Details

analyze2.5s (11.8%)

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)

sample215.0ms (1%)

Algorithm

1×

intervals

Results

143.0ms	163×	body	1024	valid
31.0ms	47×	body	512	valid
15.0ms	8×	body	2048	valid
5.0ms	16×	body	256	valid
3.0ms	22×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

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

10.6b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(sin.f64 (-.f64 lambda1 lambda2))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite118.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

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×	`cos-sum_binary64_1917` `add-log-exp_binary64_1822` `sin-sum_binary64_1916` `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	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2042 to 375 computations (81.6% saved)

series706.0ms (3.3%)

Error

8.2b

Counts

4 → 54

Calls

4 calls:

404.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
117.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
58.0ms	(cos.f64 (-.f64 lambda1 lambda2))
55.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4125 to 1997 computations (51.6% saved)

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4954	1802
1	4954	1802

prune176.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	103	15	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	15	119

Error

5.8b

Counts

119 → 15

Compiler

Compiled 3837 to 857 computations (77.7% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite130.0ms (0.6%)

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` `associate-l/_binary64_1726` `-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` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2897 to 394 computations (86.4% saved)

series1.1s (4.9%)

Error

5.4b

Counts

4 → 59

Calls

4 calls:

428.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
392.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
112.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
57.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5508 to 2639 computations (52.1% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5007	2606

prune199.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	11	3	14
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Error

0.1b

Counts

146 → 11

Compiler

Compiled 5277 to 885 computations (83.2% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite159.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
13×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805`
10×	`associate-l_binary64_1724`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `*-commutative_binary64_1714`
2×	`sin-mult_binary64_1938` `unswap-sqr_binary64_1751` `associate-*l/_binary64_1726`
1×	`associate-*r/_binary64_1725` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

4 → 80

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
10.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
7.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4225 to 483 computations (88.6% saved)

series1.3s (6.3%)

Error

0.1b

Counts

4 → 59

Calls

4 calls:

489.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
371.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
283.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
112.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 7451 to 3041 computations (59.2% saved)

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4981	2788
1	4981	2788

prune225.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	137	13	150

Error

0.0b

Counts

150 → 13

Compiler

Compiled 7410 to 1106 computations (85.1% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
7.4b	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
7.4b	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
7.4b	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))

rewrite137.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_1844`
10×	`add-sqr-sqrt_binary64_1805`
9×	`pow1/3_binary64_1865`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`sin-mult_binary64_1938` `cbrt-div_binary64_1815` `cbrt-prod_binary64_1814`
6×	`add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `*-commutative_binary64_1714`

Counts

4 → 64

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
5.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
4.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
4.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))

Compiler

Compiled 4178 to 492 computations (88.2% saved)

series1.3s (5.9%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

413.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
261.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
258.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
252.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))

Compiler

Compiled 6175 to 2676 computations (56.7% saved)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4936	1275
1	4936	1275

prune146.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	98	13	111

Error

0.0b

Counts

111 → 13

Compiler

Compiled 5927 to 728 computations (87.7% saved)

regimes2.0s (9.5%)

Accuracy

Total 0.1b remaining (75.9%)

Threshold costs 0.1b (75.9%)

Compiler

Compiled 30518 to 18577 computations (39.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	160	73
1	160	73

end0.0ms (0%)

sample10.4s (48.7%)

Algorithm

1×

intervals

Results

5.1s	5379×	body	1024	valid
721.0ms	1298×	body	512	valid
342.0ms	174×	body	2048	valid
153.0ms	399×	body	256	valid
122.0ms	750×	body	128	valid

Compiler

Compiled 4967 to 3020 computations (39.2% saved)

Details

analyze2.5s (11.8%)

sample215.0ms (1%)

simplify109.0ms (0.5%)

prune4.0ms (0%)

localize20.0ms (0.1%)

rewrite118.0ms (0.6%)

series706.0ms (3.3%)

simplify102.0ms (0.5%)

prune176.0ms (0.8%)

localize30.0ms (0.1%)

rewrite130.0ms (0.6%)

series1.1s (4.9%)

simplify76.0ms (0.4%)

prune199.0ms (0.9%)

localize30.0ms (0.1%)

rewrite159.0ms (0.7%)

series1.3s (6.3%)

simplify77.0ms (0.4%)

prune225.0ms (1.1%)

localize35.0ms (0.2%)

rewrite137.0ms (0.6%)

series1.3s (5.9%)

simplify74.0ms (0.3%)

prune146.0ms (0.7%)

regimes2.0s (9.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample10.4s (48.7%)

Profiling