Details

analyze3.7s (13.3%)

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)

sample242.0ms (0.9%)

Algorithm

1×

intervals

Results

160.0ms	128×	body	1024	valid
33.0ms	46×	body	512	valid
13.0ms	60×	body	128	valid
10.0ms	21×	body	256	valid
3.0ms	1×	body	2048	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify137.0ms (0.5%)

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)

localize32.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(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))))))))
0.1b	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
0.1b	(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
0.0b	(+.f64 lambda1 (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	(*.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))))))
0.4b	(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)))))))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_3510`
8×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549`
6×	`associate-l_binary64_3429` `associate-r_binary64_3428` `add-log-exp_binary64_3527`
2×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419` `sin-mult_binary64_3643` `prod-exp_binary64_3537`
1×	`flip3--_binary64_3492` `diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `asin-acos_binary64_3668` `flip--_binary64_3463` `sub-neg_binary64_3481`

Counts

4 → 58

Calls

8 calls:

8.0ms	(*.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))))
0.0ms	(+.f64 lambda1 (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)))))))))

series1.2s (4.3%)

Counts

4 → 41

Calls

4 calls:

664.0ms	(-.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)))))))
347.0ms	(.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))))))
112.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
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 2660 to 1813 computations (31.8% saved)

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4862	2949
1	4862	2949

prune313.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Error

0.1b

Counts

100 → 10

Compiler

Compiled 4320 to 695 computations (83.9% saved)

localize48.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
0.1b	(+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
0.1b	(+.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))))))))))
0.0b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.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	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b	(-.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))
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)

rewrite40.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_3510`
8×	`difference-of-squares_binary64_3457` `cancel-sign-sub-inv_binary64_3454` `sqr-pow_binary64_3460` `*-un-lft-identity_binary64_3488`
7×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
6×	`add-cube-cbrt_binary64_3523` `add-log-exp_binary64_3527`
4×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
3×	`pow-unpow_binary64_3565`
2×	`pow-exp_binary64_3556` `unpow3_binary64_3554` `rem-cube-cbrt_binary64_3511` `asin-acos_binary64_3668` `cube-mult_binary64_3518` `pow-pow_binary64_3560`
1×	`distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `diff-log_binary64_3580` `cbrt-unprod_binary64_3521` `pow-to-exp_binary64_3557` `pow-prod-down_binary64_3559` `cube-div_binary64_3517` `flip--_binary64_3463` `sin-mult_binary64_3643` `prod-exp_binary64_3537` `sub-neg_binary64_3481` `difference-cubes_binary64_3490`

Counts

4 → 68

Calls

8 calls:

11.0ms	(-.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))
5.0ms	(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)
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.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)))))))))))))

series2.0s (7%)

Counts

4 → 41

Calls

4 calls:

1.0s	(-.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))
762.0ms	(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)
99.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
99.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Compiler

Compiled 6711 to 3097 computations (53.9% saved)

simplify98.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4934	4463
1	4934	4463

prune387.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Error

0.1b

Counts

119 → 11

Compiler

Compiled 10943 to 1586 computations (85.5% saved)

localize83.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
0.1b	(+.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))))))))))
0.1b	(+.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) (pow.f64 (cos.f64 delta) 3))
0.0b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 9) (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)))))) 9)) (+.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)))))) 6) (.f64 (pow.f64 (cos.f64 delta) 3) (+.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) (pow.f64 (cos.f64 delta) 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 (.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)
0.7b	(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)))))) 6)
0.8b	(pow.f64 (cos.f64 delta) 9)
0.9b	(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)))))) 9)

rewrite45.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_3526` `pow1_binary64_3549`
12×	`pow-unpow_binary64_3565`
9×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`pow-exp_binary64_3556` `add-cbrt-cube_binary64_3524` `pow-pow_binary64_3560`
6×	`unpow-prod-down_binary64_3567`
4×	`pow-to-exp_binary64_3557` `add-log-exp_binary64_3527` `sqr-pow_binary64_3460`
3×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537`
2×	`rem-cube-cbrt_binary64_3511`
1×	`unpow3_binary64_3554` `cbrt-unprod_binary64_3521` `cube-prod_binary64_3516` `cube-div_binary64_3517` `cube-mult_binary64_3518` `sin-mult_binary64_3643`

Counts

4 → 74

Calls

8 calls:

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	(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)))))) 9)
5.0ms	(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)))))) 6)
2.0ms	(pow.f64 (cos.f64 delta) 9)
0.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 9) (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)))))) 9)) (+.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)))))) 6) (.f64 (pow.f64 (cos.f64 delta) 3) (+.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) (pow.f64 (cos.f64 delta) 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)))))))))))))

series3.3s (11.8%)

Counts

4 → 35

Calls

4 calls:

1.4s	(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)))))) 9)
1.0s	(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)))))) 6)
811.0ms	(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)
97.0ms	(pow.f64 (cos.f64 delta) 9)

Compiler

Compiled 9261 to 3728 computations (59.7% saved)

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4946	3258
1	4946	3258

prune460.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	109	11	120

Error

0.1b

Counts

120 → 11

Compiler

Compiled 16471 to 2784 computations (83.1% saved)

localize78.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
0.1b	(+.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))))))))))
0.1b	(+.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) (pow.f64 (cos.f64 delta) 3))
0.0b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 delta) 3) (sqrt.f64 9)) (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)))))) 9)) (+.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)))))) 6) (.f64 (pow.f64 (cos.f64 delta) 3) (+.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) (pow.f64 (cos.f64 delta) 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	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
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)
0.7b	(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)))))) 6)
0.9b	(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)))))) 9)

rewrite42.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_3526` `pow1_binary64_3549`
9×	`pow-unpow_binary64_3565`
7×	`add-cbrt-cube_binary64_3524` `add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`pow-exp_binary64_3556` `pow-pow_binary64_3560`
4×	`add-log-exp_binary64_3527`
3×	`unpow-prod-down_binary64_3567` `pow-to-exp_binary64_3557` `pow-prod-down_binary64_3559` `sqr-pow_binary64_3460` `prod-exp_binary64_3537`
2×	`rem-cube-cbrt_binary64_3511`
1×	`unpow3_binary64_3554` `cbrt-unprod_binary64_3521` `cube-prod_binary64_3516` `asin-acos_binary64_3668` `cube-div_binary64_3517` `cube-mult_binary64_3518` `sin-mult_binary64_3643`

Counts

4 → 65

Calls

8 calls:

7.0ms	(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)
5.0ms	(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)))))) 9)
5.0ms	(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)))))) 6)
1.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 delta) 3) (sqrt.f64 9)) (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)))))) 9)) (+.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)))))) 6) (.f64 (pow.f64 (cos.f64 delta) 3) (+.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) (pow.f64 (cos.f64 delta) 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)))))))))))))

series3.4s (12%)

Counts

4 → 38

Calls

4 calls:

1.4s	(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)))))) 9)
1.0s	(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)))))) 6)
796.0ms	(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)
132.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Compiler

Compiled 10859 to 4532 computations (58.3% saved)

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5007	3504

prune446.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	102	12	114

Error

0.1b

Counts

114 → 12

Compiler

Compiled 15284 to 2618 computations (82.9% saved)

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	519	3191
1	519	3191

regimes546.0ms (1.9%)

Compiler: Compiled 9545 to 4550 computations (52.3% saved)

bsearch0.0ms (0%)

regimes482.0ms (1.7%)

Compiler: Compiled 8110 to 4065 computations (49.9% saved)

bsearch0.0ms (0%)

regimes459.0ms (1.6%)

Compiler: Compiled 7410 to 3840 computations (48.2% saved)

bsearch0.0ms (0%)

regimes363.0ms (1.3%)

Compiler: Compiled 5385 to 3080 computations (42.8% saved)

bsearch0.0ms (0%)

regimes318.0ms (1.1%)

Compiler: Compiled 4520 to 2745 computations (39.3% saved)

bsearch0.0ms (0%)

regimes138.0ms (0.5%)

Compiler: Compiled 760 to 690 computations (9.2% saved)

bsearch237.0ms (0.8%)

Steps

Iters	Range		Point
7	2.6663942780498596e-79	8.564210790276054e-78	7.128363531290528e-78
10	-1.8919808367272807e+25	-131187184094.93681	-448585922463.00494

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes113.0ms (0.4%)

Compiler: Compiled 570 to 550 computations (3.5% saved)

bsearch246.0ms (0.9%)

Steps

Iters	Range		Point
7	1.9990394582847513e-62	2.419386601128582e-60	2.3857630867486614e-60
10	-789113965.4004222	-0.16176819721993133	-0.16765974270127

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes70.0ms (0.2%)

Compiler: Compiled 250 to 320 computations (-28% saved)

bsearch0.0ms (0%)

regimes48.0ms (0.2%)

Compiler: Compiled 25 to 140 computations (-460% saved)

bsearch119.0ms (0.4%)

Steps

Iters	Range		Point
8	-3.013982667774156e-82	-7.9112967191940135e-87	-3.257395106156418e-86

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes44.0ms (0.2%)

Accuracy

Total 0.1b remaining (66.5%)

Threshold costs 0.1b (66.5%)

Compiler

Compiled 20 to 110 computations (-450% saved)

bsearch24.0ms (0.1%)

Compiler: Compiled 672 to 287 computations (57.3% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	210	1033
1	210	1033

end0.0ms (0%)

sample8.5s (30.3%)

Algorithm

1×

intervals

Results

4.8s	3905×	body	1024	valid
1.0s	1328×	body	512	valid
483.0ms	2218×	body	128	valid
252.0ms	540×	body	256	valid
26.0ms	9×	body	2048	valid

Compiler

Compiled 2564 to 1211 computations (52.8% saved)

Pareto

0.8763224078685745

Details

analyze3.7s (13.3%)

sample242.0ms (0.9%)

simplify137.0ms (0.5%)

prune4.0ms (0%)

localize32.0ms (0.1%)

rewrite28.0ms (0.1%)

series1.2s (4.3%)

simplify87.0ms (0.3%)

prune313.0ms (1.1%)

localize48.0ms (0.2%)

rewrite40.0ms (0.1%)

series2.0s (7%)

simplify98.0ms (0.3%)

prune387.0ms (1.4%)

localize83.0ms (0.3%)

rewrite45.0ms (0.2%)

series3.3s (11.8%)

simplify80.0ms (0.3%)

prune460.0ms (1.6%)

localize78.0ms (0.3%)

rewrite42.0ms (0.1%)

series3.4s (12%)

simplify63.0ms (0.2%)

prune446.0ms (1.6%)

simplify49.0ms (0.2%)

regimes546.0ms (1.9%)

bsearch0.0ms (0%)

regimes482.0ms (1.7%)

bsearch0.0ms (0%)

regimes459.0ms (1.6%)

bsearch0.0ms (0%)

regimes363.0ms (1.3%)

bsearch0.0ms (0%)

regimes318.0ms (1.1%)

bsearch0.0ms (0%)

regimes138.0ms (0.5%)

bsearch237.0ms (0.8%)

regimes113.0ms (0.4%)

bsearch246.0ms (0.9%)

regimes70.0ms (0.2%)

bsearch0.0ms (0%)

regimes48.0ms (0.2%)

bsearch119.0ms (0.4%)

regimes44.0ms (0.2%)

bsearch24.0ms (0.1%)

simplify13.0ms (0%)

end0.0ms (0%)

sample8.5s (30.3%)

Profiling