Details

analyze3.8s (14.9%)

Algorithm

1×

Search

True	Other	False	Iter
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)

sample263.0ms (1%)

Algorithm

1×

intervals

Results

189.0ms	137×	body	1024	valid
30.0ms	39×	body	512	valid
18.0ms	68×	body	128	valid
5.0ms	11×	body	256	valid
3.0ms	1×	body	2048	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify194.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	463	55
1	463	55

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.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))))))))
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))))))
0.4b	(-.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)))))))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2120`
6×	`add-cube-cbrt_binary64_2131` `add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `add-log-exp_binary64_2135` `*-un-lft-identity_binary64_2099` `add-exp-log_binary64_2134`
3×	`associate-l_binary64_2042` `associate-r_binary64_2041`
1×	`sub-neg_binary64_2092` `asin-acos_binary64_2276` `*-commutative_binary64_2032` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `flip3--_binary64_2103` `flip--_binary64_2074` `sin-mult_binary64_2251` `unswap-sqr_binary64_2067` `cbrt-unprod_binary64_2129` `diff-log_binary64_2188`

Counts

4 → 45

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))))))
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))))
1.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.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))))))))

series675.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

326.0ms	(-.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)))))))
228.0ms	(.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))))))
87.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.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))))))))
33.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4863	2462
1	4863	2462

prune114.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	11	58

Merged error: 0.1b

Counts

58 → 11

Compiler

Compiled 3089 to 573 computations (81.5% saved)

localize45.0ms (0.2%)

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 (-.f64 (pow.f64 (cos.f64 delta) 3) (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)) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.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))))) (+.f64 (cos.f64 delta) (.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 (cos.f64 delta) 3)
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)

rewrite82.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`add-sqr-sqrt_binary64_2120`
39×	`times-frac_binary64_2105`
36×	`*-un-lft-identity_binary64_2099`
32×	`difference-of-squares_binary64_2068`
28×	`add-cube-cbrt_binary64_2131`
26×	`sqr-pow_binary64_2071`
13×	`associate-/l*_binary64_2046`
12×	`unpow-prod-down_binary64_2175` `add-cbrt-cube_binary64_2132` `cube-prod_binary64_2124` `add-exp-log_binary64_2134`
10×	`pow1_binary64_2157`
6×	`pow-unpow_binary64_2173`
4×	`associate-*r/_binary64_2043` `associate-/r/_binary64_2047` `add-log-exp_binary64_2135` `difference-cubes_binary64_2101` `distribute-lft-out--_binary64_2053`
3×	`associate-l_binary64_2042` `pow-exp_binary64_2164` `pow-pow_binary64_2168` `rem-cube-cbrt_binary64_2121` `associate-/r_binary64_2045` `associate-r*_binary64_2041`
2×	`cos-mult_binary64_2250` `flip3-+_binary64_2102` `associate-/l/_binary64_2048` `pow-to-exp_binary64_2165` `unpow3_binary64_2162` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `sin-mult_binary64_2251` `cube-mult_binary64_2126` `flip-+_binary64_2073` `cbrt-unprod_binary64_2129` `frac-add_binary64_2107`
1×	`cbrt-undiv_binary64_2130` `*-commutative_binary64_2032` `div-exp_binary64_2147` `cube-div_binary64_2125` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `flip3--_binary64_2103` `flip--_binary64_2074` `unswap-sqr_binary64_2067` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

4 → 139

Calls

4 calls:

20.0ms	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (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)) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.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))))) (+.f64 (cos.f64 delta) (.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)
6.0ms	(.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))))))
3.0ms	(pow.f64 (cos.f64 delta) 3)

series4.0s (15.4%)

Counts

4 → 12

Calls

4 calls:

3.0s	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (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)) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.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))))) (+.f64 (cos.f64 delta) (.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)))))))))))
658.0ms	(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)
243.0ms	(.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))))))
42.0ms	(pow.f64 (cos.f64 delta) 3)

simplify154.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4987	16854
1	4987	16854

prune530.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	145	6	151
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	150	12	162

Merged error: 0.1b

Counts

162 → 12

Compiler

Compiled 18894 to 2853 computations (84.9% saved)

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (cos.f64 delta) 3)
0.4b	(pow.f64 (pow.f64 (.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)))))) 3) 3)
0.4b	(pow.f64 (.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)))))) 3)
5.6b	(cbrt.f64 (pow.f64 (pow.f64 (.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)))))) 3) 3))

rewrite52.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`unpow-prod-down_binary64_2175` `cube-prod_binary64_2124`
22×	`cbrt-prod_binary64_2127`
14×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
12×	`add-exp-log_binary64_2134`
9×	`pow-exp_binary64_2164` `add-cbrt-cube_binary64_2132` `pow-unpow_binary64_2173`
8×	`sqr-pow_binary64_2071` `pow1_binary64_2157` `unpow3_binary64_2162` `cube-mult_binary64_2126`
5×	`cube-div_binary64_2125`
4×	`pow-pow_binary64_2168` `rem-cube-cbrt_binary64_2121` `pow-to-exp_binary64_2165` `add-log-exp_binary64_2135`
3×	`sin-mult_binary64_2251`
2×	`prod-exp_binary64_2145`
1×	`cbrt-div_binary64_2128` `pow1/3_binary64_2178` `pow-prod-down_binary64_2167` `rem-cbrt-cube_binary64_2122` `cbrt-unprod_binary64_2129`

Counts

4 → 115

Calls

4 calls:

6.0ms	(pow.f64 (pow.f64 (.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)))))) 3) 3)
6.0ms	(pow.f64 (.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)))))) 3)
6.0ms	(cbrt.f64 (pow.f64 (pow.f64 (.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)))))) 3) 3))
3.0ms	(pow.f64 (cos.f64 delta) 3)

series2.3s (8.9%)

Counts

4 → 12

Calls

4 calls:

1.1s	(pow.f64 (pow.f64 (.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)))))) 3) 3)
614.0ms	(pow.f64 (.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)))))) 3)
590.0ms	(cbrt.f64 (pow.f64 (pow.f64 (.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)))))) 3) 3))
38.0ms	(pow.f64 (cos.f64 delta) 3)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5056	4695

prune347.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	127	12	139

Merged error: 0.1b

Counts

139 → 12

Compiler

Compiled 13398 to 2019 computations (84.9% saved)

localize54.0ms (0.2%)

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

rewrite91.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_2120`
22×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
14×	`pow1_binary64_2157`
12×	`times-frac_binary64_2105`
11×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
8×	`pow3_binary64_2179`
6×	`associate-l_binary64_2042` `pow-prod-down_binary64_2167` `associate-r_binary64_2041`
4×	`associate-r/_binary64_2043` `associate-/r/_binary64_2047` `add-log-exp_binary64_2135` `difference-cubes_binary64_2101` `associate-/l_binary64_2046`
3×	`unpow-prod-down_binary64_2175` `cube-prod_binary64_2124` `pow-unpow_binary64_2173` `associate-/r*_binary64_2045` `swap-sqr_binary64_2066`
2×	`cos-mult_binary64_2250` `flip3-+_binary64_2102` `*-commutative_binary64_2032` `associate-/l/_binary64_2048` `prod-exp_binary64_2145` `sin-mult_binary64_2251` `unswap-sqr_binary64_2067` `flip-+_binary64_2073` `cbrt-unprod_binary64_2129` `frac-add_binary64_2107`
1×	`sqr-pow_binary64_2071` `cbrt-undiv_binary64_2130` `pow-exp_binary64_2164` `pow-pow_binary64_2168` `div-exp_binary64_2147` `rem-cube-cbrt_binary64_2121` `pow-to-exp_binary64_2165` `frac-2neg_binary64_2110` `unpow3_binary64_2162` `div-sub_binary64_2104` `pow2_binary64_2177` `pow-plus_binary64_2159` `flip3--_binary64_2103` `flip--_binary64_2074` `sqr-sin-a_binary64_2244` `clear-num_binary64_2098` `pow-prod-up_binary64_2166` `div-inv_binary64_2096` `cube-mult_binary64_2126` `pow-sqr_binary64_2072`

Counts

4 → 107

Calls

4 calls:

33.0ms	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi1)) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.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))))) (+.f64 (cos.f64 delta) (.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)))))))))))
7.0ms	(.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
6.0ms	(.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))))))
3.0ms	(pow.f64 (cos.f64 delta) 3)

series3.5s (13.6%)

Counts

4 → 12

Calls

4 calls:

2.9s	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 phi1)) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.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))))) (+.f64 (cos.f64 delta) (.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)))))))))))
300.0ms	(.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
239.0ms	(.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))))))
38.0ms	(pow.f64 (cos.f64 delta) 3)

simplify134.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4970	9043
1	4970	9043

prune372.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	119	12	131

Merged error: 0.1b

Counts

131 → 12

Compiler

Compiled 15721 to 1551 computations (90.1% saved)

regimes331.0ms (1.3%)

Compiler: Compiled 5815 to 2195 computations (62.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	149
1	56	149

end0.0ms (0%)

sample8.4s (32.6%)

Algorithm

1×

intervals

Results

5.4s	3879×	body	1024	valid
1.1s	1391×	body	512	valid
471.0ms	2193×	body	128	valid
282.0ms	528×	body	256	valid
30.0ms	9×	body	2048	valid

Compiler

Compiled 1284 to 494 computations (61.5% saved)

Details

analyze3.8s (14.9%)

sample263.0ms (1%)

simplify194.0ms (0.8%)

prune4.0ms (0%)

localize37.0ms (0.1%)

rewrite18.0ms (0.1%)

series675.0ms (2.6%)

simplify100.0ms (0.4%)

prune114.0ms (0.4%)

localize45.0ms (0.2%)

rewrite82.0ms (0.3%)

series4.0s (15.4%)

simplify154.0ms (0.6%)

prune530.0ms (2.1%)

localize62.0ms (0.2%)

rewrite52.0ms (0.2%)

series2.3s (8.9%)

simplify94.0ms (0.4%)

prune347.0ms (1.3%)

localize54.0ms (0.2%)

rewrite91.0ms (0.4%)

series3.5s (13.6%)

simplify134.0ms (0.5%)

prune372.0ms (1.4%)

regimes331.0ms (1.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.4s (32.6%)

Profiling