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))
87.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 4225 to 2008 computations (52.5% saved)

simplify117.0ms (0.5%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
048784486
148784486

prune152.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh077
Picked011
Done000
Total1078115
Error
0.0b
Counts
115 → 8
Compiler

Compiled 5310 to 701 computations (86.8% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))
0.3b
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
0.4b
(-.f64 (cos.f64 delta) (log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
3.5b
(log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))))

rewrite126.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64_1805
12×*-un-lft-identity_binary64_1783
pow1_binary64_1844 add-cube-cbrt_binary64_1818
add-log-exp_binary64_1822 log-pow_binary64_1872
log-prod_binary64_1869 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 cancel-sign-sub-inv_binary64_1749
associate--r+_binary64_1719 associate-*l*_binary64_1724 associate-*r*_binary64_1723
exp-to-pow_binary64_1845 exp-prod_binary64_1835 distribute-lft-out--_binary64_1735
rem-log-exp_binary64_1824 diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 difference-of-squares_binary64_1752 asin-acos_binary64_1963 sin-mult_binary64_1938 pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 unswap-sqr_binary64_1751 *-commutative_binary64_1714
Counts
4 → 64
Calls

4 calls:

8.0ms
(-.f64 (cos.f64 delta) (log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
6.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))
3.0ms
(log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))))
2.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 3270 to 427 computations (86.9% saved)

series2.6s (11.4%)

Error
0.0b
Counts
4 → 41
Calls

4 calls:

1.2s
(log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))))
909.0ms
(-.f64 (cos.f64 delta) (log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
337.0ms
(*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))
77.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 4346 to 2057 computations (52.7% saved)

simplify117.0ms (0.5%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
048553737
148553737

prune140.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1023105
Fresh246
Picked011
Done011
Total1049113
Error
0.0b
Counts
113 → 9
Compiler

Compiled 4604 to 628 computations (86.4% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
0.4b
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))
0.5b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) 3))
0.5b
(pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) 3)

rewrite143.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64_1814
10×add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
unpow-prod-down_binary64_1862 add-log-exp_binary64_1822 cube-prod_binary64_1811
pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
cube-div_binary64_1812
pow-unpow_binary64_1860 flip3--_binary64_1787 flip--_binary64_1758
unpow3_binary64_1849 cube-mult_binary64_1813 sqr-pow_binary64_1755 cbrt-div_binary64_1815
pow-pow_binary64_1855 pow-to-exp_binary64_1852 pow-exp_binary64_1851 rem-cube-cbrt_binary64_1806 pow1/3_binary64_1865 rem-cbrt-cube_binary64_1807 diff-log_binary64_1875 sub-neg_binary64_1776 cancel-sign-sub-inv_binary64_1749 asin-acos_binary64_1963
Counts
4 → 68
Calls

4 calls:

5.0ms
(pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) 3)
5.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))
4.0ms
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) 3))
1.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 4047 to 615 computations (84.8% saved)

series1.7s (7.5%)

Error
0.0b
Counts
4 → 44
Calls

4 calls:

751.0ms
(pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) 3)
408.0ms
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) 3))
406.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))
81.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 4894 to 2449 computations (50% saved)

simplify106.0ms (0.5%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049265078
149265078

prune154.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1102112
Fresh336
Picked101
Done022
Total1147121
Error
0.0b
Counts
121 → 7
Compiler

Compiled 4981 to 742 computations (85.1% saved)

regimes960.0ms (4.3%)

Accuracy

Total 0.1b remaining (57.6%)

Threshold costs 0.1b (57.6%)

Compiler

Compiled 16378 to 8232 computations (49.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05755
15755

end0.0ms (0%)

sample8.3s (36.8%)

Algorithm
intervals
Results
4.6s3922×body1024valid
990.0ms1340×body512valid
471.0ms2200×body128valid
255.0ms531×body256valid
16.0msbody2048valid
Compiler

Compiled 2387 to 1208 computations (49.4% saved)

Profiling

Loading profile data...