Details

Time bar (total: 29.0s)

analyze3.9s (13.3%)

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)

sample217.0ms (0.7%)

Algorithm
intervals
Results
131.0ms113×body1024valid
38.0ms47×body512valid
15.0ms77×body128valid
8.0ms18×body256valid
2.0msbody2048valid
Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify40.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
046355
146355

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 66 to 46 computations (30.3% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sin.f64 phi1) (cos.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))))))
0.4b
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.5b
(-.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)))))))

rewrite229.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.1b
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 sin-cos-mult_binary64_1939
Counts
4 → 58
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 (sin.f64 phi1) (cos.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 2513 to 412 computations (83.6% saved)

series1.5s (5.2%)

Error
0.2b
Counts
4 → 38
Calls

4 calls:

687.0ms
(-.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)))))))
549.0ms
(*.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))))))
135.0ms
(*.f64 (sin.f64 phi1) (cos.f64 delta))
110.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
Compiler

Compiled 2953 to 1807 computations (38.8% saved)

simplify79.0ms (0.3%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051362854

prune193.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New89796
Fresh000
Picked101
Done000
Total90797
Error
0.1b
Counts
97 → 7
Compiler

Compiled 2807 to 621 computations (77.9% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite578.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
43×pow1_binary64_1844
17×pow-prod-down_binary64_1854
16×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
10×sin-mult_binary64_1938
prod-exp_binary64_1832 cbrt-unprod_binary64_1816
add-log-exp_binary64_1822
cos-mult_binary64_1937
add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783 pow-prod-up_binary64_1853 pow-sqr_binary64_1756
frac-sub_binary64_1792 associate-*l/_binary64_1726 associate-*r/_binary64_1725
frac-times_binary64_1793 sub-div_binary64_1790 pow-plus_binary64_1846 asin-acos_binary64_1963
diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 difference-of-squares_binary64_1752 cancel-sign-sub-inv_binary64_1749 sqr-cos-a_binary64_1932 associate--l+_binary64_1720 pow2_binary64_1864 swap-sqr_binary64_1750 associate-*l*_binary64_1724 associate-*r*_binary64_1723 *-commutative_binary64_1714
Counts
4 → 72
Calls

4 calls:

11.0ms
(*.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))))))) (*.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))))))))
10.0ms
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.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))))))) (*.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)))))))))
1.0ms
(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 6166 to 464 computations (92.5% saved)

series2.6s (9%)

Error
0.1b
Counts
4 → 39
Calls

4 calls:

1.3s
(-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.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))))))) (*.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)))))))))
979.0ms
(*.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))))))) (*.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))))))))
136.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
136.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 5931 to 2347 computations (60.4% saved)

simplify72.0ms (0.2%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049664411
149664411

prune346.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1074111
Fresh156
Picked101
Done000
Total1099118
Error
0.0b
Counts
118 → 9
Compiler

Compiled 4999 to 858 computations (82.8% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(asin.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.5b
(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)
0.5b
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
19.3b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3))

rewrite443.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
cbrt-prod_binary64_1814
pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
add-log-exp_binary64_1822 add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
pow-unpow_binary64_1860
sin-cos-mult_binary64_1939 cube-div_binary64_1812 unpow-prod-down_binary64_1862 unpow3_binary64_1849 cube-mult_binary64_1813 cube-prod_binary64_1811 sqr-pow_binary64_1755 pow-pow_binary64_1855 pow-exp_binary64_1851 rem-cube-cbrt_binary64_1806
pow1/3_binary64_1865 cbrt-div_binary64_1815 rem-cbrt-cube_binary64_1807 diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 cancel-sign-sub-inv_binary64_1749 pow-prod-down_binary64_1854 pow-to-exp_binary64_1852 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 asin-acos_binary64_1963
Counts
4 → 61
Calls

4 calls:

5.0ms
(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)
4.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
3.0ms
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3))
2.0ms
(asin.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
Compiler

Compiled 2621 to 853 computations (67.5% saved)

series1.3s (4.4%)

Error
0.0b
Counts
4 → 35
Calls

4 calls:

687.0ms
(-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
256.0ms
(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)
138.0ms
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3))
113.0ms
(asin.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) 3)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
Compiler

Compiled 2949 to 1801 computations (38.9% saved)

simplify85.0ms (0.3%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048682179
148682179

prune415.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh088
Picked011
Done000
Total969105
Error
0.0b
Counts
105 → 9
Compiler

Compiled 3140 to 892 computations (71.6% saved)

localize60.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) (cbrt.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 (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 (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 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))

rewrite688.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_1814
23×add-sqr-sqrt_binary64_1805
15×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×pow1_binary64_1844
pow1/3_binary64_1865
add-exp-log_binary64_1821 swap-sqr_binary64_1750 associate-*l*_binary64_1724 associate-*r*_binary64_1723
add-log-exp_binary64_1822 add-cbrt-cube_binary64_1819 unswap-sqr_binary64_1751
pow-prod-down_binary64_1854 pow-prod-up_binary64_1853 pow-sqr_binary64_1756
pow2_binary64_1864 pow-plus_binary64_1846 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 *-commutative_binary64_1714
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) (cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))
1.0ms
(cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))
1.0ms
(cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))
1.0ms
(cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))
Compiler

Compiled 8881 to 715 computations (91.9% saved)

series4.3s (14.7%)

Error
0.0b
Counts
4 → 36
Calls

4 calls:

1.3s
(*.f64 (cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) (cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))
983.0ms
(cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))
965.0ms
(cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))
962.0ms
(cbrt.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))
Compiler

Compiled 8455 to 2534 computations (70% saved)

simplify96.0ms (0.3%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048483549
148483549

prune433.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh077
Picked011
Done011
Total1099118
Error
0.0b
Counts
118 → 9
Compiler

Compiled 6182 to 586 computations (90.5% saved)

regimes4.1s (14.1%)

Accuracy

Total 0.1b remaining (52.9%)

Threshold costs 0.1b (52.9%)

Compiler

Compiled 57185 to 27402 computations (52.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06162
16162

end3.0ms (0%)

Compiler

Compiled 37 to 27 computations (27% saved)

sample7.3s (25.2%)

Algorithm
intervals
Results
4.6s3897×body1024valid
969.0ms1325×body512valid
483.0ms2184×body128valid
276.0ms583×body256valid
28.0ms11×body2048valid
Compiler

Compiled 715 to 369 computations (48.4% saved)

Profiling

Loading profile data...