Details

analyze2.8s (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	273
1	1713	273
0	4	4
1	4	4

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)

sample233.0ms (1%)

Algorithm

1×

intervals

Results

174.0ms	180×	body	1024	valid
20.0ms	36×	body	512	valid
11.0ms	6×	body	2048	valid
5.0ms	14×	body	256	valid
3.0ms	20×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	385	39
1	385	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

Error

15.8b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.6b	(cos.f64 (-.f64 lambda1 lambda2))
3.8b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite136.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

11×	`add-sqr-sqrt_binary64_1805` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749` `associate-r_binary64_1723`
4×	`sin-sum_binary64_1916` `add-log-exp_binary64_1822` `cos-sum_binary64_1917` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
3×	`cos-diff_binary64_1920`
2×	`sub-neg_binary64_1776` `sin-cos-mult_binary64_1939` `*-commutative_binary64_1714`
1×	`sin-diff_binary64_1919` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*l/_binary64_1726` `unswap-sqr_binary64_1751`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 2042 to 375 computations (81.6% saved)

series1.0s (4.3%)

Error

12.0b

Counts

4 → 54

Calls

4 calls:

609.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
164.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
79.0ms	(sin.f64 (-.f64 lambda1 lambda2))
77.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4027 to 1913 computations (52.5% saved)

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5042	1867

prune209.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	101	17	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	17	119

Error

7.8b

Counts

119 → 17

Compiler

Compiled 3925 to 884 computations (77.5% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.6b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite154.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_1805`
13×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`associate-r_binary64_1723`
7×	`associate-l_binary64_1724`
5×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`cos-sum_binary64_1917` `add-log-exp_binary64_1822`
3×	`cos-diff_binary64_1920` `cancel-sign-sub-inv_binary64_1749` `*-commutative_binary64_1714`
2×	`sin-cos-mult_binary64_1939` `unswap-sqr_binary64_1751`
1×	`sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*l/_binary64_1726`

Counts

4 → 70

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2672 to 418 computations (84.4% saved)

series1.1s (4.8%)

Error

7.3b

Counts

4 → 54

Calls

4 calls:

593.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
178.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
170.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
87.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4979 to 2397 computations (51.9% saved)

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4963	1930
1	4963	1930

prune218.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	12	4	16
Picked	1	0	1
Done	0	0	0
Total	132	9	141

Error

0.1b

Counts

141 → 9

Compiler

Compiled 4772 to 828 computations (82.6% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
0.3b	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))

rewrite204.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

32×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
18×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
10×	`add-sqr-sqrt_binary64_1805` `associate-l_binary64_1724`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `*-commutative_binary64_1714`
2×	`sin-mult_binary64_1938`
1×	`associate-*r/_binary64_1725` `unswap-sqr_binary64_1751`

Counts

4 → 81

Calls

4 calls:

9.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
9.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
6.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4185 to 510 computations (87.8% saved)

series2.2s (9.1%)

Error

0.1b

Counts

4 → 59

Calls

4 calls:

739.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
732.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
399.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
179.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 7789 to 3221 computations (58.6% saved)

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5003	2469

prune261.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	140	9	149

Error

0.1b

Counts

149 → 9

Compiler

Compiled 7033 to 968 computations (86.2% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
0.3b	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)))
0.4b	(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)
22.7b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))

rewrite233.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

21×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
19×	`add-cbrt-cube_binary64_1819`
16×	`cbrt-prod_binary64_1814`
12×	`associate-r_binary64_1723`
10×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
9×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`add-log-exp_binary64_1822` `associate-l_binary64_1724`
3×	`sin-mult_binary64_1938` `cube-div_binary64_1812` `unpow-prod-down_binary64_1862` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `sqr-pow_binary64_1755` `pow-unpow_binary64_1860`
2×	`cbrt-div_binary64_1815` `pow-pow_binary64_1855` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `*-commutative_binary64_1714`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `pow-to-exp_binary64_1852` `associate-*r/_binary64_1725`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)))
9.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
5.0ms	(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))

Compiler

Compiled 4891 to 957 computations (80.4% saved)

series2.1s (8.8%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

769.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
715.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)))
322.0ms	(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)
168.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))

Compiler

Compiled 7402 to 3303 computations (55.4% saved)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4973	2707
1	4973	2707

prune283.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	143	9	152

Error

0.1b

Counts

152 → 9

Compiler

Compiled 7295 to 1205 computations (83.5% saved)

regimes2.0s (8.4%)

Accuracy

Total 0.1b remaining (58.8%)

Threshold costs 0.1b (58.8%)

Compiler

Compiled 24767 to 15868 computations (35.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	141	78
1	141	78

end0.0ms (0%)

sample10.1s (42.6%)

Algorithm

1×

intervals

Results

5.1s	5324×	body	1024	valid
739.0ms	1278×	body	512	valid
336.0ms	172×	body	2048	valid
145.0ms	410×	body	256	valid
139.0ms	816×	body	128	valid

Compiler

Compiled 4084 to 2613 computations (36% saved)

Details

analyze2.8s (12%)

sample233.0ms (1%)

simplify22.0ms (0.1%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite136.0ms (0.6%)

series1.0s (4.3%)

simplify84.0ms (0.4%)

prune209.0ms (0.9%)

localize29.0ms (0.1%)

rewrite154.0ms (0.7%)

series1.1s (4.8%)

simplify81.0ms (0.3%)

prune218.0ms (0.9%)

localize33.0ms (0.1%)

rewrite204.0ms (0.9%)

series2.2s (9.1%)

simplify73.0ms (0.3%)

prune261.0ms (1.1%)

localize34.0ms (0.1%)

rewrite233.0ms (1%)

series2.1s (8.8%)

simplify57.0ms (0.2%)

prune283.0ms (1.2%)

regimes2.0s (8.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample10.1s (42.6%)

Profiling