Details

analyze6.8s (23%)

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)

sample418.0ms (1.4%)

Algorithm

1×

intervals

Results

276.0ms	123×	body	1024	valid
64.0ms	48×	body	512	valid
24.0ms	64×	body	128	valid
17.0ms	19×	body	256	valid
9.0ms	2×	body	2048	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify232.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize53.0ms (0.2%)

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)))))))

rewrite43.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_2146`
8×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
6×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `sin-mult_binary64_2279` `cbrt-unprod_binary64_2157`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `diff-log_binary64_2216` `sub-neg_binary64_2117` `asin-acos_binary64_2304`

Counts

4 → 58

Calls

4 calls:

10.0ms	(.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))))))
9.0ms	(*.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))))

series706.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

335.0ms	(-.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)))))))
265.0ms	(.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))))))
68.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
37.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify197.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4868	2133
1	4868	2133

prune252.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	10	71

Merged error: 0.1b

Counts

71 → 10

Compiler

Compiled 3356 to 625 computations (81.4% saved)

localize84.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.3b	(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)
0.5b	(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)

rewrite48.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
6×	`pow-unpow_binary64_2201`
4×	`unpow-prod-down_binary64_2203` `add-log-exp_binary64_2163` `cube-prod_binary64_2152`
3×	`pow-pow_binary64_2196` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096` `pow-to-exp_binary64_2193` `asin-acos_binary64_2304`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `sin-mult_binary64_2279` `cube-div_binary64_2153` `cbrt-unprod_binary64_2157`

Counts

4 → 62

Calls

4 calls:

11.0ms	(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)
5.0ms	(pow.f64 (cos.f64 delta) 3)
3.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
3.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series818.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

704.0ms	(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)
43.0ms	(pow.f64 (cos.f64 delta) 3)
36.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
36.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5634	1714

prune371.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	73	11	84

Merged error: 0.1b

Counts

84 → 11

Compiler

Compiled 7517 to 1186 computations (84.2% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.5b	(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)
0.6b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)))))
9.9b	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2155`
10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
6×	`unpow-prod-down_binary64_2203` `add-log-exp_binary64_2163` `cube-prod_binary64_2152`
5×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow-unpow_binary64_2201`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `pow-pow_binary64_2196` `rem-cbrt-cube_binary64_2148` `pow-exp_binary64_2192` `diff-log_binary64_2216` `pow1/3_binary64_2206` `sub-neg_binary64_2117` `pow-to-exp_binary64_2193` `asin-acos_binary64_2304` `rem-cube-cbrt_binary64_2147`

Counts

4 → 64

Calls

4 calls:

8.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.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	(pow.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	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3))
3.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series645.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

342.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)))))
218.0ms	(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)
45.0ms	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3))
39.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify190.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4857	2760
1	4857	2760

prune236.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	76	11	87

Merged error: 0.1b

Counts

87 → 11

Compiler

Compiled 3992 to 910 computations (77.2% saved)

localize100.0ms (0.3%)

Local error

Found 4 expressions with local error:

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	(pow.f64 (sin.f64 phi1) 3)
0.4b	(pow.f64 (cos.f64 delta) 3)
0.5b	(pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)

rewrite54.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`pow-unpow_binary64_2201` `unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163`
3×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `pow-pow_binary64_2196` `pow-exp_binary64_2192` `sqr-pow_binary64_2096` `pow-to-exp_binary64_2193` `rem-cube-cbrt_binary64_2147`
1×	`asin-acos_binary64_2304`

Counts

4 → 77

Calls

4 calls:

7.0ms	(pow.f64 (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 (sin.f64 phi1) 3)
5.0ms	(pow.f64 (cos.f64 delta) 3)
3.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series561.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

433.0ms	(pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)
45.0ms	(pow.f64 (cos.f64 delta) 3)
43.0ms	(pow.f64 (sin.f64 phi1) 3)
40.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5081	1616

prune377.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	89	11	100

Merged error: 0.1b

Counts

100 → 11

Compiler

Compiled 8287 to 1195 computations (85.6% saved)

regimes1.4s (4.9%)

Compiler: Compiled 12332 to 6692 computations (45.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	55
1	57	55

end0.0ms (0%)

sample15.5s (52.7%)

Algorithm

1×

intervals

Results

9.0s	3966×	body	1024	valid
1.9s	1325×	body	512	valid
1.3s	2188×	body	128	valid
460.0ms	508×	body	256	valid
58.0ms	13×	body	2048	valid

Compiler

Compiled 1809 to 988 computations (45.4% saved)

Details

analyze6.8s (23%)

sample418.0ms (1.4%)

simplify232.0ms (0.8%)

prune8.0ms (0%)

localize53.0ms (0.2%)

rewrite43.0ms (0.1%)

series706.0ms (2.4%)

simplify197.0ms (0.7%)

prune252.0ms (0.9%)

localize84.0ms (0.3%)

rewrite48.0ms (0.2%)

series818.0ms (2.8%)

simplify119.0ms (0.4%)

prune371.0ms (1.3%)

localize61.0ms (0.2%)

rewrite39.0ms (0.1%)

series645.0ms (2.2%)

simplify190.0ms (0.6%)

prune236.0ms (0.8%)

localize100.0ms (0.3%)

rewrite54.0ms (0.2%)

series561.0ms (1.9%)

simplify113.0ms (0.4%)

prune377.0ms (1.3%)

regimes1.4s (4.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample15.5s (52.7%)

Profiling