Details

Time bar (total: 27.0s)

analyze3.8s (13.9%)

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)

sample229.0ms (0.8%)

Algorithm
intervals
Results
157.0ms129×body1024valid
30.0ms43×body512valid
14.0ms69×body128valid
7.0ms15×body256valid
Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify42.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
046355
146355

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 66 to 46 computations (30.3% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sin.f64 theta) (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))))
0.5b
(-.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)))))))

rewrite128.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
12×add-sqr-sqrt_binary64_2146
pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
add-log-exp_binary64_2163 associate-*l*_binary64_2065 associate-*r*_binary64_2064
sin-mult_binary64_2279 pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 unswap-sqr_binary64_2092 *-commutative_binary64_2055
diff-log_binary64_2216 flip3--_binary64_2128 sub-neg_binary64_2117 flip--_binary64_2099 cancel-sign-sub-inv_binary64_2090 asin-acos_binary64_2304
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (sin.f64 theta) (sin.f64 delta))
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))))))
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 2653 to 371 computations (86% saved)

series1.0s (3.8%)

Error
0.2b
Counts
4 → 43
Calls

4 calls:

448.0ms
(-.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)))))))
339.0ms
(*.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))))))
117.0ms
(*.f64 (sin.f64 theta) (sin.f64 delta))
75.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
Compiler

Compiled 4190 to 1981 computations (52.7% saved)

simplify92.0ms (0.3%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049003044
149003044

prune164.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9110101
Fresh000
Picked101
Done000
Total9210102
Error
0.1b
Counts
102 → 10
Compiler

Compiled 4431 to 731 computations (83.5% saved)

localize29.0ms (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)))))
0.5b
(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
(-.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
(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)

rewrite160.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
12×cbrt-prod_binary64_2155
10×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
unpow-prod-down_binary64_2203 add-log-exp_binary64_2163 cube-prod_binary64_2152
pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
cube-div_binary64_2153
pow-unpow_binary64_2201 flip3--_binary64_2128 flip--_binary64_2099
unpow3_binary64_2190 cube-mult_binary64_2154 sqr-pow_binary64_2096 cbrt-div_binary64_2156
pow-pow_binary64_2196 pow-to-exp_binary64_2193 pow-exp_binary64_2192 rem-cube-cbrt_binary64_2147 diff-log_binary64_2216 sub-neg_binary64_2117 cancel-sign-sub-inv_binary64_2090 pow1/3_binary64_2206 rem-cbrt-cube_binary64_2148 asin-acos_binary64_2304
Counts
4 → 68
Calls

4 calls:

7.0ms
(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)
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))
4.0ms
(-.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))))))))
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)

series2.0s (7.4%)

Error
0.1b
Counts
4 → 51
Calls

4 calls:

940.0ms
(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)
447.0ms
(-.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))))))))
435.0ms
(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))
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 6127 to 2931 computations (52.2% saved)

simplify97.0ms (0.4%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049926031
149926031

prune211.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1136119
Fresh459
Picked101
Done000
Total11811129
Error
0.1b
Counts
129 → 11
Compiler

Compiled 6240 to 1242 computations (80.1% saved)

localize39.0ms (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)))))
0.3b
(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2) (pow.f64 (sin.f64 phi1) 2))) (+.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)))))))))
0.4b
(-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2) (pow.f64 (sin.f64 phi1) 2)))
0.4b
(pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2)

rewrite215.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
14×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
times-frac_binary64_2130
add-exp-log_binary64_2162
add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160
pow1_binary64_2185
unpow-prod-down_binary64_2203 pow-unpow_binary64_2201 associate-/l*_binary64_2069 associate-/r*_binary64_2068
flip3--_binary64_2128 flip--_binary64_2099 associate-/l/_binary64_2071 associate-/r/_binary64_2070
pow-pow_binary64_2196 pow-to-exp_binary64_2193 pow-exp_binary64_2192 unpow2_binary64_2189 sqr-pow_binary64_2096 diff-log_binary64_2216 sub-neg_binary64_2117 cancel-sign-sub-inv_binary64_2090 div-exp_binary64_2175 cbrt-undiv_binary64_2158 frac-2neg_binary64_2135 div-sub_binary64_2129 clear-num_binary64_2123 div-inv_binary64_2121 flip3-+_binary64_2127 flip-+_binary64_2098 asin-acos_binary64_2304
Counts
4 → 70
Calls

4 calls:

10.0ms
(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2) (pow.f64 (sin.f64 phi1) 2))) (+.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)))))))))
7.0ms
(-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2) (pow.f64 (sin.f64 phi1) 2)))
3.0ms
(pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2)
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 6340 to 1328 computations (79.1% saved)

series3.7s (13.7%)

Error
0.1b
Counts
4 → 45
Calls

4 calls:

2.4s
(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2) (pow.f64 (sin.f64 phi1) 2))) (+.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)))))))))
768.0ms
(-.f64 (pow.f64 (cos.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2) (pow.f64 (sin.f64 phi1) 2)))
352.0ms
(pow.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 2)
97.0ms
(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
Compiler

Compiled 9646 to 3662 computations (62% saved)

simplify118.0ms (0.4%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049778956
149778956

prune301.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1096115
Fresh4610
Picked101
Done000
Total11412126
Error
0.1b
Counts
126 → 12
Compiler

Compiled 10371 to 2353 computations (77.3% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(pow.f64 (cos.f64 delta) 4)
0.6b
(pow.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))))))) 4)
0.6b
(pow.f64 (cos.f64 delta) 6)
0.7b
(pow.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)

rewrite270.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
12×pow-unpow_binary64_2201 pow1_binary64_2185 add-exp-log_binary64_2162
10×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
unpow-prod-down_binary64_2203
pow-pow_binary64_2196 pow-exp_binary64_2192
pow-to-exp_binary64_2193 add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160 sqr-pow_binary64_2096
pow-prod-down_binary64_2195 prod-exp_binary64_2173
Counts
4 → 68
Calls

4 calls:

7.0ms
(pow.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)
6.0ms
(pow.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))))))) 4)
2.0ms
(pow.f64 (cos.f64 delta) 4)
2.0ms
(pow.f64 (cos.f64 delta) 6)
Compiler

Compiled 8418 to 1837 computations (78.2% saved)

series2.0s (7.6%)

Error
0.1b
Counts
4 → 31
Calls

4 calls:

1.0s
(pow.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)
773.0ms
(pow.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))))))) 4)
71.0ms
(pow.f64 (cos.f64 delta) 6)
69.0ms
(pow.f64 (cos.f64 delta) 4)
Compiler

Compiled 10063 to 3372 computations (66.5% saved)

simplify66.0ms (0.2%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053972368

prune331.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New98199
Fresh11011
Picked101
Done000
Total10011111
Error
0.1b
Counts
111 → 11
Compiler

Compiled 11907 to 2532 computations (78.7% saved)

regimes1.8s (6.8%)

Accuracy

Total 0.1b remaining (67.6%)

Threshold costs 0.1b (67.6%)

Compiler

Compiled 33171 to 16261 computations (51% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066103
166103

end0.0ms (0%)

sample10.1s (37.3%)

Algorithm
intervals
Results
4.8s3855×body1024valid
1.0s1387×body512valid
447.0ms2184×body128valid
291.0ms563×body256valid
28.0ms11×body2048valid
Compiler

Compiled 4815 to 2364 computations (50.9% saved)

Profiling

Loading profile data...