Details

analyze6.0s (10.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4909	605
1	4909	605
0	5	5
1	5	5

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)

sample293.0ms (0.5%)

Algorithm

1×

intervals

Results

194.0ms	136×	body	1024	valid
41.0ms	38×	body	512	valid
16.0ms	61×	body	128	valid
11.0ms	20×	body	256	valid
3.0ms	1×	body	2048	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite219.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

12×	`add-sqr-sqrt_binary64_2146`
8×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`sin-mult_binary64_2279` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`
1×	`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:

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

series1.5s (2.8%)

Error

0.3b

Counts

4 → 43

Calls

4 calls:

654.0ms	(-.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)))))))
561.0ms	(.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))))))
132.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
122.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))

Compiler

Compiled 4190 to 1981 computations (52.7% saved)

simplify138.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4900	3044
1	4900	3044

prune204.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	88	13	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	13	102

Error

0.2b

Counts

102 → 13

Compiler

Compiled 4586 to 808 computations (82.4% saved)

localize62.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (pow.f64 (cos.f64 delta) 3) (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))))))) 3))
0.3b	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (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))))))) 3)) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (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))))))))))))
0.4b	(pow.f64 (cos.f64 delta) 3)
0.4b	(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))))))) 3)

rewrite831.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

77×	`add-sqr-sqrt_binary64_2146`
40×	`difference-of-squares_binary64_2093`
39×	`times-frac_binary64_2130`
37×	`*-un-lft-identity_binary64_2124`
33×	`sqr-pow_binary64_2096`
27×	`add-cube-cbrt_binary64_2159`
15×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
13×	`associate-/l*_binary64_2069`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`pow1_binary64_2185` `cancel-sign-sub-inv_binary64_2090`
6×	`pow-unpow_binary64_2201` `add-log-exp_binary64_2163`
5×	`difference-cubes_binary64_2126` `distribute-lft-out--_binary64_2076`
4×	`associate-*r/_binary64_2066` `associate-/r/_binary64_2070`
3×	`pow-pow_binary64_2196` `pow-exp_binary64_2192` `unpow3_binary64_2190` `cube-mult_binary64_2154` `rem-cube-cbrt_binary64_2147` `associate-/r*_binary64_2068`
2×	`pow-to-exp_binary64_2193` `flip3--_binary64_2128` `associate-/l/_binary64_2071` `flip--_binary64_2099` `flip3-+_binary64_2127` `cos-mult_binary64_2278` `frac-add_binary64_2132` `flip-+_binary64_2098`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `sin-mult_binary64_2279` `cube-div_binary64_2153` `cbrt-unprod_binary64_2157` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `diff-log_binary64_2216` `sub-neg_binary64_2117`

Counts

4 → 149

Calls

4 calls:

29.0ms	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (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))))))) 3)) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (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))))))))))))
22.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (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))))))) 3))
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))))))) 3)
3.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 19131 to 2208 computations (88.5% saved)

series12.8s (23.1%)

Error

0.2b

Counts

4 → 43

Calls

4 calls:

10.3s	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (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))))))) 3)) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (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))))))))))))
1.1s	(-.f64 (pow.f64 (cos.f64 delta) 3) (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))))))) 3))
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))))))) 3)
79.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 17682 to 5317 computations (69.9% saved)

simplify255.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5065	26286

prune781.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	191	14	205

Error

0.2b

Counts

205 → 14

Compiler

Compiled 26167 to 4001 computations (84.7% saved)

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (pow.f64 (sin.f64 phi1) 3) (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)))))) 3))) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (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))))))))))))
0.4b	(pow.f64 (cos.f64 delta) 3)
0.4b	(pow.f64 (sin.f64 phi1) 3)
0.5b	(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)))))) 3)

rewrite467.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

22×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
12×	`times-frac_binary64_2130`
9×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `cube-prod_binary64_2152`
7×	`pow1_binary64_2185`
4×	`add-log-exp_binary64_2163` `pow-prod-down_binary64_2195` `difference-cubes_binary64_2126` `associate-r/_binary64_2066` `associate-/r/_binary64_2070` `associate-/l_binary64_2069`
3×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow3_binary64_2190` `cube-mult_binary64_2154` `rem-cube-cbrt_binary64_2147` `sqr-pow_binary64_2096` `associate-/r*_binary64_2068`
2×	`associate-/l/_binary64_2071` `flip3-+_binary64_2127` `cos-mult_binary64_2278` `frac-add_binary64_2132` `flip-+_binary64_2098`
1×	`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_2128` `flip--_binary64_2099`

Counts

4 → 107

Calls

4 calls:

39.0ms	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (pow.f64 (sin.f64 phi1) 3) (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)))))) 3))) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (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))))))))))))
4.0ms	(pow.f64 (cos.f64 delta) 3)
4.0ms	(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)))))) 3)
3.0ms	(pow.f64 (sin.f64 phi1) 3)

Compiler

Compiled 12679 to 1748 computations (86.2% saved)

series10.9s (19.8%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

10.0s	(/.f64 (-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (pow.f64 (sin.f64 phi1) 3) (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)))))) 3))) (+.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (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))))))))))))
588.0ms	(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)))))) 3)
63.0ms	(pow.f64 (cos.f64 delta) 3)
59.0ms	(pow.f64 (sin.f64 phi1) 3)

Compiler

Compiled 15412 to 4649 computations (69.8% saved)

simplify181.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5361	16112

prune683.0ms (1.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	139	15	154

Error

0.1b

Counts

154 → 15

Compiler

Compiled 19420 to 3451 computations (82.2% saved)

localize72.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 phi1) 3)
0.5b	(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)))))) 3)
0.6b	(pow.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)))))) 3) 3)
5.2b	(cbrt.f64 (pow.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)))))) 3) 3))

rewrite542.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

42×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
30×	`cbrt-prod_binary64_2155`
24×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`pow-unpow_binary64_2201`
8×	`add-exp-log_binary64_2162` `unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096`
7×	`add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185` `pow-exp_binary64_2192`
4×	`add-log-exp_binary64_2163` `pow-to-exp_binary64_2193`
3×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147`
1×	`pow1/3_binary64_2206` `rem-cbrt-cube_binary64_2148`

Counts

4 → 128

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.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)))))) 3) 3))
6.0ms	(pow.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)))))) 3) 3)
4.0ms	(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)))))) 3)
3.0ms	(pow.f64 (sin.f64 phi1) 3)

Compiler

Compiled 13950 to 2415 computations (82.7% saved)

series2.4s (4.4%)

Error

0.1b

Counts

4 → 31

Calls

4 calls:

1000.0ms	(pow.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)))))) 3) 3)
669.0ms	(cbrt.f64 (pow.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)))))) 3) 3))
604.0ms	(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)))))) 3)
54.0ms	(pow.f64 (sin.f64 phi1) 3)

Compiler

Compiled 8256 to 2723 computations (67% saved)

simplify111.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4919	5492
1	4919	5492

prune508.0ms (0.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	159	15	174

Error

0.1b

Counts

174 → 15

Compiler

Compiled 15571 to 2343 computations (85% saved)

regimes3.0s (5.5%)

Accuracy

Total 0.1b remaining (75%)

Threshold costs 0.1b (75%)

Compiler

Compiled 50629 to 20762 computations (59% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	95	169
1	95	169

end0.0ms (0%)

sample12.9s (23.5%)

Algorithm

1×

intervals

Results

5.8s	3998×	body	1024	valid
1.2s	1347×	body	512	valid
541.0ms	2082×	body	128	valid
352.0ms	563×	body	256	valid
26.0ms	10×	body	2048	valid

Compiler

Compiled 7348 to 3020 computations (58.9% saved)

Details

analyze6.0s (10.9%)

sample293.0ms (0.5%)

simplify63.0ms (0.1%)

prune4.0ms (0%)

localize43.0ms (0.1%)

rewrite219.0ms (0.4%)

series1.5s (2.8%)

simplify138.0ms (0.2%)

prune204.0ms (0.4%)

localize62.0ms (0.1%)

rewrite831.0ms (1.5%)

series12.8s (23.1%)

simplify255.0ms (0.5%)

prune781.0ms (1.4%)

localize56.0ms (0.1%)

rewrite467.0ms (0.8%)

series10.9s (19.8%)

simplify181.0ms (0.3%)

prune683.0ms (1.2%)

localize72.0ms (0.1%)

rewrite542.0ms (1%)

series2.4s (4.4%)

simplify111.0ms (0.2%)

prune508.0ms (0.9%)

regimes3.0s (5.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample12.9s (23.5%)

Profiling