Details

analyze3.5s (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
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)

sample214.0ms (1.1%)

Algorithm

1×

intervals

Results

134.0ms	120×	body	1024	valid
37.0ms	45×	body	512	valid
13.0ms	71×	body	128	valid
9.0ms	20×	body	256	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

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 (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 theta) (sin.f64 delta))
0.2b	(.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)))))))

rewrite125.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Compiler

Compiled 2653 to 371 computations (86% saved)

series992.0ms (5%)

Error

0.2b

Counts

4 → 38

Calls

4 calls:

415.0ms	(-.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))))))
107.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
80.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Compiler

Compiled 3745 to 1788 computations (52.3% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4913	2828
1	4913	2828

prune152.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	9	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Error

0.1b

Counts

97 → 9

Compiler

Compiled 4144 to 635 computations (84.7% saved)

localize42.0ms (0.2%)

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

rewrite187.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 62

Calls

4 calls:

6.0ms	(pow.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))))))) 3)
2.0ms	(pow.f64 (cos.f64 delta) 3)
1.0ms	(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 6003 to 772 computations (87.1% saved)

series1.1s (5.4%)

Error

0.1b

Counts

4 → 32

Calls

4 calls:

753.0ms	(pow.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))))))) 3)
102.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
97.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
48.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 8246 to 2461 computations (70.2% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5547	2252

prune240.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Error

0.1b

Counts

103 → 8

Compiler

Compiled 8938 to 1214 computations (86.4% saved)

localize43.0ms (0.2%)

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	(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 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 3)

rewrite224.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
9×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519` `cube-prod_binary64_1470`
7×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`add-log-exp_binary64_1481`
3×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow3_binary64_1508` `cube-mult_binary64_1472` `rem-cube-cbrt_binary64_1465` `sqr-pow_binary64_1414`
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 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 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 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))

Compiler

Compiled 7495 to 1162 computations (84.5% saved)

series762.0ms (3.8%)

Error

0.1b

Counts

4 → 26

Calls

4 calls:

493.0ms	(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)))))) 3)
108.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
51.0ms	(pow.f64 (sin.f64 phi1) 3)
50.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 6716 to 2146 computations (68% saved)

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4932	1933
1	4932	1933

prune266.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Error

0.1b

Counts

111 → 9

Compiler

Compiled 9914 to 1599 computations (83.9% saved)

localize44.0ms (0.2%)

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	(cbrt.f64 (pow.f64 (cos.f64 delta) 9))
0.4b	(pow.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))))))) 3)
0.8b	(pow.f64 (cos.f64 delta) 9)

rewrite407.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
8×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
7×	`unpow-prod-down_binary64_1521` `add-cbrt-cube_binary64_1478` `cbrt-prod_binary64_1473`
6×	`pow-unpow_binary64_1519`
4×	`add-log-exp_binary64_1481`
3×	`pow-pow_binary64_1514` `pow-exp_binary64_1510` `sqr-pow_binary64_1414`
2×	`pow-to-exp_binary64_1511` `rem-cube-cbrt_binary64_1465`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sin-mult_binary64_1597` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cbrt-unprod_binary64_1475` `pow1/3_binary64_1524` `asin-acos_binary64_1622`

Counts

4 → 63

Calls

4 calls:

5.0ms	(pow.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))))))) 3)
3.0ms	(pow.f64 (cos.f64 delta) 9)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 delta) 9))
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 6125 to 878 computations (85.7% saved)

series1.1s (5.3%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

757.0ms	(pow.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))))))) 3)
106.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
79.0ms	(pow.f64 (cos.f64 delta) 9)
51.0ms	(cbrt.f64 (pow.f64 (cos.f64 delta) 9))

Compiler

Compiled 6946 to 2140 computations (69.2% saved)

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4897	2013
1	4897	2013

prune210.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	89	10	99

Error

0.1b

Counts

99 → 10

Compiler

Compiled 8292 to 1086 computations (86.9% saved)

regimes1.2s (6.2%)

Accuracy

Total 0.1b remaining (66.6%)

Threshold costs 0.1b (66.6%)

Compiler

Compiled 22783 to 10668 computations (53.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	147
1	73	147

end0.0ms (0%)

sample8.6s (43.4%)

Algorithm

1×

intervals

Results

4.6s	3940×	body	1024	valid
991.0ms	1378×	body	512	valid
442.0ms	2178×	body	128	valid
227.0ms	495×	body	256	valid
22.0ms	9×	body	2048	valid

Compiler

Compiled 3357 to 1569 computations (53.3% saved)

Details

analyze3.5s (17.4%)

sample214.0ms (1.1%)

simplify137.0ms (0.7%)

prune4.0ms (0%)

localize32.0ms (0.2%)

rewrite125.0ms (0.6%)

series992.0ms (5%)

simplify80.0ms (0.4%)

prune152.0ms (0.8%)

localize42.0ms (0.2%)

rewrite187.0ms (0.9%)

series1.1s (5.4%)

simplify66.0ms (0.3%)

prune240.0ms (1.2%)

localize43.0ms (0.2%)

rewrite224.0ms (1.1%)

series762.0ms (3.8%)

simplify63.0ms (0.3%)

prune266.0ms (1.3%)

localize44.0ms (0.2%)

rewrite407.0ms (2.1%)

series1.1s (5.3%)

simplify102.0ms (0.5%)

prune210.0ms (1.1%)

regimes1.2s (6.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.6s (43.4%)

Profiling