Details

analyze4.6s (14.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4909	605
1	4909	605
0	5	5
1	5	5

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)

sample256.0ms (0.8%)

Algorithm

1×

intervals

Results

172.0ms	128×	body	1024	valid
37.0ms	46×	body	512	valid
13.0ms	60×	body	128	valid
9.0ms	21×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	463	55
1	463	55

prune5.0ms (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)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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)))))))

rewrite164.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_1805`
8×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`add-log-exp_binary64_1822` `associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`sin-mult_binary64_1938` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749` `asin-acos_binary64_1963`

Counts

4 → 58

Calls

4 calls:

11.0ms	(.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))))

Compiler

Compiled 2653 to 371 computations (86% saved)

series1.2s (3.7%)

Error

0.2b

Counts

4 → 41

Calls

4 calls:

513.0ms	(-.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)))))))
408.0ms	(.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))))))
116.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
97.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Compiler

Compiled 4081 to 1941 computations (52.4% saved)

simplify127.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4862	2949
1	4862	2949

prune182.0ms (0.6%)

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 4318 to 694 computations (83.9% saved)

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite257.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-sqr-sqrt_binary64_1805`
8×	`*-un-lft-identity_binary64_1783` `sqr-pow_binary64_1755` `difference-of-squares_binary64_1752` `cancel-sign-sub-inv_binary64_1749`
7×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`add-cube-cbrt_binary64_1818` `add-log-exp_binary64_1822`
4×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
3×	`pow-unpow_binary64_1860`
2×	`pow-pow_binary64_1855` `pow-exp_binary64_1851` `unpow3_binary64_1849` `cube-mult_binary64_1813` `rem-cube-cbrt_binary64_1806` `asin-acos_binary64_1963`
1×	`pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852` `prod-exp_binary64_1832` `sin-mult_binary64_1938` `cube-div_binary64_1812` `cbrt-unprod_binary64_1816` `diff-log_binary64_1875` `flip3--_binary64_1787` `difference-cubes_binary64_1785` `sub-neg_binary64_1776` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735`

Counts

4 → 68

Calls

4 calls:

16.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (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))
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)
3.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
2.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))

Compiler

Compiled 7202 to 951 computations (86.8% saved)

series2.5s (7.7%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

1.2s	(-.f64 (pow.f64 (cos.f64 delta) 3) (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))
938.0ms	(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)
122.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
120.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))

Compiler

Compiled 10305 to 3130 computations (69.6% saved)

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4935	4463
1	4935	4463

prune331.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Error

0.1b

Counts

119 → 11

Compiler

Compiled 10883 to 1533 computations (85.9% saved)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
0.4b	(-.f64 (pow.f64 (cos.f64 delta) 3) (log.f64 (exp.f64 (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))))
0.4b	(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)
3.4b	(log.f64 (exp.f64 (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)))

rewrite619.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`log-pow_binary64_1872`
17×	`add-sqr-sqrt_binary64_1805`
16×	`exp-prod_binary64_1835`
13×	`*-un-lft-identity_binary64_1783`
12×	`cancel-sign-sub-inv_binary64_1749`
10×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818`
7×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`log-prod_binary64_1869`
5×	`add-log-exp_binary64_1822`
4×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811` `sqr-pow_binary64_1755` `difference-of-squares_binary64_1752`
3×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `pow-unpow_binary64_1860` `associate--r+_binary64_1719`
2×	`pow-pow_binary64_1855` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `distribute-lft-out--_binary64_1735`
1×	`rem-log-exp_binary64_1824` `pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852` `prod-exp_binary64_1832` `sin-mult_binary64_1938` `cube-div_binary64_1812` `cbrt-unprod_binary64_1816` `diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `asin-acos_binary64_1963`

Counts

4 → 83

Calls

4 calls:

22.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (log.f64 (exp.f64 (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))))
11.0ms	(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)
8.0ms	(log.f64 (exp.f64 (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)))
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 8945 to 1317 computations (85.3% saved)

series4.7s (14.5%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

1.9s	(-.f64 (pow.f64 (cos.f64 delta) 3) (log.f64 (exp.f64 (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))))
1.7s	(log.f64 (exp.f64 (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)))
835.0ms	(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)
119.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))

Compiler

Compiled 10848 to 3508 computations (67.7% saved)

simplify132.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4963	4870
1	4963	4870

prune377.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	125	11	136

Error

0.1b

Counts

136 → 11

Compiler

Compiled 12389 to 1779 computations (85.6% saved)

localize59.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(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 (.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)
0.6b	(pow.f64 (cos.f64 delta) 6)
0.7b	(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))))))) 6)

rewrite293.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
9×	`pow-unpow_binary64_1860`
8×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
7×	`add-cbrt-cube_binary64_1819`
5×	`unpow-prod-down_binary64_1862` `pow-pow_binary64_1855` `pow-exp_binary64_1851`
4×	`add-log-exp_binary64_1822`
3×	`pow-to-exp_binary64_1852` `sqr-pow_binary64_1755`
2×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `rem-cube-cbrt_binary64_1806`
1×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `sin-mult_binary64_1938` `cube-div_binary64_1812` `cube-prod_binary64_1811` `cbrt-unprod_binary64_1816` `asin-acos_binary64_1963`

Counts

4 → 65

Calls

4 calls:

9.0ms	(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))))))) 6)
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)
5.0ms	(pow.f64 (cos.f64 delta) 6)
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 8060 to 1205 computations (85% saved)

series2.4s (7.5%)

Error

0.1b

Counts

4 → 35

Calls

4 calls:

1.3s	(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))))))) 6)
850.0ms	(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)
144.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
76.0ms	(pow.f64 (cos.f64 delta) 6)

Compiler

Compiled 11535 to 3295 computations (71.4% saved)

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4926	2741
1	4926	2741

prune330.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	98	13	111

Error

0.1b

Counts

111 → 13

Compiler

Compiled 11793 to 1668 computations (85.9% saved)

regimes1.9s (5.9%)

Accuracy

Total 0.1b remaining (70.4%)

Threshold costs 0.1b (70.4%)

Compiler

Compiled 28306 to 12537 computations (55.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	285
1	65	285

end0.0ms (0%)

sample11.3s (35.2%)

Algorithm

1×

intervals

Results

5.9s	3905×	body	1024	valid
1.2s	1328×	body	512	valid
599.0ms	2218×	body	128	valid
308.0ms	540×	body	256	valid
30.0ms	9×	body	2048	valid

Compiler

Compiled 4229 to 1855 computations (56.1% saved)

Details

analyze4.6s (14.4%)

sample256.0ms (0.8%)

simplify69.0ms (0.2%)

prune5.0ms (0%)

localize30.0ms (0.1%)

rewrite164.0ms (0.5%)

series1.2s (3.7%)

simplify127.0ms (0.4%)

prune182.0ms (0.6%)

localize63.0ms (0.2%)

rewrite257.0ms (0.8%)

series2.5s (7.7%)

simplify118.0ms (0.4%)

prune331.0ms (1%)

localize52.0ms (0.2%)

rewrite619.0ms (1.9%)

series4.7s (14.5%)

simplify132.0ms (0.4%)

prune377.0ms (1.2%)

localize59.0ms (0.2%)

rewrite293.0ms (0.9%)

series2.4s (7.5%)

simplify63.0ms (0.2%)

prune330.0ms (1%)

regimes1.9s (5.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample11.3s (35.2%)

Profiling