Details

analyze3.6s (23.6%)

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)

sample223.0ms (1.5%)

Algorithm

1×

intervals

Results

134.0ms	123×	body	1024	valid
45.0ms	48×	body	512	valid
13.0ms	64×	body	128	valid
8.0ms	19×	body	256	valid
5.0ms	2×	body	2048	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize30.0ms (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)))))))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1464`
8×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`associate-r_binary64_1382` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `sin-mult_binary64_1597` `unswap-sqr_binary64_1410`
1×	`cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `flip3--_binary64_1446` `flip--_binary64_1417` `diff-log_binary64_1534` `asin-acos_binary64_1622`

Counts

4 → 58

Calls

4 calls:

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))))))
5.0ms	(*.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))))

series402.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(-.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)))))))
147.0ms	(.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))))))
38.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
23.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4868	2133
1	4868	2133

prune134.0ms (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)

localize42.0ms (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)

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`pow-unpow_binary64_1519`
4×	`cube-prod_binary64_1470` `add-log-exp_binary64_1481` `unpow-prod-down_binary64_1521`
3×	`pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `pow-pow_binary64_1514`
2×	`cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `asin-acos_binary64_1622` `pow-to-exp_binary64_1511`
1×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cube-div_binary64_1471` `sin-mult_binary64_1597`

Counts

4 → 62

Calls

4 calls:

6.0ms	(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)
3.0ms	(pow.f64 (cos.f64 delta) 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))))

series463.0ms (3%)

Counts

4 → 12

Calls

4 calls:

393.0ms	(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)
26.0ms	(pow.f64 (cos.f64 delta) 3)
23.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
22.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5634	1714

prune208.0ms (1.4%)

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)

localize30.0ms (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))

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
10×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`cube-prod_binary64_1470` `add-log-exp_binary64_1481` `unpow-prod-down_binary64_1521`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`pow-unpow_binary64_1519`
2×	`cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508`
1×	`cancel-sign-sub-inv_binary64_1408` `pow-exp_binary64_1510` `sub-neg_binary64_1435` `flip3--_binary64_1446` `rem-cube-cbrt_binary64_1465` `flip--_binary64_1417` `diff-log_binary64_1534` `asin-acos_binary64_1622` `pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514`

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 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)))))
3.0ms	(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)
2.0ms	(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))
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series359.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(-.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)))))
118.0ms	(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)
25.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
23.0ms	(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))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4857	2760
1	4857	2760

prune131.0ms (0.9%)

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)

localize46.0ms (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)

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`cube-prod_binary64_1470` `pow-unpow_binary64_1519` `unpow-prod-down_binary64_1521`
7×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
4×	`add-log-exp_binary64_1481`
3×	`cube-mult_binary64_1472` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow-to-exp_binary64_1511` `pow-pow_binary64_1514`
1×	`asin-acos_binary64_1622`

Counts

4 → 77

Calls

4 calls:

4.0ms	(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)
3.0ms	(pow.f64 (sin.f64 phi1) 3)
3.0ms	(pow.f64 (cos.f64 delta) 3)
1.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series305.0ms (2%)

Counts

4 → 12

Calls

4 calls:

236.0ms	(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)
25.0ms	(pow.f64 (sin.f64 phi1) 3)
23.0ms	(pow.f64 (cos.f64 delta) 3)
22.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5081	1616

prune213.0ms (1.4%)

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)

regimes748.0ms (4.9%)

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

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	55
1	57	55

end0.0ms (0%)

sample7.8s (50.9%)

Algorithm

1×

intervals

Results

4.6s	3966×	body	1024	valid
942.0ms	1325×	body	512	valid
442.0ms	2188×	body	128	valid
237.0ms	508×	body	256	valid
30.0ms	13×	body	2048	valid

Compiler

Compiled 1809 to 988 computations (45.4% saved)

Details

analyze3.6s (23.6%)

sample223.0ms (1.5%)

simplify132.0ms (0.9%)

prune4.0ms (0%)

localize30.0ms (0.2%)

rewrite22.0ms (0.1%)

series402.0ms (2.6%)

simplify109.0ms (0.7%)

prune134.0ms (0.9%)

localize42.0ms (0.3%)

rewrite25.0ms (0.2%)

series463.0ms (3%)

simplify66.0ms (0.4%)

prune208.0ms (1.4%)

localize30.0ms (0.2%)

rewrite20.0ms (0.1%)

series359.0ms (2.3%)

simplify101.0ms (0.7%)

prune131.0ms (0.9%)

localize46.0ms (0.3%)

rewrite30.0ms (0.2%)

series305.0ms (2%)

simplify58.0ms (0.4%)

prune213.0ms (1.4%)

regimes748.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.8s (50.9%)

Profiling