Details

analyze3.8s (13.9%)

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)

sample220.0ms (0.8%)

Algorithm

1×

intervals

Results

139.0ms	123×	body	1024	valid
32.0ms	47×	body	512	valid
21.0ms	72×	body	128	valid
6.0ms	14×	body	256	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

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

0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(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	(.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))))
0.4b	(-.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)))))))

rewrite105.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`add-sqr-sqrt_binary64_1123`
6×	`add-log-exp_binary64_1140` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
3×	`associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`asin-acos_binary64_1281`
1×	`diff-log_binary64_1193` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067` `sin-mult_binary64_1256` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `sin-asin_binary64_1266` `sin-diff_binary64_1237`

Counts

4 → 48

Calls

4 calls:

6.0ms	(.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)))))))
2.0ms	(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 2337 to 314 computations (86.6% saved)

series1.1s (4.1%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

431.0ms	(-.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)))))))
343.0ms	(.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))))))
230.0ms	(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
77.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Compiler

Compiled 4125 to 1928 computations (53.3% saved)

simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4929	3211
1	4929	3211

prune136.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Error

0.1b

Counts

91 → 8

Compiler

Compiled 3912 to 574 computations (85.3% 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)))))
0.4b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.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	(pow.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))) 3)
6.5b	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))) 3))

rewrite133.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`cbrt-prod_binary64_1132`
10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`add-log-exp_binary64_1140` `unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
5×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`pow-unpow_binary64_1178`
2×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `sqr-pow_binary64_1073`
1×	`pow1/3_binary64_1183` `rem-cbrt-cube_binary64_1125` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `diff-log_binary64_1193` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067` `asin-acos_binary64_1281`

Counts

4 → 64

Calls

4 calls:

4.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.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 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))) 3)
3.0ms	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))) 3))
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 3426 to 786 computations (77.1% saved)

series966.0ms (3.6%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

437.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))) 3)))))
318.0ms	(pow.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)))))
78.0ms	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))) 3))

Compiler

Compiled 4134 to 2130 computations (48.5% saved)

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4876	3647
1	4876	3647

prune148.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Error

0.1b

Counts

113 → 8

Compiler

Compiled 4697 to 925 computations (80.3% saved)

localize37.0ms (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 (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)))))))))
0.4b	(-.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)))))))))

rewrite338.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

43×	`pow1_binary64_1162`
18×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
17×	`pow-prod-down_binary64_1172`
16×	`sin-mult_binary64_1256`
13×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
12×	`times-frac_binary64_1107`
10×	`cos-mult_binary64_1255`
8×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
7×	`associate-/l/_binary64_1048`
6×	`add-log-exp_binary64_1140` `frac-sub_binary64_1110`
5×	`associate-l/_binary64_1044` `associate-r/_binary64_1043` `difference-of-squares_binary64_1070`
4×	`sub-div_binary64_1108` `associate-/l*_binary64_1046` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
3×	`frac-times_binary64_1111` `associate-/r*_binary64_1045`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate-/r/_binary64_1047` `pow-plus_binary64_1164`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `sqr-cos-a_binary64_1250` `associate--l+_binary64_1038` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `pow2_binary64_1182` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041` `*-commutative_binary64_1032` `asin-acos_binary64_1281`

Counts

4 → 105

Calls

4 calls:

14.0ms	(/.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)))))))))
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)))))

Compiler

Compiled 11506 to 735 computations (93.6% saved)

series4.0s (14.6%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

2.4s	(/.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)))))))))
774.0ms	(-.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)))))))))
592.0ms	(.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))))))))
93.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))

Compiler

Compiled 10353 to 3515 computations (66% saved)

simplify138.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	10852
1	4986	10852

prune351.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	150	9	159

Error

0.1b

Counts

159 → 9

Compiler

Compiled 13447 to 1856 computations (86.2% saved)

localize37.0ms (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 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (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)))) (+.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 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (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))))
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)

rewrite218.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107`
7×	`add-exp-log_binary64_1139`
6×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
5×	`pow1_binary64_1162`
3×	`unpow-prod-down_binary64_1180` `pow-unpow_binary64_1178` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `unpow2_binary64_1166` `sqr-pow_binary64_1073` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `sqr-cos-a_binary64_1250` `associate--l+_binary64_1038` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `asin-acos_binary64_1281`

Counts

4 → 71

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (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)))) (+.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)))))))))
10.0ms	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (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))))
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)))))) 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 6615 to 1028 computations (84.5% saved)

series3.8s (13.9%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

2.4s	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (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)))) (+.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)))))))))
782.0ms	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (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))))
385.0ms	(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)
93.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))

Compiler

Compiled 9754 to 3537 computations (63.7% saved)

simplify121.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4981	9005
1	4981	9005

prune265.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	117	8	125

Error

0.1b

Counts

125 → 8

Compiler

Compiled 9636 to 1776 computations (81.6% saved)

regimes1.6s (5.8%)

Accuracy

Total 0.1b remaining (60.7%)

Threshold costs 0.1b (60.7%)

Compiler

Compiled 30770 to 13223 computations (57% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	85	133
1	85	133

end0.0ms (0%)

sample9.5s (34.9%)

Algorithm

1×

intervals

Results

5.0s	3989×	body	1024	valid
951.0ms	1321×	body	512	valid
474.0ms	2152×	body	128	valid
238.0ms	522×	body	256	valid
39.0ms	16×	body	2048	valid

Compiler

Compiled 4489 to 1926 computations (57.1% saved)

Details

analyze3.8s (13.9%)

sample220.0ms (0.8%)

simplify44.0ms (0.2%)

prune4.0ms (0%)

localize35.0ms (0.1%)

rewrite105.0ms (0.4%)

series1.1s (4.1%)

simplify90.0ms (0.3%)

prune136.0ms (0.5%)

localize29.0ms (0.1%)

rewrite133.0ms (0.5%)

series966.0ms (3.6%)

simplify91.0ms (0.3%)

prune148.0ms (0.5%)

localize37.0ms (0.1%)

rewrite338.0ms (1.2%)

series4.0s (14.6%)

simplify138.0ms (0.5%)

prune351.0ms (1.3%)

localize37.0ms (0.1%)

rewrite218.0ms (0.8%)

series3.8s (13.9%)

simplify121.0ms (0.4%)

prune265.0ms (1%)

regimes1.6s (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample9.5s (34.9%)

Profiling