Details

analyze2.6s (17.4%)

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
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample238.0ms (1.6%)

Algorithm

1×

intervals

Results

176.0ms	158×	body	1024	valid
25.0ms	43×	body	512	valid
13.0ms	5×	body	2048	valid
6.0ms	35×	body	128	valid
5.0ms	15×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify175.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	367	39
1	367	39

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

Merged error: 14.9b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.1b	(sin.f64 (-.f64 lambda1 lambda2))
4.1b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
6×	`add-log-exp_binary64_1798`
5×	`cos-diff_binary64_1896` `add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `sub-neg_binary64_1755` `associate-r_binary64_1704`
2×	`associate--r+_binary64_1700` `distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713`
1×	`flip3--_binary64_1766` `diff-log_binary64_1851` `sin-cos-mult_binary64_1915` `associate-l/_binary64_1707` `flip--_binary64_1737` `-commutative_binary64_1695` `sin-diff_binary64_1895` `sin-sum_binary64_1892` `associate-l_binary64_1705` `cos-sum_binary64_1893`

Counts

4 → 52

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

series628.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

358.0ms	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
206.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
34.0ms	(sin.f64 (-.f64 lambda1 lambda2))
30.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5517	1258

prune104.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	53	11	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	11	65

Merged error: 7.2b

Counts

65 → 11

Compiler

Compiled 2308 to 485 computations (79% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.1b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.1b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1783` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
9×	`-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `associate-r*_binary64_1704`
7×	`associate-l_binary64_1705`
5×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792`
4×	`add-log-exp_binary64_1798`
3×	`cos-diff_binary64_1896` `*-commutative_binary64_1695`
2×	`unswap-sqr_binary64_1730`
1×	`sin-cos-mult_binary64_1915` `associate-*l/_binary64_1707` `distribute-rgt-in_binary64_1714` `sub-neg_binary64_1755` `distribute-lft-in_binary64_1713` `cos-sum_binary64_1893`

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

series381.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
70.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
70.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
31.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4854	1035
1	4854	1035

prune115.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	80	9	89

Merged error: 0.0b

Counts

89 → 9

Compiler

Compiled 3149 to 565 computations (82.1% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
18×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792`
12×	`add-sqr-sqrt_binary64_1783`
8×	`-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `associate-l_binary64_1705` `associate-r*_binary64_1704`
4×	`sin-cos-mult_binary64_1915` `add-log-exp_binary64_1798` `*-commutative_binary64_1695`
3×	`sin-mult_binary64_1914`
2×	`frac-times_binary64_1772` `unswap-sqr_binary64_1730` `associate-l/_binary64_1707` `cos-mult_binary64_1913` `associate-r/_binary64_1706`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
10.0ms	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

series641.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

261.0ms	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
224.0ms	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
83.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
72.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4977	1542
1	4977	1542

prune162.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	97	11	108

Merged error: 0.0b

Counts

108 → 11

Compiler

Compiled 5220 to 747 computations (85.7% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
2.9b	(log.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 phi1) (cos.f64 phi2))))

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_1797`
20×	`add-cbrt-cube_binary64_1795` `pow1_binary64_1820`
14×	`add-sqr-sqrt_binary64_1783`
10×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
7×	`log-prod_binary64_1845` `associate-l_binary64_1705` `associate-r_binary64_1704`
4×	`add-log-exp_binary64_1798`
3×	`*-commutative_binary64_1695` `unpow-prod-down_binary64_1838` `rem-log-exp_binary64_1800`
2×	`sin-cos-mult_binary64_1915` `unswap-sqr_binary64_1730` `cos-mult_binary64_1913`
1×	`frac-times_binary64_1772` `sqr-pow_binary64_1734` `log-pow_binary64_1848` `associate-l/_binary64_1707` `pow-exp_binary64_1827` `associate-r/_binary64_1706` `sin-mult_binary64_1914` `pow-to-exp_binary64_1828`

Counts

4 → 80

Calls

4 calls:

12.0ms	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
4.0ms	(log.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 phi1) (cos.f64 phi2))))

series813.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

424.0ms	(log.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (sin.f64 phi1) (cos.f64 phi2))))
248.0ms	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
71.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
69.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4981	1479
1	4981	1479

prune132.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

Compiler

Compiled 4602 to 515 computations (88.8% saved)

regimes220.0ms (1.5%)

Compiler: Compiled 2866 to 1503 computations (47.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	129	77
1	129	77

end0.0ms (0%)

sample8.1s (54.4%)

Algorithm

1×

intervals

Results

5.8s	5378×	body	1024	valid
744.0ms	1232×	body	512	valid
430.0ms	158×	body	2048	valid
155.0ms	815×	body	128	valid
154.0ms	417×	body	256	valid

Compiler

Compiled 593 to 318 computations (46.4% saved)

Details

analyze2.6s (17.4%)

sample238.0ms (1.6%)

simplify175.0ms (1.2%)

prune4.0ms (0%)

localize30.0ms (0.2%)

rewrite28.0ms (0.2%)

series628.0ms (4.2%)

simplify74.0ms (0.5%)

prune104.0ms (0.7%)

localize39.0ms (0.3%)

rewrite30.0ms (0.2%)

series381.0ms (2.6%)

simplify92.0ms (0.6%)

prune115.0ms (0.8%)

localize39.0ms (0.3%)

rewrite44.0ms (0.3%)

series641.0ms (4.3%)

simplify58.0ms (0.4%)

prune162.0ms (1.1%)

localize37.0ms (0.3%)

rewrite40.0ms (0.3%)

series813.0ms (5.5%)

simplify61.0ms (0.4%)

prune132.0ms (0.9%)

regimes220.0ms (1.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.1s (54.4%)

Profiling