Details

analyze7.2s (11.1%)

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)

sample436.0ms (0.7%)

Algorithm

1×

intervals

Results

286.0ms	118×	body	1024	valid
56.0ms	41×	body	512	valid
28.0ms	71×	body	128	valid
23.0ms	26×	body	256	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify254.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	463	55
1	463	55

prune8.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize66.0ms (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))))
0.6b	(-.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)))))))

rewrite231.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_1805`
8×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`add-log-exp_binary64_1822` `associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`sin-mult_binary64_1938` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749` `asin-acos_binary64_1963`

Counts

4 → 58

Calls

4 calls:

11.0ms	(.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))))))
11.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
8.0ms	(-.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)))))))
2.0ms	(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)

series1.9s (2.9%)

Error

0.2b

Counts

4 → 41

Calls

4 calls:

793.0ms	(-.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)))))))
606.0ms	(.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))))))
227.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
148.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Compiler

Compiled 4046 to 1909 computations (52.8% saved)

simplify166.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5023	2929

prune304.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Error

0.1b

Counts

100 → 9

Compiler

Compiled 4271 to 670 computations (84.3% saved)

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cos.f64 delta) (cos.f64 delta))
0.3b	(.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))))))))
0.3b	(/.f64 (-.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))))))))) (+.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	(-.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)))))))))

rewrite716.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

50×	`pow1_binary64_1844`
20×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
19×	`add-sqr-sqrt_binary64_1805`
18×	`pow-prod-down_binary64_1854`
17×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
16×	`sin-mult_binary64_1938`
12×	`times-frac_binary64_1789`
11×	`cos-mult_binary64_1937`
9×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`associate-/l/_binary64_1730`
6×	`add-log-exp_binary64_1822` `frac-sub_binary64_1792`
5×	`associate-l/_binary64_1726` `associate-r/_binary64_1725` `difference-of-squares_binary64_1752` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
4×	`sub-div_binary64_1790` `associate-/l_binary64_1728` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r*_binary64_1723`
3×	`frac-times_binary64_1793` `associate-/r*_binary64_1727` `pow-plus_binary64_1846`
2×	`flip3--_binary64_1787` `flip--_binary64_1758` `sqr-cos-a_binary64_1932` `associate-/r/_binary64_1729` `pow2_binary64_1864` `*-commutative_binary64_1714`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate--l+_binary64_1720` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `unswap-sqr_binary64_1751`

Counts

4 → 124

Calls

4 calls:

29.0ms	(/.f64 (-.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))))))))) (+.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)))))))))
19.0ms	(.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))))))))
19.0ms	(-.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)))))))))
8.0ms	(*.f64 (cos.f64 delta) (cos.f64 delta))

Compiler

Compiled 13056 to 835 computations (93.6% saved)

series5.9s (9%)

Error

0.1b

Counts

4 → 37

Calls

4 calls:

3.3s	(/.f64 (-.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))))))))) (+.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)))))))))
1.4s	(-.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)))))))))
1.0s	(.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))))))))
62.0ms	(*.f64 (cos.f64 delta) (cos.f64 delta))

Compiler

Compiled 7144 to 2656 computations (62.8% saved)

simplify289.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4991	8029
1	4991	8029

prune634.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	157	4	161
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	160	10	170

Error

0.1b

Counts

170 → 10

Compiler

Compiled 12826 to 1658 computations (87.1% saved)

localize78.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3)) (+.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 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3))
0.5b	(-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2))
0.5b	(pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3)

rewrite2.3s (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

199×	`add-sqr-sqrt_binary64_1805`
190×	`cbrt-prod_binary64_1814`
156×	`difference-of-squares_binary64_1752`
136×	`unpow-prod-down_binary64_1862`
123×	`times-frac_binary64_1789`
98×	`sqr-pow_binary64_1755`
96×	`cube-prod_binary64_1811`
95×	`*-un-lft-identity_binary64_1783`
92×	`unpow2_binary64_1848`
69×	`add-cube-cbrt_binary64_1818`
41×	`associate-/l*_binary64_1728`
13×	`distribute-lft-out--_binary64_1735`
7×	`add-exp-log_binary64_1821`
6×	`unpow3_binary64_1849` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `cube-mult_binary64_1813` `cube-div_binary64_1812` `cancel-sign-sub-inv_binary64_1749`
5×	`pow1_binary64_1844`
4×	`flip3--_binary64_1787` `flip--_binary64_1758` `cbrt-div_binary64_1815`
3×	`pow-unpow_binary64_1860` `associate-/r*_binary64_1727`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `diff-log_binary64_1875` `sub-neg_binary64_1776` `pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

4 → 313

Calls

4 calls:

49.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3)) (+.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)))))))))
22.0ms	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3))
21.0ms	(pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3)
18.0ms	(-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2))

Compiler

Compiled 32414 to 6571 computations (79.7% saved)

series9.2s (14.2%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

3.3s	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3)) (+.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)))))))))
3.1s	(pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3)
1.3s	(-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2))
1.3s	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (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))))))) 2)) 3))

Compiler

Compiled 8783 to 3583 computations (59.2% saved)

simplify578.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

358 → 358

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5126	34356

prune1.5s (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	357	1	358
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	358	10	368

Error

0.1b

Counts

368 → 10

Compiler

Compiled 31104 to 3741 computations (88% saved)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (cbrt.f64 (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))) (+.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	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (cbrt.f64 (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)))
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)
9.8b	(cbrt.f64 (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))

rewrite555.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

29×	`add-sqr-sqrt_binary64_1805`
20×	`cbrt-prod_binary64_1814`
19×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
15×	`difference-of-squares_binary64_1752`
9×	`add-exp-log_binary64_1821`
8×	`sqr-pow_binary64_1755` `cancel-sign-sub-inv_binary64_1749`
7×	`pow1_binary64_1844`
6×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `associate-/r*_binary64_1727`
2×	`pow-pow_binary64_1855` `pow-exp_binary64_1851` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`pow1/3_binary64_1865` `pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852` `prod-exp_binary64_1832` `diff-log_binary64_1875` `sub-neg_binary64_1776` `sqr-cos-a_binary64_1932` `associate--l+_binary64_1720` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

4 → 97

Calls

4 calls:

24.0ms	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (cbrt.f64 (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))) (+.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)))))))))
20.0ms	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (cbrt.f64 (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)))
10.0ms	(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)
5.0ms	(cbrt.f64 (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))

Compiler

Compiled 8903 to 1307 computations (85.3% saved)

series7.7s (11.9%)

Error

0.1b

Counts

4 → 43

Calls

4 calls:

3.2s	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (cbrt.f64 (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))) (+.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)))))))))
1.9s	(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)
1.4s	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (cbrt.f64 (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)))
1.1s	(cbrt.f64 (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))

Compiler

Compiled 8228 to 3160 computations (61.6% saved)

simplify249.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5058	10329

prune561.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	140	10	150

Error

0.1b

Counts

150 → 10

Compiler

Compiled 10848 to 1593 computations (85.3% saved)

regimes3.9s (6%)

Accuracy

Total 0.1b remaining (71.3%)

Threshold costs 0.1b (71.3%)

Compiler

Compiled 40164 to 16534 computations (58.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	47	100
1	47	100

end0.0ms (0%)

sample20.0s (30.9%)

Algorithm

1×

intervals

Results

9.2s	3968×	body	1024	valid
1.9s	1345×	body	512	valid
922.0ms	521×	body	256	valid
872.0ms	2159×	body	128	valid
32.0ms	7×	body	2048	valid

Compiler

Compiled 5812 to 2400 computations (58.7% saved)

Details

analyze7.2s (11.1%)

sample436.0ms (0.7%)

simplify254.0ms (0.4%)

prune8.0ms (0%)

localize66.0ms (0.1%)

rewrite231.0ms (0.4%)

series1.9s (2.9%)

simplify166.0ms (0.3%)

prune304.0ms (0.5%)

localize68.0ms (0.1%)

rewrite716.0ms (1.1%)

series5.9s (9%)

simplify289.0ms (0.4%)

prune634.0ms (1%)

localize78.0ms (0.1%)

rewrite2.3s (3.6%)

series9.2s (14.2%)

simplify578.0ms (0.9%)

prune1.5s (2.3%)

localize70.0ms (0.1%)

rewrite555.0ms (0.9%)

series7.7s (11.9%)

simplify249.0ms (0.4%)

prune561.0ms (0.9%)

regimes3.9s (6%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample20.0s (30.9%)

Profiling